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It has been demonstrated that perovskite oxides with the general formula ABO&lt;sub&gt;3&lt;/sub&gt; (A - lanthanides, alkaline-earth metals, B - transition metal cations) exhibit the colossal magnetoresistance (CMR) phenomenon and can be used for various spintronics applications [1]. Many efforts were made in structural and chemical engineering of such materials in order to tune their functional properties along a wide range of temperatures and magnetic fields. It was found that epitaxial films exhibit high magnetoresistance (&lt;i&gt;MR&lt;/i&gt;) values only in the vicinity of phase transition temperature, while polycrystalline films exhibit significant &lt;i&gt;MR&lt;/i&gt; in a wide range of temperatures. Engineering of lanthanum manganites with special nanocrystalline (polycrystalline with nanosize grains) structure enabled to develop so-called CMR-B-scalar sensors, which are capable to measure the magnitude of pulsed magnetic fields in very small volumes independently on field direction [2]. Such sensors have been used in advanced scientific equipment to measure magnetic field dynamics [3-4]. It is worth to note, that in the past decades the most extensive research was performed on A-site doped manganites. This doping results in a mixed valance state of the manganese ions (Mn&lt;sup&gt;3&lt;/sup&gt;&lt;sup&gt;+&lt;/sup&gt; and Mn&lt;sup&gt;4&lt;/sup&gt;&lt;sup&gt;+&lt;/sup&gt;&lt;i&gt;) &lt;/i&gt;giving rise to the ferromagnetic (FM) double exchange (DE) interaction, which determines transport and magnetic properties of these materials. On the other hand, it was proposed that the B-site doping with 3&lt;i&gt;d &lt;/i&gt;ions (Co, etc.) would destroy the long-range FM ordering of the Mn&lt;sup&gt;3&lt;/sup&gt;&lt;sup&gt;+&lt;/sup&gt;-O&lt;sup&gt;2-&lt;/sup&gt;-Mn&lt;sup&gt;4&lt;/sup&gt;&lt;sup&gt;+&lt;/sup&gt; network resulting in a complex glassy state which arises from the competition of FM and antiferromagnetic (AFM) interactions. Therefore, significant change of the magnetic and electrical properties of manganites is expected. It was demonstrated, that substitution of Co for Mn in La&lt;sub&gt;1-x&lt;/sub&gt;Sr&lt;sub&gt;x&lt;/sub&gt;MnO&lt;sub&gt;3&lt;/sub&gt; results in increased room temperature &lt;i&gt;MR&lt;/i&gt; [5]. A variety of competing magnetic interactions in Co-doped manganites [6] still remains unclear, especially in nanostructured films, therefore, their investigations are of great interest. In addition, the long-term stability [7] of magnetoresistive properties of such films is very important for magnetic field sensors applications.&lt;br/&gt;In this study, the resistivity &lt;i&gt;ρ&lt;/i&gt; and &lt;i&gt;MR&lt;/i&gt; of nanostructured Co-doped manganite films deposited at different growth rate was investigated in magnetic fields up to 20 T at room and cryogenic temperatures. The change of these parameters were studied during the long-term storage of the films and accelerated ageing by annealing the films at O&lt;sub&gt;2&lt;/sub&gt; and Ar atmosphere.&lt;br/&gt;The La&lt;sub&gt;0.81&lt;/sub&gt;Sr&lt;sub&gt;0.19&lt;/sub&gt;Mn&lt;sub&gt;1.09&lt;/sub&gt;Co&lt;sub&gt;0.06&lt;/sub&gt;O&lt;sub&gt;3&lt;/sub&gt; films (LSMCO) with a thickness of 360 nm were deposited by using a Pulsed-Injection Metal-Organic Chemical Vapor Deposition (PI MOCVD ) technique onto a polycrystalline Al&lt;sub&gt;2&lt;/sub&gt;O&lt;sub&gt;3&lt;/sub&gt; substrate at 600 °C temperature keeping different growth rates (9 nm/min, 13 nm/min, and 27 nm/min). The Ag electrodes of the samples were thermally deposited on a Cr sublayer and post annealed at 450°C for 1 h. The &lt;i&gt;ρ &lt;/i&gt;dependence on temperature was measured in the temperature range of (5–310) K. The &lt;i&gt;MR&lt;/i&gt; measurements were performed in permanent (0-0.8) T magnetic field at (25–290) K and pulsed fields up to 20 T at (80–290) K temperatures. The &lt;i&gt;ρ&lt;/i&gt; and &lt;i&gt;MR&lt;/i&gt; of films deposited at different growth rates was investigated after such preparation steps: 1) formation of electrodes and post annealing at 450°C for 1 h in Ar or O&lt;sub&gt;2&lt;/sub&gt; atmosphere; 2) long-term storage at room temperature for 6 months; 3) accelerated ageing procedure: additional annealing at 100 °C for 8 h in Ar or O&lt;sub&gt;2&lt;/sub&gt;.&lt;br/&gt;It was found that electrode formation conditions and the long-term storage significantly changes the properties of the films (see Fig.1). After 6 months the resistivity maximum &lt;i&gt;ρ&lt;/i&gt;&lt;sub&gt;m&lt;/sub&gt; of all films significantly increased and the metal-insulator transition temperature &lt;i&gt;T&lt;/i&gt;&lt;sub&gt;m&lt;/sub&gt; shifted to lower temperatures. The annealing at 100 °C for 8 h in O&lt;sub&gt;2&lt;/sub&gt; decreased the &lt;i&gt;ρ&lt;/i&gt; due to oxygen saturation of the films. The resistivity of nanostructured films mostly depends on the quality of grain boundary material, therefore, the largest changes were obtained for LSMCO film grown at the highest rate (27 nm/min). The annealing in Ar only slightly affected the &lt;i&gt;ρ&lt;/i&gt; values. The low-field (0.7 T) &lt;i&gt;MR&lt;/i&gt; (Fig.2) changed insignificantly in all temperature range (25-290) K. This is probably related with the change of a number of charge carriers’ hopping centers Mn&lt;sup&gt;3+&lt;/sup&gt;-O&lt;sup&gt;2-&lt;/sup&gt;-Mn&lt;sup&gt;4+&lt;/sup&gt;, which depends on the oxygen saturation level. Therefore, despite the resistivity changes, the &lt;i&gt;MR&lt;/i&gt;=100%×[&lt;i&gt;ρ&lt;/i&gt;(B)/&lt;i&gt;ρ&lt;/i&gt;(0)-1] was only slightly affected. At 20 T the &lt;i&gt;MR&lt;/i&gt; also insignificantly depended on preparation conditions and was ~(65-70)% at 80 K and (55-60)% at 290 K.&lt;br/&gt;It was concluded, that for magnetic field sensors application the LSMCO films grown at lower rate (9 nm/min) and annealed at Ar atmosphere are preferable due more stable parameters.

**References:**

[1] D. Pla, C. Jimenez, M. Burriel, Advanced Materials Interfaces, Vol. 4, p. 1600974 (2017)&lt;br/&gt;[2] T. Stankevic, L. Medisauskas, V. Stankevic et al., Rev. Sci. Instrum., Vol. 85, p. 044704 (2014)&lt;br/&gt;[3] T. L. Haran, R. B. Hoffman, S. E. Lane, IEEE Trans. Plasma Sci., Vol. 41, p. 1526 (2013)&lt;br/&gt;[4] V. Stankevic, J. Lueg-Althoff, M. Hahn et al., Sensors, Vol. 20, p. 5925 (2020)&lt;br/&gt;[5] J. Hu, H. Qin, J. Chen et al., J. Appl. Phys., Vol. 91, p. 8912 (2002)&lt;br/&gt;[6] H. Zhao, X. G. Chen, J. Z. Wei et al., IEEE Trans. Magn., Vol. 51, p. 1200205 (2015)&lt;br/&gt;[7] M. Egilmez, M.M. Sabera, M. Abdelhadi et al., Phys. Lett. A, Vol. 375, p. 4049 (2011)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/1aa2b57e13215f46e6ebeb58279e63d0.jpg)
Fig.1. Resistivity &lt;i&gt;vs.&lt;/i&gt; temperature dependences of LSMCO films grown at different growth rates and annealed in O&lt;sub&gt;2&lt;/sub&gt; or Ar (inset) atmosphere. Solid curves – after formation of electrodes; dashed curves – after long-term storage at room temperature during 6 months; dotted curves – after annealing for 8 h at 100 °C.

![](https://assets.underline.io/uploads/markdown_image/1/image/98645855a0054417199d5c2cd57618ff.jpg)
Fig.2. Magnetoresistance &lt;i&gt;vs.&lt;/i&gt; temperature dependences of LSMCO films grown at different growth rates and annealed in O&lt;sub&gt;2&lt;/sub&gt; or Ar atmosphere. Symbols show &lt;i&gt;MR&lt;/i&gt; values measured at &lt;i&gt;B&lt;/i&gt;=0.7 T. The insets present &lt;i&gt;MR&lt;/i&gt;(&lt;i&gt;B&lt;/i&gt;) dependences: solid curves – after formation of electrodes; dashed curves – after annealing for 8 h at 100 °C.

INTERMAG 2021

 Influence of Preparation Conditions on Long-Term Stability of Magnetoresistive Properties of Nanostructured La-Sr-Mn-Co-O Films Grown by PI MOCVD

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It has been demonstrated that perovskite oxides with the general formula ABO3 (A - lanthanides, alkaline-earth metals, B - transition metal cations) exhibit the colossal magnetoresistance (CMR) phenomenon and can be used for various spintronics applications [1]. Many efforts were made in structural and chemical engineering of such materials in order to tune their functional properties along a wide range of temperatures and magnetic fields. It was found that epitaxial films exhibit high magnetoresistance (MR) values only in the vicinity of phase transition temperature, while polycrystalline films exhibit significant MR in a wide range of temperatures. Engineering of lanthanum manganites with special nanocrystalline (polycrystalline with nanosize grains) structure enabled to develop so-called CMR-B-scalar sensors, which are capable to measure the magnitude of pulsed magnetic fields in very small volumes independently on field direction [2]. Such sensors have been used in advanced scientific equipment to measure magnetic field dynamics [3-4]. It is worth to note, that in the past decades the most extensive research was performed on A-site doped manganites. This doping results in a mixed valance state of the manganese ions (Mn3+ and Mn4+) giving rise to the ferromagnetic (FM) double exchange (DE) interaction, which determines transport and magnetic properties of these materials. On the other hand, it was proposed that the B-site doping with 3d ions (Co, etc.) would destroy the long-range FM ordering of the Mn3+-O2--Mn4+ network resulting in a complex glassy state which arises from the competition of FM and antiferromagnetic (AFM) interactions. Therefore, significant change of the magnetic and electrical properties of manganites is expected. It was demonstrated, that substitution of Co for Mn in La1-xSrxMnO3 results in increased room temperature MR [5]. A variety of competing magnetic interactions in Co-doped manganites [6] still remains unclear, especially in nanostructured films, therefore, their investigations are of great interest. In addition, the long-term stability [7] of magnetoresistive properties of such films is very important for magnetic field sensors applications. In this study, the resistivity ρ and MR of nanostructured Co-doped manganite films deposited at different growth rate was investigated in magnetic fields up to 20 T at room and cryogenic temperatures. The change of these parameters were studied during the long-term storage of the films and accelerated ageing by annealing the films at O2 and Ar atmosphere. The La0.81Sr0.19Mn1.09Co0.06O3 films (LSMCO) with a thickness of 360 nm were deposited by using a Pulsed-Injection Metal-Organic Chemical Vapor Deposition (PI MOCVD ) technique onto a polycrystalline Al2O3 substrate at 600 °C temperature keeping different growth rates (9 nm/min, 13 nm/min, and 27 nm/min). The Ag electrodes of the samples were thermally deposited on a Cr sublayer and post annealed at 450°C for 1 h. The ρ dependence on temperature was measured in the temperature range of (5–310) K. The MR measurements were performed in permanent (0-0.8) T magnetic field at (25–290) K and pulsed fields up to 20 T at (80–290) K temperatures. The ρ and MR of films deposited at different growth rates was investigated after such preparation steps: 1) formation of electrodes and post annealing at 450°C for 1 h in Ar or O2 atmosphere; 2) long-term storage at room temperature for 6 months; 3) accelerated ageing procedure: additional annealing at 100 °C for 8 h in Ar or O2. It was found that electrode formation conditions and the long-term storage significantly changes the properties of the films (see Fig.1). After 6 months the resistivity maximum ρm of all films significantly increased and the metal-insulator transition temperature Tm shifted to lower temperatures. The annealing at 100 °C for 8 h in O2 decreased the ρ due to oxygen saturation of the films. The resistivity of nanostructured films mostly depends on the quality of grain boundary material, therefore, the largest changes were obtained for LSMCO film grown at the highest rate (27 nm/min). The annealing in Ar only slightly affected the ρ values. The low-field (0.7 T) MR (Fig.2) changed insignificantly in all temperature range (25-290) K. This is probably related with the change of a number of charge carriers’ hopping centers Mn3+-O2--Mn4+, which depends on the oxygen saturation level. Therefore, despite the resistivity changes, the MR=100%×[ρ(B)/ρ(0)-1] was only slightly affected. At 20 T the MR also insignificantly depended on preparation conditions and was ~(65-70)% at 80 K and (55-60)% at 290 K. It was concluded, that for magnetic field sensors application the LSMCO films grown at lower rate (9 nm/min) and annealed at Ar atmosphere are preferable due more stable parameters.

**References:**

[1] D. Pla, C. Jimenez, M. Burriel, Advanced Materials Interfaces, Vol. 4, p. 1600974 (2017) [2] T. Stankevic, L. Medisauskas, V. Stankevic et al., Rev. Sci. Instrum., Vol. 85, p. 044704 (2014) [3] T. L. Haran, R. B. Hoffman, S. E. Lane, IEEE Trans. Plasma Sci., Vol. 41, p. 1526 (2013) [4] V. Stankevic, J. Lueg-Althoff, M. Hahn et al., Sensors, Vol. 20, p. 5925 (2020) [5] J. Hu, H. Qin, J. Chen et al., J. Appl. Phys., Vol. 91, p. 8912 (2002) [6] H. Zhao, X. G. Chen, J. Z. Wei et al., IEEE Trans. Magn., Vol. 51, p. 1200205 (2015) [7] M. Egilmez, M.M. Sabera, M. Abdelhadi et al., Phys. Lett. A, Vol. 375, p. 4049 (2011)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/1aa2b57e13215f46e6ebeb58279e63d0.jpg)
Fig.1. Resistivity vs. temperature dependences of LSMCO films grown at different growth rates and annealed in O2 or Ar (inset) atmosphere. Solid curves – after formation of electrodes; dashed curves – after long-term storage at room temperature during 6 months; dotted curves – after annealing for 8 h at 100 °C.

![](https://assets.underline.io/uploads/markdown_image/1/image/98645855a0054417199d5c2cd57618ff.jpg)
Fig.2. Magnetoresistance vs. temperature dependences of LSMCO films grown at different growth rates and annealed in O2 or Ar atmosphere. Symbols show MR values measured at B=0.7 T. The insets present MR(B) dependences: solid curves – after formation of electrodes; dashed curves – after annealing for 8 h at 100 °C.

technical paper

Compact, ultra-low power magnetic field sensors are desirable for applications in multiple fields from biomedical engineering to military sensors [1,2,3]. Through direct coupling of magnetostrictive and piezoelectric strain, an on-chip sensor can be designed by exploiting the interface between thin films which can generate a charge when under an external magnetic field bias that depends not only on the magnitude of the measured field, but also the magnetic field direction enabling vector sensing capabilities. Magnetoelectric MEMS-scale heterostructures deposited in layers on silicon wafers and etched to create beams and cantilevers operating at the eletromechanical resonance were shown to work in a stress reconfigurable mode [4,5]. In this work we demonstrate magnetic field and directional response of FeC/AlN MEMS double-clamped heterostructure resonators. Through coupled strain engineering we are able to exploit the magnetic anisotropy and create a preferred axial response along the easy axis length of the suspended heterostructure beam. Resonant frequency response to the external magnetic field produces a sensitive measure of the angular dependence depending on the field vector components along the long and short axes. Figure 1a illustrates the heterostructure design of the double clamped ME MEMS structure and Figure 1b depicts a set of beams fabricated in a rosette pattern between Helmholtz coils used to apply a magnetic field to study the resonance response. The resonant peak shift with applied external magnetic field can be seen in Figure 2a where the butterfly loop has a linear slope df/dH near coercive field at 100G of 35 Hz/mT or 47 Hz/mT depending on the loop leg denoting the best bias response working point for this sensor. Polar plot of the resonance peak vs field at 15° increments can be seen in Figure 2b showing the directional response of the double clamped ME MEMS structures. Limit of detection measurements and further resonant peak angular dependence will be presented and deposition conditions will be discussed to illustrate the necessary conditions required to optimize creation of a high-quality MEMS sensor.

**References:**

[1] M. Hämäläinen, R. Hari, R.J. Ilmoniemi, and O. V. Lounasmaa, Reviews of Modern Physics 65, 413–497 (1993), DOI: 10.1103/RevModPhys.65.413 [2] J. W. Mooney, S. Ghasemi-Roudsari, E. Reade Banham, and B. T. H. Varcoe; Biomed. Phys. Eng. Express 3 (2017) 015008, DOI: 10.1088/2057-1976/3/1/015008 [3] T. R. Clem, Naval Engineers Journal 110, 139–149 (1998), DOI: 10.1111/j.1559-3584.1998.tb02393.x [4] S. P. Bennett, J. W. Baldwin, M. Staruch, and P. Finkel; Applied Physics Letters 111, 252903 (2017), DOI: 10.1063/1.5011728 [5] M. Staruch, et al.; Physical Review Applied 11, 034028 (2019); DOI:10.1103/PhysRevApplied.11.034028

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/50e45a3a8b51d1152352d15c4537b1ae.jpg)
Figure 1: (a) A top view and side view of magnetoelectric arched beam resonator, consisting of a layered film stack on a silicon wafer consisting of Si3N4 support, Pt back electrode with Ta adhesion layer, AlN piezoelectric layer, and Fe0.7Co0.3 top electrode and magnetostrictive layer. (b) Rosette pattern of beams fabricated on a silicon chip between Helmholtz coils, with rotation for angular dependence measurements.

![](https://assets.underline.io/uploads/markdown_image/1/image/d02c2d26681eeb936087c33b918db727.jpg)
Figure 2: (a) Frequency shift of resonance peak vs bias magnetic field applied parallel to long axis of the beam. (b) Polar plot of the magnetic field response at 15° intervals for 0, 200, 300, 500, and 1000 Gauss.

 Directional Magnetic Field Response of FeCo/AlN Heterostructure Magnetoelectric Resonators

Magnetoresistive field sensors have a wide range of uses, such as in biomedical applications, in the automotive industry, robotics, or smart city technologies. Figures of merit like sensitivity, detectivity and spatial resolution are used to evaluate the performance of such sensors [1]. At low frequencies, the 1/f noise component is dominant and is in fact responsible for hindering the device's detectivity, and, consequently, its performance. There is an active research effort to reduce this noise component and tackle this limitation [2]. Vortex-based devices, in which the free layer exhibits a vortex magnetization distribution in its equilibrium state, are promising magnetic field sensors due to their large linear detection range [3] and the fact that they show practically no hysteresis in this range. Besides, these devices are often considered as model systems for the study of magnetization dynamics. In this study, we focus on the analysis of the 1/f noise in a particular type of magnetic sensor based on a vortex magnetic configuration integrated in a magnetic tunnel junction (MTJ) spin torque nano-oscillator. These devices present excellent rf characteristics for future radio-frequency devices and applications, such as rf generation [4], detection [5] or neuromorphic computing [6]. While the use of vortex-based spin-torque nano-oscillators for applications such as these mentioned here has been largely studied, they are newcomers in the magnetic field sensing landscape. In this work, we analyse the 1/f low-frequency noise in vortex-based spin-torque nano-oscillators by determining the Hooge parameter in different conditions. The Hooge parameter is typically used to characterize and compare sensor’s noise properties. Firstly, we find that in the uniform states the Hooge parameter of the studied device is comparable to that measured in state-of-the-art TMR sensors with similar RA product, α = 10-11 - 10-10 µm2. In the vortex state, the measured noise level is around one order of magnitude greater than in the parallel (and antiparallel) state, see Fig. 1a. This is due to the increased probability of pinning of the vortex core into defects or inhomogeneities of the free layer. Secondly, we determine that the dynamics of the vortex core strongly influence the noise level of the device. For a current above a certain threshold, the spin transfer torque surpasses the intrinsic damping of the free layer resulting in self-sustained oscillations of the vortex core [7]. In the self-sustained oscillations' regime, the noise decreases to a level close to that of the antiparallel state, see Fig. 1b. Furthermore, we present a novel strategy for reducing the 1/f low-frequency magnetic noise, through the application of an in-plane rf field or injection of an rf current [8]. By using this approach while the device is operating in the self-sustained regime, we are capable of further decreasing the measured noise level to values close to the minimum attainable, see Fig. 2. We find that this noise reduction is non-resonant, see Fig. 2a. As such, we can have a vortex-based STNO with relevant noise properties, comparable to those of state-of-the-art TMR field sensors. At the same time, we profit from the specific advantages of vortex-based spin-torque nano-oscillators for sensing applications: large linear detection range, virtually no hysterisis and high spatial resolution. This noise reduction technique based on the spin-torque dynamics of the vortex can have an impact on the sensors' industry, which may profit from the advantages of the vortex configuration. The work is supported by the French ANR project “SPINNET” ANR-18-CE24-0012.

**References:**

[1] D. C. Leitão et al., Nanotechnology 27, 045501 (2015) [2] L. Huang et al., Journal of Applied Physics 122, 113903 (2017); J. Moulin et al., Appl. Phys. Lett. 115, 122406 (2019) [3] D. Suess et al., Nat. Electronics 1, pages 362–370 (2018) [4] S. Wittrock et al., Phys. Rev. B 99, 235135 (2019) [5] A. S. Jenkins et al., Nat. Nanotech. 11, 360 (2016); D. Marković et al., Phys. Rev. Applied 13, 044050 (2020) [6] M. Romera et al., Nature 563, 230–234 (2018); J. Torrejon et al., Nature 547, 428-431 (2017) [7] A. Dussaux et al., Nat. Comm. 1, 8 (2010) [8] M. Jotta Garcia et al., arXiv:2012.09616 [cond-mat.mes-hall] (2020)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/f1e2a4020c2f2daf24d07405919ec60f.jpg)
Fig.1 a) Hooge parameter as a function of an in-plane magnetic field that is swept from the parallel to the anti-parallel state and back. b) Evolution of the Hooge parameter with the applied bias current. The inset shows the oscillation power of the rf emission due to the emerging vortex dynamics. The red dotted line represents the Hooge parameter measured in the AP state.

![](https://assets.underline.io/uploads/markdown_image/1/image/8659329698821b38c65d8cb8989eb4a3.jpg)
Fig. 2 a) Hooge parameter as a function of the frequency of the applied oscillating field, with Prf = 1 mW. The red line indicates the value measured in the absence of this field. b) Hooge parameter as a function of the power amplitude of the rf field at a fixed frequency, f = fres = 243.1 MHz. The green dotted lines represent the Hooge parameter measured in the P state.

 Spin-torque Dynamics for Noise Reduction in Vortex-based Sensors

The final goal of our project is to develop a device that acts as a bypass for restoring neuronal signals in regions with spinal cord injuries1. To detect such signals, a magnetic field sensor can be employed, placed near the spinal cord. This in turn sets several constraints for the sensor itself. It must be of reduced size, operate at zero or very small external biasing field and achieve low detectivity at low frequency, while operating at body temperature (310K). The detectivity of a magnetic sensor is determined both by its sensitivity and its intrinsic noise. If the target signal is in the low frequency region, which is the case for biomedical applications, Anisotropic Magnetoresistance (AMR) sensors become competitive when compared to Tunnelling Magnetoresistance (TMR) and Giant Magnetoresistance (GMR) technologies, due to its low 1/f noise, even if they do not reach same sensitivity values. Additionally, AMR sensors can be of much simpler fabrication, not requiring the stacking of several thin films. We will present results obtained with AMR sensors made of 30 to 60 nm thick epitaxial La2/3Sr1/3MnO3 thin films, which present low intrinsic noise2, deposited on 4° , 6° or 8° vicinal SrTiO3 (STO) substrates and etched in a Wheatstone Bridge design. This design is also referenced in literature as Planar Hall Effect Bridge3 (PHEB). Pulsed Laser Deposition (PLD), photolithography and Ion Beam Etching (IBE) were used for in-lab samples fabrication. The use of a vicinal substrate, which presents a surface miscut angle regarding the crystallographic plane, was selected so as to induce uniaxial anisotropy and an easy magnetic axis along the step edges4. The measured AMR curves can be compared to the expected behaviour when considering the Stoner-Wohlfarth model for coherent magnetization reversal. This coherent magnetization reversal process was checked by Magneto-optical Kerr imaging (see figure 1). In order to achieve a higher sensitivity, thus lower detectivity, PLD deposition was performed at different temperatures, which leads to a change in thin film Curie temperature Tc and therefore affects the anisotropy field Ha. A clear reduction in Ha can be seen when changing the deposition temperature from 730° C to 680°C. The anisotropy field depends also on the angle of vicinality, the smaller the angle the smaller the anisotropy field. For vicinal angles ranging from 4° to 8°, the uniaxial anisotropy of the film is preserved. Changing the temperature deposition or the vicinality does not degrade the 1/f noise of the films. The so far achieved detectivity @ 310K is as low as 1nT/Hz1/2 at 1 Hz and 300 pT/Hz1/2 at 1 kHz in a single-layer sensor (see figure 2) without using performance enhancing techniques such as focusers.

**References:**

1 http://www.byaxon-project.eu/ FET Open 2017-2020 2 L Méchin et al, J. Phys. D: Appl. Phys.46, 202001 (2013), https://doi.org/10.1088/0022-3727/46/20/202001 3 A.D. Henriksen et al, Appl. Phys. Lett. 97, 013507 (2010), https://doi.org/10.1063/1.3460290 4 P Perna et al Adv. Funct. Mater., 27, 1700664 (2017), https://doi.org/10.1002/adfm.201700664

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/ea6a5b53513212ecfb41390187c4856c.jpg)
Figure 1: MOKE Imaging of the magnetization reversal process in the AMR Wheatstone bridge sensor and local magnetization loop

![](https://assets.underline.io/uploads/markdown_image/1/image/c7f186f0d7d8cfc247aaaec8b6576132.jpg)
Figure2: Detectivity spectrum at 310K as a function of the polarization of the AMR Wheatstone bridge

 Sub-nT resolution of single layer sensors based on the AMR effect in single layer La2/3Sr1/3MnO3 thin films

Some of the early parallel fluxgate sensors had cores made of magnetic wires and this design is still used in many devices, including gradiometers and low-cost sensor arrays in magnetoelastic torque meters [1]. Wire and also multiwire cores are also being used in transverse fluxgates [2]. Despite their larger noise and lower temperature stability compared to ring-core fluxgates, wire-core parallel fluxgates have several advantages [3]: 1. their sensing direction is precisely defined by the direction of the sensor core 2. they have excellent spatial selectivity which is important for the detection of magnetic particles [4] 3. High sensitivity allows decreasing the core length 4. The large shape anisotropy gives them low crossfield error [5]. The sensitivity of ring-core and race-track fluxgate sensors is well understood and described in the literature [6,7], while such study on wire-cored sensors is missing. We offer it in this paper for the case of voltage output. We calculate the sensitivity as a function of core and pickup coil geometry and configuration of wire core by Finite-element modeling and compare these results with the measurements. We analyze both existing configurations (single-core, Foerster and Vacquier) and propose multiwire fluxgates of two types: with collective excitation and pickup coils and with individual pickup coils. This paper is based on model cores made of 36 mm long, 0.2 mm diameter Permalloy wires with chemical composition Ni78Fe15Cu4Mo3. The wires were annealed for 3 hours in a dry hydrogen atmosphere at 1080 °C to obtain near-zero magnetostriction. Our simulation models were based on constant permeability and also on the magnetization curve estimated from the measurement on the wire. Sensitivity and noise properties were measured for sensors containing 2 to 12 wires with different distances between the wires. The model can be upscaled for magnetic rods and downscaled for bundles of microwires and arrays of nanowires. However, the results strongly depend on the aspect ratio of the used wires. Fig. 1 shows examples of the measured fluxgates. The multiwire type has a 3D printed honeycomb bobbin which allows insertion of different configurations of wires in glass or ceramic capillaries. For each configuration, we found the optimum working point (excitation frequency and amplitude) to maximize the sensitivity and minimize the noise. In order to simplify the problem, we did not use the parametric amplification of the output voltage. We studied the effect of pickup coil geometry by FEM modeling and verified the results experimentally: the optimum coil length is 80 % of the core length and the coil diameter should be minimized as the sensitivity is inversely proportional to the pickup coil diameter as shown in Fig.2. In this regard’s fluxgate behaves differently from induction sensors without excitation, which shows the increase of sensitivity with the pickup coil diameter. This dependence does not change with the wire permeability. This decrease of the sensitivity is the reason, why multiwire fluxgate with large common pickup coil has larger noise (0.7 to 14 nT/√Hz at 1 Hz, depending on configuration) than single-core (180 pT/√Hz@1Hz) and Vacquier type (51 pT/√Hz@1Hz) sensors. The effective solution to this problem is to use an individual pickup coil for each wire instead of a collective coil common for all wires. The sensitivity of the multiwire fluxgate is increasing with the wire pitch and the noise is inversely proportional to the wire pitch. This is caused by two factors: 1. With increasing wire distance their magnetostatic interaction is decreasing, which results in lower demagnetization 2. With increasing distance the noise correlation between wires is decreasing and the total noise is reduced by the averaging effect, which is stronger for independent noise sources This study was limited to the initial selection of optimum geometry of the wire core and pickup coil of the voltage-output parallel fluxgate. Further increase of sensitivity and noise reduction can be achieved by tuning the pickup coil by the parallel capacitor to the mode of parametric amplification at second harmonics. This study was supported by the Grant Agency of the Czech Republic within the Nanofluxgate project (GACR GA20-27150S).

**References:**

[1] P. Ripka, Magnetic sensors and magnetometers, Artech House, 2001 [2] M. Butta, M. Vazquez, R. P. del Real et al., AIP Advances Vol. 10, (2020) [3] M. Janosek, "Parallel fluxgate magnetometers," in High Sensitivity magnetometers, Springer, 2017 [4] J. Lei, T. Wang, C. Lei et al. Applied Phys. Lett. Vol. 102, 022413 (2013) [5] P.Ripka, W. Billingsley, Sens. Act. A Vol. 81, p. 176-179 (2000) [6] C. Hinnrichs, J. Stahl, K. Kuchenbrandt et al., IEEE Trans. Magn. Vol. 37, p. 1983 (2001) [7] L. Perez, I. Lucas, C. Aroca et al., Sens. Act. A Vol. 130, p. 142 (2006)

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/197886eeec5ca839cbd0ec0c6da03e29.jpg)
Figure 1 Experimental fluxgate sensors: a) single core, b) Vacquier, c) multiwire

![](https://assets.underline.io/uploads/markdown_image/1/image/b8f674df538b8b10c95c207e3fa16986.jpg)
Figure 2 Relative flux of the 36 mm long pickup coil with diameter D as a function of its relative diameter D/d – values calculated by 2D FEM for 36 mm long, d = 0.2 mm diameter magnetic wire core

 Sensitivity and Noise of Multiwire Parallel Fluxgate Sensors

In the context of miniaturization, energy conservation, smart devices and IOT, magnetic field sensors based on magnetic tunnel junctions (MTJ) constitute an attractive choice, with small size, very high intrinsic sensitivity and low power consumption. The specific sensor response curve is determined by the magnetization configuration and hysteresis loop behavior of the soft (sensing) layer of the MTJ. A possible implementation is the vortex-based sensor, in which the junction sensing layer magnetization is in a vortex configuration at zero field, consisting of a small central core with out-of-plane magnetization and an in-plane magnetization rotating around the core with a specific chirality (clockwise or counterclockwise). Depending on the geometry, the vortex can be the natural stable micromagnetic configuration of the sensor, with the lowest energy at remanent state. This is the case for circular dots of soft ferromagnetic materials with sufficient thickness [1]. Circular vortex-state sensors typically exhibit much lower sensitivity compared to uniform-magnetization sensors, but are naturally linear and exhibit low hysteresis in a limited field range [2]. Here we use micro-magnetic simulations to study the effect of geometrical asymmetry [3] on the vortex properties, in particular on the vortex nucleation, chirality and magnetization cycle. We explore different modifications of the magnetic dot shape that ensure the control of the vortex chirality. We specifically study magnetic disk or ellipse with a cut on one side of different size and shape. Then we determine the geometrical parameters (in particular the position and size of the cut) that also allow a large nucleation field, thus leading to a quasi-linear response on a large field range. However, due to the asymmetric shape, the control of the vortex chirality is obtained at the cost of a small hysteresis: in general, the magnetization is not exactly zero at remanence. In order to reduce this hysteresis, we study magnetization at remanence for different dots with cut by varying the geometrical parameters and show that certain combination of parameters give zero magnetization at remanence. An analytical model also describes this result, obtained by micromagnetic simulations. Finally, another route to reduce hysteresis is to take advantage of magnetostatic interaction between magnetic dots within a 2D array [4]. The stray field of neighboring dots influences the vortex core position and may thus reduce the magnetization at remanence. This effect is explored for pairs of asymmetric dots at different distance and position. Our results show various means to reduce and even cancel the hysteresis.

**References:**

[1] R. Cowburn, D. Koltsov and D. Tricker, Physical Review Letters, Vol. 83, p.1042 (1999) [2] D. Suess, A. Bachleitner-Hofmann and H. Brückl, Nature Electronics, Vol. 1, p. 362 (2018) [3] S. Agramunt-Puig, N. Del-Valle, and A. Sanchez, Applied Physics Letters, Vol. 104, p. 012407 (2014) [4] O. Sukhostavets, J. Gonzalez and K. Guslienko, Physical Review B, Vol. 87, p. 094402 (2013)

**Images:**

 Control of Chirality and Hysteresis in Asymmetric Vortex-based TMR sensors

Magnetic viscosity, the long time-scale magnetization drift in response to changes in applied field, can directly impact the accuracy of high sensitivity tunneling magnetoresistance (TMR) based field sensors operating with large dynamic field ranges or utilizing long time scales. Recent studies have demonstrated benefits arising from an understanding of magnetic viscosity in the context of field sensing; for instance, as a source of spurious signals from buried ferrite during landmine detection by induction sensors [1], as a tool providing insight into magnetization dynamics [2-5], and even as a novel immunoassay characterization technique for biochemical detection through so-called magnetorelaxometry [6,7]. Although the mechanism of magnetic viscosity has been well described [8,9], quantifying the impacts of the effect in sensor applications and establishing relationships between those impacts and tunable material properties has remained under explored. Therefore, in this work we characterize the magnetic viscosity in a variety of commercial and custom magnetic tunnel junction (MTJ) based sensors, as well as explore the potential impacts of integration with flux concentrator shielding. Utilizing accessible electrical measurements of the TMR or sensor output, a wide range of viscosity behavior is revealed. The results in commercial sensors demonstrate order-of-magnitude differences ranging from 0.2 – 2 μT in the effective sensor output field viscosities, with accuracy implications due to the hysteric nature of the viscous drift in the sensor output. To elucidate underlying differences in the selected commercial sensors, we fabricate and compare custom MTJs with variable free layer thicknesses tFL as well as patterned devices utilizing a variety of flux concentration shielding (with up to 30x flux concentration factors). Fig. 1(a) presents an illustrative case of the magnetoresistance vs applied field for one of the custom MTJs where tFL = 4 nm for a biased sensing layer. For each measurement, the device is first initialized in a saturating field μ0H0 of approximately 30 mT. The field is then abruptly reduced to the measurement field μ0Ha, ranging from -25 to 25 mT. The time-dependent rate of change of the MTJ’s resistance for such a measurement with the specified value of Ha is shown in Fig. 1(b), illustrating that the observed drift of the device resistance is logarithmic in time and strongly field dependent as expected. These measurements are then used to extract the magnetoresistance’s viscosity parameter. The patterned MTJs studied show a 3x increase in sensitivity between tFL = 4 to 20 nm but a corresponding 43% decrease in the magnetic viscosity parameter [Fig. 2(a-b)]. Relationships between the viscosity, magnetic active volumes, and anisotropy will be discussed. These results highlight simple design pathways useful to consider when attempting to enhance or mitigate viscous output effects in high sensitivity MTJs. In addition, the viscosity parameter in certain fabricated MTJs is found to exhibit a strong asymmetric field dependence that is not observed in the sensitivity [Fig. 2(a-b)], highlighting complexities of the reversal mechanism, as well as the deeper insight into magnetization dynamics gained from viscosity characterization.

**References:**

[1] Y. Das, IEEE Trans. Geosci. Remote Sens. 44, 1444 (2006). [2] B. Dolgin et al., J. Phys. Condens. Matter 25, 076004 (2013). [3] A. Lisfi et al., AIP Adv. 8, 056438 (2018). [4] S.J. Collocott and V. Neu, J. Phys. D. Appl. Phys. 45, 035002 (2012). [5] C. Leighton and I.K. Schuller, Phys. Rev. B 63, 174419 (2001). [6] F. Wiekhorst, U. Steinhoff, D. Eberbeck, and L. Trahms, Pharm. Res. 29, 1189 (2012). [7] C.C. Huang, X. Zhou, and D.A. Hall, Sci. Rep. 7, 1 (2017). [8] R. Street and J.C. Woolley, Proc. Phys. Soc. Sect. A 62, 562 (1949). [9] E.P. Wohlfarth, J. Phys. F Met. Phys. 14, L155 (1984).

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/1ea0569f5040dd3d929ea0dce090e75e.jpg)
Fig. 1. (a) Resistance vs applied field for patterned MTJ bit strings with free layer thickness tFL= 4 nm. (b) Viscosity measurement of the change in resistance ΔR (relative to measured resistance at time t = 90 sec) for specified μ0Ha between 25 and 0 mT. Saturating initial field μ0H0 = 27 mT.

![](https://assets.underline.io/uploads/markdown_image/1/image/67998c22b032e35251be5070029002e6.jpg)
Fig. 2. Sensitivity (black) and magnetoresistance viscosity parameter SMR (red) as a function of applied field for MTJs with free layer thickness of either (a) 4 nm, or (b) 20 nm. The initial saturating field μ0H0 = 27 or 15 mT as specified. SMR is shown in parts per million, normalized to the resistance at zero-field.

 Magnetic Viscosity in High Precision Magnetoresistive Field Sensors

Tunnel magnetoresistance (TMR) magnetic sensors using CoFeB/MgO/CoFeB magnetic tunnel junction (MTJ) are promising for detection of magnetic field with various magnitude and frequency. The soft-magnetic property of the free layer (sensing layer) influences the sensing performance, which is particularly important for detection of small magnetic field such as biomagnetic field. NiFe (permalloy) is frequently used as a soft-magnetic sensing layer of TMR sensors. However, the large film roughness and the fcc 111-texture of the NiFe polycrystalline film tend to lower the TMR ratio. Amorphous ferromagnets such as CoFeSiB [1] have been developed as alternative materials for the sensing layer of TMR sensors. However, the soft-magnetic nature of CoFeSiB is prone to be degraded due to crystallization by annealing at &gt; 300 °C [2], which is the typical annealing temperature for TMR sensors. In this work, we demonstrate an amorphous CoFeBTa material, whose crystallization temperature is ~500 °C [3], to the TMR sensing layer and investigated the magnetic, magnetoresistive and low-frequency noise properties. A top-pinned spin-valve structure of bottom lead / Ta(5) / CoFeBTa(20) / Ta(0.3) / CoFeB(3) / MgO(1.8) / CoFeB(2.5) / CoFeBTa(0.6) / CoFe(0.5) / Ru(0.8) / CoFe(3) / IrMn(8) / Ru(8) capping layer (nm in unit) was sputter-deposited [4]. The spin-valve film was annealed twice (two-step annealing) under magnetic fields in two directions that were orthogonal each other. The first annealing at 350 °C induces a uniaxial magnetic anisotropy in the CoFeBTa/Ta/CoFeB free layer in e.g. y-direction and the second annealing at 200 °C defines the pinning direction in the orthogonal direction (x-direction). The pattered TMR devices by photolithography were characterized by dc 4-probe method. Figure 1(a) shows the resistance (R)-magnetic field in x-direction (Hx) curve of a single TMR device (MTJ diameter: 50 μm). The TMR ratio was 160% and the resistance-area product was 40 kΩ μm2. A linear R-H transfer curve with a small hysteresis was realized in the intermediate magnetization state after the two-step annealing process. The maximum sensitivity (1/Rmin dR/dH) of ~70 %/mT was obtained at Hx = 1 mT. Figure 1(b) shows the noise voltage density (√SV) spectra of the TMR device at various magnetization states. For the noise measurements, bias voltage (Vb) was supplied using a 1.5 V dry cell battery and a ballast resistor. The magnitude of the noise at the intermediate magnetization state (Hx = 1 mT) was larger than those of the parallel and anti-parallel magnetization states, indicating that the 1/f noise is dominated by some distinct magnetic origins. The noise voltage density increased with increasing Vb, and the Hooge’s noise parameter αH was determined to be ~ 4×10-8 μm2 at Hx = 1 mT. The minimum detectivity (field-equivalent noise) defined by √SV/(1/Rmin dR/dH Vb) was 2.2 nT/√Hz at 10 Hz at Hx = 1 mT. For comparison, we fabricated a similar TMR sensor device with a NiFe(20 nm) soft-magnetic layer instead of CoFeBTa. The NiFe sensor showed larger detectivity of 4.5 nT/√Hz at 10 Hz than that of the CoFeBTa sensor mainly due to its larger 1/f noise. Thus, the CoFeBTa amorphous soft-magnetic layer has a clear advantage over the NiFe one for magnetic sensor applications. We also fabricated a full-bridge magnetic sensor using the CoFeBTa-based TMR devices. Each leg of the full-bridge is composed of 50 TMR devices connected in series as shown in Fig. 2(a). Figure 2(b) shows the output voltage (Vout) vs. H curve under various Vb. The non-linearity and hysteresis in the Vout-H curve can be attributed to variation of the R-H curve shape of the individual TMR devices of the array, which should be improved in the future. The bridge sensor showed an improved detectivity of 0.5 nT/√Hz at 10 Hz independent of Vb.

**References:**

[1] Kato, Oogane, Fujiwara et al., Appl. Phys. Express Vol. 6, p. 103004 (2014). [2] Jimbo, Fujiwara and Shimizu, J. Appl. Phys. Vol. 117 p. 17A313 (2015). [3] Choi, Nakatani, Read et al., Appl. Phys. Express Vol. 10 p. 013006 (2017). [4] Rasly, Nakatani, Li et al. J. Phys. D: Appl. Phys. Vol. 54, p. 095002 (2021).

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/534585ecb598bac58972238c575642c6.jpg)
Fig. 1(a) R-H curve and (b) noise spectra of the TMR sensor.

![](https://assets.underline.io/uploads/markdown_image/1/image/c7e8832260ba352e8b04a54949d46447.jpg)
Fig. 2(a) Schematic of full-bridge sensor and (b) output voltage vs. magnetic field.

 Tunnel magnetoresistance sensors with CoFeBTa amorphous soft-magnetic sensing layer

The GSR sensor is a highly sensitive magnetic sensor that utilizes GHz pulses and amorphous wire1) . The detection principle is that a GHz pulse is applied to an amorphous wire, and makes the rotation of the spins near the surface and the resulting magnetization rotation are detected by the detection coil. In order to achieve higher performance, it is necessary to solve the problem of the induced EMFs in Zero Magnetic field and non-linearity due to the residual twisting stress in the wire. In this study, we report the results that those problems have been solved by using an opposing-current type element. The opposing-current type element has the feature that the current is passed from the center of the element to both ends, and the electromotive force detected by the two identical coils placed on the left and right sides is added and output. Fig.1 shows that when the direction of the current is reversed in the single coil type element, the electromotive force generated by the pulse current energization becomes positive and negative, and is canceled when added. Based on the result, we experimented with the counter-current type element and confirmed that in the case of falling detection, the induced electromotive force in the case of magnetic field H=０A/m almost disappears and only the electromotive force dependent on the magnetic field is generated. This result means that the coil voltage signal can be amplified significantly to give the improved detection power. Furthermore, as shown in Fig. 2, the output was found to be subject to the positive and negative magnetic fields, resulting in a clean sinusoidal function. This means that the linearity of the output can be greatly improved. The development of the counter-current device is expected to improve the sensitivity and linearity of GSR sensors.

**References:**

１）Y.Honkura, S.Honkura;JMMM,513(2020)167240

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/3dbcb965a6f87a2818b4b1005476f55b.jpg)
Fig. 1 Effect of current direction on induced electromotive force in zero magnetic field

![](https://assets.underline.io/uploads/markdown_image/1/image/9d5c027899da6ddc74563eda6b74c3b0.jpg)
Fig. 2 Sinusoidal output characteristics of the opposing current type GSR element

 Development of Opposing Current Type GSR Sensor Element to Reduce Induced EMFs in Zero Magnetic Field

Introduction Magnetoresistive (MR) sensors increase explosively and are used widely in many fields due to its small weight, low power consumption, and high sensitivity, whereas the 1/f noise is larger in the low-frequency region and degrades the low-frequency magnetic field detection limit [1]. To reduce the impact of 1/f noise, MEMS-based magnetic flux concentrators (MFCs) are utilized to modulate the low-frequency field to a high-frequency region where the 1/f noise vanishes and improve the detection limit. MEMS-based MFCs consist of MEMS resonators vibrating with a high frequency and the high relative permeability magnetic film deposited on the surface of MEMS resonators, the combinations of them have been already tested and reported for high-frequency magnetic field modulation, resonance frequency detection, and 1/f noise of MR sensor cancellation [2-5]. When the MR sensor is integrated with MEMS-based MFCs and modulating the low-frequency magnetic field to the high-frequency region, the larger the modulation efficiency, the lower the detection limit. However, the modulation efficiency of existing modulation ways is not high, and the low-frequency magnetic field detection limit is low. To improve the low-frequency detection limit of the MR sensor, a new modulation way called synchronous motion modulation (SMM) is proposed. Theory of SMM SMM is evolved from gap-change modulation (GCM) [2]and vertical motion modulation (VMM) [3] with the highest modulation efficiency in the existing literature, as shown in Fig. 1. For GCM, the magnetic film deposited on the bottom of the piezoelectric cantilever resonator is static, and the MFCs deposited on the comb-driven resonator vibrate horizontally. But for VMM, the MFCs are static, and the magnetic film deposited on the bottom of the piezoelectric cantilever vibrates vertically. When the MFCs vibrate horizontally and the piezoelectric cantilever vibrates vertically, this is SMM, which modulates the magnetic flux in the position of the MR sensor to the high-frequency region. In this case, the direct current (DC) magnetic field will be modulated to an alternating current (AC) field and be measured by the MR sensor and bridge circuit. To compare the modulation efficiency of these three modulation ways, the vibration amplitude of comb-driven resonator is the same in SMM and GCM, the vibration amplitude of piezoelectric cantilever resonator is the same in SMM and VMM. The theoretical analyses show that the modulation efficiency of VMM increases with increasing amplitude and decreasing the initial height of magnetic film, but the modulation efficiency of GCM increases with increasing amplitude and decreasing the initial gap of MFCs. Additionally, the modulation efficiency of SMM is the sum of the modulation efficiency of VMM and GCM when two resonators have the same frequency and their phase difference is 180 degree. Validation and results To demonstrate the theoretical analysis above, the finite element method (FEM) simulation is done. Assuming that the magnetic film and MFC with the same frequency of 10 kHz, the same amplitude of 10 um , and the phase difference of 180 degree, the results are shown in Fig. 2 (a). It is found that the DC magnetic field, 1 uT , is modulated into a high-frequency magnetic field, and the modulated magnetic field waveform is a slightly distorted high-frequency sine wave. The reason is that the modulated magnetic field has many harmonic components, but the amplitude of the first-order component and DC component is much larger than other components. The peak-peak amplitude of the modulated magnetic field of SMM is larger than that of GCM and VMM, the modulation efficiency of VMM, GCM, and SMM is 38.55%, 66.82%, and 100.31%, respectively, and the modulation efficiency of SMM is nearly equal to the sum of modulation efficiency of VMM and GCM. Additionally, the situations when the MEMS resonators vibrate from 1 um to 10 um with the step of 1 um are investigated, as shown in Fig. 2 (b). The results show that the modulation efficiency increases linearly with increasing the amplitude, and the SMM has the maximum modulation efficiency among three modulation ways. What's more, the theoretical values are coincident well with the simulated results, which demonstrates the utility of the theory. Conclusion Therefore, we can conclude that SMM can significantly improve the modulation efficiency of the MEMS-based MR sensor and improve the low-frequency magnetic field detection limit, and the amplitude of MEMS resonator as large as possible is desired. Of course, fabricating two MEMS resonators as like in this paper and synchronizing them are not easy, the current feasible method is to use MEMS bonding technology and an interface circuit based on a phase-locked loop.

**References:**

 [1] Z. Q. Lei, G. J. Li, W. F. Egelhoff, P. T. Lai, and P. W. T. Pong, "Review of Noise Sources in Magnetic Tunnel Junction Sensors," IEEE Transactions on Magnetics, vol. 47, no. 3, pp. 602-612, 2011. [2] A. S. Edelstein, G. A. Fischer, M. Pedersen, E. R. Nowak, S. F. Cheng, and C. A. Nordman, "Progress toward a thousandfold reduction in 1f noise in magnetic sensors using an ac microelectromechanical system flux concentrator (invited)," Journal of Applied Physics, vol. 99, no. 8, p. 08B317, 2006. [3] J. Hu, M. Pan, W. Tian, D. Chen, and J. Zhao, "Magnetostatic detection using magnetoresistive sensors with vertical motion flux modulation," Rev Sci Instrum, vol. 83, no. 5, p. 055009, May 2012. [4] A. Guedes, R. Macedo, G. Jaramillo, S. Cardoso, P. P. Freitas, and D. A. Horsley, "Hybrid GMR Sensor Detecting 950 pT/sqrt(Hz) at 1 Hz and Room Temperature," Sensors (Basel), vol. 18, no. 3, Mar 6 2018. [5] Q. Du et al., "High Efficiency Magnetic Flux Modulation Structure for Magnetoresistance Sensor," IEEE Electron Device Letters, vol. 40, no. 11, pp. 1824-1827, 2019.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/b307e2cbf9f889d1c9d804229f7a036c.jpg)
Fig.1 synchronous motion modulation (SMM). (a) The simplified schematic of SMM. The brown part is Tower-shaped MFC deposited on the surface of comb-driven resonator. The blue part is the magnetic film deposited on the bottom of the end of the piezoelectric cantilever resonator. The yellow part is the MR sensor that is used to sense the AC magnetic field; (b) fabricated comb-driven resonator; (c) fabricated piezoelectric cantilever resonator.

![](https://assets.underline.io/uploads/markdown_image/1/image/9ca4ba3cdc07e2b98c96e6fef86ac2a4.jpg)
Fig. 2 The comparison of three modulation ways. (a) The time-domain curves of the modulated magnetic field in two periods; (b) the theoretical and simulated modulation efficiency of three modulation ways versus vibration amplitude of two resonators. 'T' and 'S' represent the theoretical results and simulated results.

 Magnetic Flux Synchronous Motion Modulation for Improving the Low-frequency Magnetic Field Detection Limit of Magnetoresistive Sensor using MEMS Resonators

Monitoring the occurrence of defects in steel structures of crucial applications such as pipelines, aircraft, bridges, etc. is necessary to prevent any fatal accidents from happening in the future. Particularly for cracks, their early detection can be difficult to be achieved as their progression may start at micrometer in size [1]–[3]. To enable detection of these micrometer-sized defects occurred in high permeability materials such as mild steel components, it is important to increase the eddy current signal against the magnetization signal of the material so that the eddy current variation due to the defects will not completely be buried within the strong magnetization signal [2], [4]. Here, the detection area plays an important role where a small detection area will result in a higher ratio of the eddy current signal to the magnetization signal. Compared to the conventional sensing technique using detection coils, in this work, we utilized miniature fluxgates to sense the variation of the eddy current at a high degree of locality while benefiting from their high sensitivity at a low-frequency region for sub-surface defect detection. It also can be expected that the sensitivity of the fluxgates will enable the evaluation of sub-surface defects in a high magnetic permeability material such as mild steels, owing to the increase of the eddy current’s penetration depth at the low-frequency region. By using miniature fluxgates (DRV 425, Texas Instruments), we configured the fluxgates and their circuits on a custom-made printed circuit board as shown in Fig. 1 (a). Furthermore, to increase the eddy current intensity within a small area, the generated excitation field was concentrated by using small unshielded ferrite inductors. The inductors were arranged uniformly in two layers so that the eddy current induced between the two layers will flow in the same direction as the layers. Each of the inductors had an inductance of 10 mH and a DC resistance of 30.5 Ohm. Moreover, the fluxgates were also arrayed in 2 layers and fixed equidistantly between the layers of the inductors. This arrangement was expected to enable the construction of the eddy current components in x- and y- directions by taking the differential of the z-component field Bz in y- and x- directions, respectively [1]. This probe is also intended for a mobile application, i.e., low current consumption, where a 20-mA AC current source was used to drive the inductors. We first evaluate the magnetic noise characteristic of the fluxgate where it was measured in a tri-layer magnetic shield. The sensor showed a magnetic noise lower than 10 nT/sqrt(Hz) from 3 Hz until 1 kHz. The fluxgate exhibited a sensitivity of 5V/mT when it was shunted with a 200-Ohm resistor and operated within a region from -0.5 mT to 0.5 mT. Using the developed probe, we measured the magnetic responses Bz induced from 5 artificial slits, whose depth ranges from 2 to 10 mm. The artificial slits were engraved on a mild-steel plate with a thickness of 12 mm, as shown by the schematic drawing of the steel plates in Fig. 2 (a). All of the slits had the same width and length, which were 1 mm and 30 mm, and they were arranged in a parallel direction, separated by a 30-mm distance. The magnetic response Bz of the slits was evaluated by mapping the Bz distribution over the slit area, and it was measured on the top surface with a 1-mm lift-off. A set of frequencies was selected for the excitation field, which is from 10 Hz to 310 Hz, in order to investigate the effect of skin depth penetration. The signal from the sensor was sampled by a data acquisition card (NI-USB 6210) at a 20-kHz sampling frequency and processed using a digital lock-in technique, implemented in Labview. In order to determine a suitable reference signal of the lock-in technique, we implemented a dynamic referencing technique where one of the sensor outputs of the fluxgates was used as the reference signal [4]. Using this referencing technique, we were able to separate the strong magnetization signal from the detected signal, in which the separated signal is mostly dominated by the phase information of the induced signal, i.e., the eddy current signal. The result for the eddy current distribution at the 30-Hz excitation frequency is shown in Fig. 2 (b). The positions of the slits were located at y = 29 mm (10-mm slit), 59 mm (8-mm slit), 89 mm (6-mm slit), 119 mm (4-mm slit), and 149 mm (2-mm slit), respectively. The signal change due to the existence of the slits could be clearly observed from the constructed eddy current distribution. It could be observed that the eddy current was reduced at the location of the slits where the reduction intensity was proportional to the slit depth. The developed probe shows a promising characteristic in assessing steel defects at a high detection sensitivity. Acknowledgments This work was supported by the Ministry of Higher Education of Malaysia under the grant number of FRGS/1/2019/TK04/UMP/02/4 (RDU1901154) and the Research Management Center of Universiti Malaysia Pahang under the grant number of RDU1903100.

**References:**

[1] M. M. Saari et al., “Design of Eddy Current Testing Probe for Surface Defect Evaluation,” Int. J. Automot. Mech. Eng., vol. 16, no. 1, pp. 6357–6367, 2019, doi: https://doi.org/10.15282/ijame.16.1.2019.19.0481. [2] K. Tsukada, M. Hayashi, Y. Nakamura, K. Sakai, and T. Kiwa, “Small Eddy Current Testing Sensor Probe Using a Tunneling Magnetoresistance Sensor to Detect Cracks in Steel Structures,” IEEE Trans. Magn., vol. 54, no. 11, pp. 1–5, 2018, doi: 10.1109/TMAG.2018.2845864. [3] P. A. Petcher and S. Dixon, “Weld defect detection using PPM EMAT generated shear horizontal ultrasound,” NDT E Int., vol. 74, pp. 58–65, 2015, doi: 10.1016/j.ndteint.2015.05.005. [4] M. A. Hadi Putera Zaini, M. Mawardi Saari, N. A. Nadzri, A. Mohd Halil, and K. Tsukada, “An MFL Probe using Shiftable Magnetization Angle for Front and Back Side Crack Evaluation,” Proc. - 2019 IEEE 15th Int. Colloq. Signal Process. its Appl. CSPA 2019, no. March, pp. 157–161, 2019, doi: 10.1109/CSPA.2019.8696064.

**Images:**

![](https://assets.underline.io/uploads/markdown_image/1/image/7bc98d523964dffa884faceb271567a5.jpg)
Fig. 1. a) Arrangement of inductors and miniature fluxgate DRV425. b) Magnetic noise characteristic of the miniature fluxgate.

![](https://assets.underline.io/uploads/markdown_image/1/image/23a65720a32602330616987a883eeff5.jpg)
Fig. 2. a) 5 artificial slits with different depths from 2 mm to 10 mm on a 12-mm mild steel plate. b) Distribution of the eddy current component in the x-direction detected by the proposed probe using a 30-Hz and 20-mA excitation current.

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