Regulation mechanism of giant magneto-impedance effect of multi-field coupling Fe-based alloy

Zhang Jian-Qiang; Qin Yan-Jun; Fang Zheng; Fan Xiao-Zhen; Ma Yun; Li Wen-Zhong; Yang Hui-Ya; Kuang Fu-Li; Zhai Yao; Shi Ying-Long; Dang Wen-Qiang; Ye Hui-Qun; Fang Yun-Zhang

doi:10.7498/aps.71.20221376

Abstract

Fe-based amorphous and nanocrystalline alloys are considered as the preferred dual-green energy-saving materials due to their unique magnetic properties, such as high permeability, low coercivity, and near-zero saturation magnetostriction. As such, they have received extensive attention in applications like magnetic core material for high-frequency transformers, common model chokes, ground fault interrupters, and rotors in motors, over the past decades. In this work, Fe_64.8Co_7.2Nb₄Si_4.8B_19.2 (in atom percent) amorphous alloy ribbons are prepared by using the single roller quenching method, then subsequently subjected to multi-field coupling heating treatment in the air which includes heating by Joule heating effect and tensile stress field. Furthermore, the longitudinally driven giant magneto-impedance effect and magnetic domain structures of ribbons are observed by using 4294A impedance analyzer and magnetic force microscopy, respectively. The magneto-crystalline anisotropy field and stress anisotropy field of ribbons are analyzed by using X-ray diffraction, random anisotropy model, and numerical fitting. Meanwhile, the concept of magnetic anisotropy competing factor (k) is proposed, from the viewpoint of magnetic anisotropy, a mechanism for regulating giant magneto-impedance effect of ribbons prepared with multi-field coupling is studied. It is found that the longitudinally driven giant magneto-impedance effect gradually transforms from the single peak to dome-like with tensile stress increasing. However, a spike and dome-like giant magneto-impedance effect appears during such transformation, which is composed of two parts: spike-like top and dome-like base. Based on the magnetic domain structure of ribbons, it is found that the typical stress-annealed transversal magnetic domain structure is observed in ribbons of $k \leqslant 0.147$, while nucleation and splitting phenomenon of new domains are observed at the transversal magnetic domain wall in ribbons of k > 0.147. Both longitudinally driven giant magneto-impedance effect and domain structures provide evidence to support the competing inhibition effect of magnetic anisotropy which exists in Fe-based alloy ribbon. Therefore, it is suggested that Fe-based alloys exhibit excellent stress-sensitive properties that can be understood by the competing inhibition effects of magnetic anisotropy. It is further shown that the competing inhibition effect of magnetic anisotropy is the main reason for regulating the giant magneto-impedance effect of soft magnetic materials. This multi-field coupling Fe-based alloy has good application prospects in regulating magnetic properties of magnetic materials.

Keywords:

Authors and contacts

1.
College of Physics and Electronic Information Engineering, Zhejiang Normal University, Jinhua 321004, China
2.
College of Electronic Information and Electrical Engineering, Tianshui Normal University, Tianshui 741001, China
3.
Key Laboratory of Solid State Optoelectronic Devices of Zhejiang Povince, Zhejiang Normal University, Jinhua 321004, China
4.
Tourism College of Zhejiang, Hangzhou 311231, China

Corresponding author: Zhang Jian-Qiang, zhjian8386@163.com ; Fang Yun-Zhang, fyz@zjnu.cn

Funds: Project supported by the Key Specialized Research and Development Program of Xinjiang Uygur Autonomous Region, China (Grant No. KYZ04Y21100), the Fund for Less Developed Regions of the National Natural Science Foundation of China (Grant No. 12064037), the Program on Science and Technology of Gansu Province, China (Grant No. 21JR1RE288), the Natural Science Foundation of Xinjiang Uygur Autonomous Region, China (Grant No. 2021D01B47), and the High Level Pre-research Program of Tianshui Normal University, China (Grant No. GJB2021-09) .

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References

[1]	Duwez P, Willens R H, Klement W 1960 J. Appl. Phys. 31 1136
[2]	汪卫华, 张哲峰 2021 金属学报 57 1 Google Scholar Wang W H, Zhang Z F 2021 Acta Metall. Sin. 57 1 Google Scholar
[3]	姚可夫, 施凌翔, 陈双琴, 邵洋, 陈娜, 贾蓟丽 2018 物理学报 67 016101 Google Scholar Yao K F, Shi L X, Chen S Q, Shao Y, Chen N, Jia J L 2018 Acta Phys. Sin. 67 016101 Google Scholar
[4]	Panina L V, Mohri K 1994 Appl. Phys. Lett. 65 1189
[5]	Mohri K, Kawashiwa K, Yoshida H, Panina L V 1992 IEEE. Trans. Magn. 28 3150 Google Scholar
[6]	Indaa K, Mohri K, Inuzuka K 1994 IEEE. Trans. Magn. 30 4623 Google Scholar
[7]	Panina L V, Mohri K, Uchiyama T, Noda M, Bushida 1995 IEEE. Trans. Magn. 31 1249 Google Scholar
[8]	Kawashima K, Kohzawa K, Yoshida H, Mohri M 1993 IEEE. Trans. Magn. 29 3168 Google Scholar
[9]	杨介信, 杨夑龙, 陈国, 蒋可玉, 沈国土, 胡炳元, 金若鹏 1998 中国科学 43 1051 Google Scholar Yang J X, Yang X L, Chen G, Jiang K Y, Shen G T, Hu B Y, Jin R P 1998 Chin. Sci. Bull. 43 1051 Google Scholar
[10]	Gong W Y, Wu Z M, Lin H, Yang J X, Zhao Z J 2008 J. Magn. Magn. Mater. 320 1553 Google Scholar
[11]	方允樟, 许启明, 叶慧群, 郑金菊, 范晓珍, 潘日敏, 马云, 李文忠 2011 功能材料 42 1083 Fang Y Z, Xu Q M, Ye H Q, Zheng J J, Fan X Z, Pan R M, Ma Y, Li W Z 2011 Funct. Mater. 42 1083
[12]	Zhukov A, Ipatov M, Churyukanova M, Talaat A, Blanco J M, Zhukova V 2017 J. Alloys Compd. 727 887 Google Scholar
[13]	Herzer G 2013 Acta. Mater. 61 718 Google Scholar
[14]	Zhukov A, Ipatov M, Corte-Leon P, Gonzalez-Legarreta L, Churyukanova M, Blanco J M, Gonzalez J, Taskaev S, Hernando B, Zhukova V 2020 J. Alloys Compd. 814 152225 Google Scholar
[15]	Corte-Leon P, Zhukova V, Ipatov M, Blanco J M, Gonzalez J, Zhukov A 2019 Intermetallics 105 92 Google Scholar
[16]	Zhukova V, Blanco J M, Ipatov M, Gonzalez J, Churyukanova M, Zhukov A 2018 Scr. Mater. 142 10 Google Scholar
[17]	Phan M H, Peng H X 2008 Prog. Mater. Sci. 53 323 Google Scholar
[18]	Ohnuma M, Yanai T, Hono K, Nakano M, Fukunaga H, Yoshizawa Y, Herzer G 2010 J. Appl. Phys. 108 093927 Google Scholar
[19]	Kernion S J, Ohodnicki P R, Grossmann J J, Leary A, Shen S, Keylin V, Huth J F, Horwath J, Lucas M S, McHenry M E 2012 Appl. Phys. Lett. 101 102408 Google Scholar
[20]	Iannotti V, Amoruso S, Ausanio G, Wang X, Lanotte L, Barone A C, Margaris G, Trohidou K N, Fiorani D 2011 Phys. Rev. B 83 214422 Google Scholar
[21]	Bolyachkin A S, Volegov A S, Kudrevatykh N V 2015 J. Magn. Magn. Mater. 378 362 Google Scholar
[22]	Muscas G, Concas G, Laureti S, Testa A M, Mathieu R, De Toro J A, Cannas C, Musinu A, Novak M A, Sangregorio C, Lee S S, Peddis D 2018 Phys. Chem. Chem. Phys. 20 28634 Google Scholar
[23]	纪松, 杨国斌, 王润 1996 物理学报 45 2061 Google Scholar Ji S, Yang G B, Wang R 1996 Acta Phys. Sin. 45 2061 Google Scholar
[24]	Hinokihara T, Miyashita S 2021 Phys. Rev. B 103 054421 Google Scholar
[25]	Hofmann B, Kronmüller H 1996 J. Magn. Magn. Mater. 152 91 Google Scholar
[26]	Herzer G 1995 Scr. Metall. Mater. 33 1741 Google Scholar
[27]	Hernando A, Kulik T 1994 Phys. Rev. B 49 7064 Google Scholar
[28]	张建强, 路飞平, 赵小龙, 何林芳 2019 磁性材料及器件 50 9 Zhang J Q, Lu F P, Zhao X L, He L F 2019 J. Magn. Mater. Device 50 9
[29]	Jaafar M, Pablo-Navarro A, Berganza E, Ares P, Magén C, Masseboeuf A, Gatel C, Snoeck E, Gómez-Herrero J, Teresa J M, Asenjo A 2020 Nanoscale 12 10090 Google Scholar

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图 1 Fe基合金LDGMI效应　(a) 0−503 MPa退火; (b) “单峰”状; (c) “尖刺+穹顶”状; (d) “穹顶”状

Figure 1. LDGMI effect of Fe-based alloy: (a) Annealed with different tensile stress (0−503 MPa); (b) single peak shape; (c) spike and dome shape; (d) dome shape.

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图 2 Fe基合金最大磁阻抗比及磁灵敏度与退火应力关系

Figure 2. Maximum magneto-impedance ratio and magnetic sensitivity of Fe-based alloys ribbons as a function of annealing tensile stress.

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图 3 MFC热处理Fe基合金带的XRD谱

Figure 3. XRD pattern of Fe-based alloy heated with MFC method.

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图 4 “尖刺+穹顶”状LDGMI曲线高斯拟合　(a) 180 MPa退火合金带LDGMI效应拟合; (b) 总拟合曲线; (c) “尖刺”状; (d) “穹顶”状

Figure 4. Gaussian fitting of “spike and dome” like LDGMI effect curve: (a) Fitting curve of LDGMI effect for Fe-based alloy ribbon annealed with tensile stress of 180 MPa; (b) the whole fitting curve; (c) spike shape; (d) dome shape.

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图 5 应力各向异性场和磁晶各向异性场与应力关系

Figure 5. Stress anisotropy field and the magneto-crystalline anisotropy field of Fe-based alloy ribbons as a function of annealing tensile stress.

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图 6 不同退火应力下, MFC热处理Fe基合金磁畴结构图　(a) 0 MPa; (b) 94 MPa; (c) 339 MPa

Figure 6. Domain structure patterns of Fe-based alloy ribbons heated by MFC under different tensile stress: (a) 0 MPa; (b) 94 MPa; (c) 339 MPa.

DownLoad: Full-Size Img PowerPoint

图 7 Fe基合金磁各向异性竞争抑制作用模型示意图

Figure 7. Schematic diagram of the competing inhibition model of magnetic anisotropy in Fe-based alloys.

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表 1 未加张应力退火Fe基合金带的结构参数和磁学量参数

Table 1. Structural and magnetic parameters of Fe-based alloy annealed without tensile stress.

	参数/单位	数值
结构参数	D/nm	16.20
结构参数	x/%	53.12
磁学量参数	K₁/(J·m^–3)	8000^[26]
	A/(J·m^–1)	10^–11[26]
	J_s/T	1.24^[25]
	〈K₁〉/(J·m^–3)	8.36
	H_k/(A·m^–1)	13.48
	H_σ/(A·m^–1)	91.51
	k	0.147

DownLoad: CSV

表 2 MFC热处理Fe基合金带LDGMI效应曲线拟合DPGF参数和磁学参数

Table 2. DPGF parameters of LDGMI effect curves and magnetic parameters of Fe-based alloy heated by MFC method.

应力 σ/MPa	DPGF参数			磁各向异性场				实验值
应力 σ/MPa	W₁	W₂	R	H_k/(A·m^–1)	H_σ/(A·m^–1)	H_eff/(A·m^–1)	k	H_eff/(A·m^–1)
94	105.64	549.94	0.997	52.82	274.97	280.00	0.195	—
180	139.97	893.04	0.986	69.98	446.52	451.97	0.157	—
260	177.79	1183.86	0.975	88.90	591.93	598.57	0.150	—
339	—	—	—	106.5	745.23	752.80	0.143	772.52
421	—	—	—	124.32	899.94	908.49	0.138	903.81
503	—	—	—	142.36	1056.56	1066.11	0.135	1012.43

DownLoad: CSV

[1]	Duwez P, Willens R H, Klement W 1960 J. Appl. Phys. 31 1136
[2]	汪卫华, 张哲峰 2021 金属学报 57 1 Google Scholar Wang W H, Zhang Z F 2021 Acta Metall. Sin. 57 1 Google Scholar
[3]	姚可夫, 施凌翔, 陈双琴, 邵洋, 陈娜, 贾蓟丽 2018 物理学报 67 016101 Google Scholar Yao K F, Shi L X, Chen S Q, Shao Y, Chen N, Jia J L 2018 Acta Phys. Sin. 67 016101 Google Scholar
[4]	Panina L V, Mohri K 1994 Appl. Phys. Lett. 65 1189
[5]	Mohri K, Kawashiwa K, Yoshida H, Panina L V 1992 IEEE. Trans. Magn. 28 3150 Google Scholar
[6]	Indaa K, Mohri K, Inuzuka K 1994 IEEE. Trans. Magn. 30 4623 Google Scholar
[7]	Panina L V, Mohri K, Uchiyama T, Noda M, Bushida 1995 IEEE. Trans. Magn. 31 1249 Google Scholar
[8]	Kawashima K, Kohzawa K, Yoshida H, Mohri M 1993 IEEE. Trans. Magn. 29 3168 Google Scholar
[9]	杨介信, 杨夑龙, 陈国, 蒋可玉, 沈国土, 胡炳元, 金若鹏 1998 中国科学 43 1051 Google Scholar Yang J X, Yang X L, Chen G, Jiang K Y, Shen G T, Hu B Y, Jin R P 1998 Chin. Sci. Bull. 43 1051 Google Scholar
[10]	Gong W Y, Wu Z M, Lin H, Yang J X, Zhao Z J 2008 J. Magn. Magn. Mater. 320 1553 Google Scholar
[11]	方允樟, 许启明, 叶慧群, 郑金菊, 范晓珍, 潘日敏, 马云, 李文忠 2011 功能材料 42 1083 Fang Y Z, Xu Q M, Ye H Q, Zheng J J, Fan X Z, Pan R M, Ma Y, Li W Z 2011 Funct. Mater. 42 1083
[12]	Zhukov A, Ipatov M, Churyukanova M, Talaat A, Blanco J M, Zhukova V 2017 J. Alloys Compd. 727 887 Google Scholar
[13]	Herzer G 2013 Acta. Mater. 61 718 Google Scholar
[14]	Zhukov A, Ipatov M, Corte-Leon P, Gonzalez-Legarreta L, Churyukanova M, Blanco J M, Gonzalez J, Taskaev S, Hernando B, Zhukova V 2020 J. Alloys Compd. 814 152225 Google Scholar
[15]	Corte-Leon P, Zhukova V, Ipatov M, Blanco J M, Gonzalez J, Zhukov A 2019 Intermetallics 105 92 Google Scholar
[16]	Zhukova V, Blanco J M, Ipatov M, Gonzalez J, Churyukanova M, Zhukov A 2018 Scr. Mater. 142 10 Google Scholar
[17]	Phan M H, Peng H X 2008 Prog. Mater. Sci. 53 323 Google Scholar
[18]	Ohnuma M, Yanai T, Hono K, Nakano M, Fukunaga H, Yoshizawa Y, Herzer G 2010 J. Appl. Phys. 108 093927 Google Scholar
[19]	Kernion S J, Ohodnicki P R, Grossmann J J, Leary A, Shen S, Keylin V, Huth J F, Horwath J, Lucas M S, McHenry M E 2012 Appl. Phys. Lett. 101 102408 Google Scholar
[20]	Iannotti V, Amoruso S, Ausanio G, Wang X, Lanotte L, Barone A C, Margaris G, Trohidou K N, Fiorani D 2011 Phys. Rev. B 83 214422 Google Scholar
[21]	Bolyachkin A S, Volegov A S, Kudrevatykh N V 2015 J. Magn. Magn. Mater. 378 362 Google Scholar
[22]	Muscas G, Concas G, Laureti S, Testa A M, Mathieu R, De Toro J A, Cannas C, Musinu A, Novak M A, Sangregorio C, Lee S S, Peddis D 2018 Phys. Chem. Chem. Phys. 20 28634 Google Scholar
[23]	纪松, 杨国斌, 王润 1996 物理学报 45 2061 Google Scholar Ji S, Yang G B, Wang R 1996 Acta Phys. Sin. 45 2061 Google Scholar
[24]	Hinokihara T, Miyashita S 2021 Phys. Rev. B 103 054421 Google Scholar
[25]	Hofmann B, Kronmüller H 1996 J. Magn. Magn. Mater. 152 91 Google Scholar
[26]	Herzer G 1995 Scr. Metall. Mater. 33 1741 Google Scholar
[27]	Hernando A, Kulik T 1994 Phys. Rev. B 49 7064 Google Scholar
[28]	张建强, 路飞平, 赵小龙, 何林芳 2019 磁性材料及器件 50 9 Zhang J Q, Lu F P, Zhao X L, He L F 2019 J. Magn. Mater. Device 50 9
[29]	Jaafar M, Pablo-Navarro A, Berganza E, Ares P, Magén C, Masseboeuf A, Gatel C, Snoeck E, Gómez-Herrero J, Teresa J M, Asenjo A 2020 Nanoscale 12 10090 Google Scholar

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