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Chin. Phys. B, 2026, Vol. 35(8): 087202    DOI: 10.1088/1674-1056/ae5a14
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Cubic magnetocrystalline anisotropy-driven spin reorientation in TmIG detected by spin Hall magnetoresistance

Qinghui Yu(余庆汇)1, Xue He(贺雪)1, Yongli Yu(于永利)1, Xiuqiao Liu(刘修桥)1, Shilei Ding(丁石磊)2,†, and Rui Wu(吴锐)1,‡
1 Spin-X Institute, School of Physics and Optoelectronics, State Key Laboratory of Luminescent Materials and Devices, and Guangdong-Hong Kong-Macao Joint Laboratory of Optoelectronic and Magnetic Functional Materials, South China University of Technology, Guangzhou 511442, China;
2 School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore
Abstract  The precise manipulation and detection of magnetization in magnetic insulators are essential for the development of next-generation spintronic devices. Here, using a heterostructure consisting of a heavy metal and a magnetic garnet thin film, i.e., (111)-oriented Pt/Tm3Fe5O12 (TmIG), we reconstruct the three-dimensional magnetization reversal trajectory using spin Hall magnetoresistance (SMR). It is found that the SMR signal of the heterostructure exhibits abrupt jumps when the magnetic field is scanned along the out-of-plane direction, and this anomalous phenomenon persists at temperatures below 100 K. By employing a three-dimensional Stoner-Wohlfarth model, we demonstrate that this behavior originates from a discontinuous magnetization trajectory with a unique 3m symmetry, which is governed by the competition among the cubic magnetocrystalline anisotropy, magnetoelastic anisotropy, and the Zeeman energy. These results provide a novel strategy for detecting three-dimensional magnetization orientation in magnetic insulators and hold the potential to advance the development of low-energy-consumption spintronic devices.
Keywords:  spin Hall magnetoresistance      magnetic anisotropy      rare-earth iron garnet      Stoner-Wohlfarth model      spin reorientation  
Received:  06 March 2026      Revised:  31 March 2026      Accepted manuscript online:  01 April 2026
PACS:  72.25.-b (Spin polarized transport)  
  75.30.Gw (Magnetic anisotropy)  
  75.60.Jk (Magnetization reversal mechanisms)  
  75.50.Gg (Ferrimagnetics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12374108), the Guangdong Provincial Quantum Science Strategic Initiative (Grant No. GDZX2401002), and the GJYC program of Guangzhou (Grant No. 2024D01J0087). S.D. acknowledges support from the START-UP GRANT from Nanyang Technological University.

Cite this article: 

Qinghui Yu(余庆汇), Xue He(贺雪), Yongli Yu(于永利), Xiuqiao Liu(刘修桥), Shilei Ding(丁石磊), and Rui Wu(吴锐) Cubic magnetocrystalline anisotropy-driven spin reorientation in TmIG detected by spin Hall magnetoresistance 2026 Chin. Phys. B 35 087202

[1] Chumak A V, Vasyuchka V I, Serga A A and Hillebrands B 2015 Nat. Phys. 11 453
[2] Shao Q M, Li P, Liu L Q, Yang H, Fukami S, Razavi A, Wu H, Wang K, Freimuth F, Mokrousov Y, Stiles M D, Emori S, Hoffmann A, Akerman J, Roy K, Wang J P, Yang S H, Garello K and Zhang W 2021 IEEE Trans. Magn. 57 1
[3] Chen Y T, Takahashi S, Nakayama H, Althammer M, Goennenwein S T B, Saitoh E and Bauer G E W 2013 Phys. Rev. B 87 144411
[4] Nakayama H, Althammer M, Chen Y T, Uchida K, Kajiwara Y, Kikuchi D, Ohtani T, Geprags S, Opel M, Takahashi S, Gross R, Bauer G E W, Goennenwein S T B and Saitoh E 2013 Phys. Rev. Lett. 110 206601
[5] Vlietstra N, Shan J, Castel V, Van Wees B J and Ben Youssef J 2013 Phys. Rev. B 87 184421
[6] Althammer M, Meyer S, Nakayama H, Schreier M, Altmannshofer S, Weiler M, Huebl H, Geprags S, Opel M, Gross R, Meier D, Klewe C, Kuschel T, Schmalhorst J M, Reiss G, Shen L M, Gupta A, Chen Y T, Bauer G E W, Saitoh E and Goennenwein S T B 2013 Phys. Rev. B 87 224401
[7] Isasa M, Bedoya-Pinto A, Velez S, Golmar F, S anchez F, Hueso L E, Fontcuberta J and Casanova F 2014 Appl. Phys. Lett. 105 142402
[8] Avci C O, Quindeau A, Pai C F, Mann M, Caretta L, Tang A S, Onbasli M C, Ross C A and Beach G S D 2017 Nat. Mater. 16 309
[9] Hoogeboom G R, Aqeel A, Kuschel T, Palstra T T M and Van Wees B J 2017 Appl. Phys. Lett. 111 052409
[10] Ji Y, Miao J, Zhu Y M, Meng K K, Xu X G, Chen J K, Wu Y and Jiang Y 2018 Appl. Phys. Lett. 112 232404
[11] Fischer J, Althammer M, Vlietstra N, Huebl H, Goennenwein S T B, Gross R, Geprags S and Opel M2020 Phys. Rev. Appl. 13 014019
[12] Hahn C, De Loubens G, Klein O, Viret M, Naletov V V and Ben Youssef J 2013 Phys. Rev. B 87 174417
[13] Qu D, Huang S Y, Miao B F, Huang S X and Chien C L 2014 Phys. Rev. B 89 140407
[14] Zhou X, Ma L, Shi Z, Guo G Y, Hu J, Wu R Q and Zhou S M 2014 Appl. Phys. Lett. 105 012408
[15] Dong B W, Cramer J, Ganzhorn K, Yuan H Y, Guo E J, Goennenwein S T B and Klaui M2018 J. Phys.: Condens. Matter 30 035802
[16] Chen H J, Cheng D S, Yang H L, Wang D K, Zhou S M, Shi Z and Qiu X P 2020 Appl. Phys. Lett. 116 112401
[17] Guo M X, Cheng C K, Liu Y C, Wu C N, Chen W N, Chen T Y, Wu C T, Hsu C H, Zhou S Q, Chang C F, Tjeng L H, Lee S F, Pai C F, Hong M and Kwo J 2022 Phys. Rev. Mater. 6 054412
[18] Cao Van P, Kim H Y, Nguyen Thi T, Duong Viet D, Cao V A, Nah J H, Park S J, Jin H Y, Jo Y H, Park S Y, Park J J, Yuk J M, Kim K J and Jeong J R 2023 J. Alloys Compd. 941 169019
[19] Kajiwara Y, Harii K, Takahashi S, Ohe J, Uchida K, Mizuguchi M, Umezawa H, Kawai H, Ando K, Takanashi K, Maekawa S and Saitoh E 2010 Nature 464 262
[20] Cornelissen L J, Liu J, Duine R A, Youssef J B and Van Wees B J 2015 Nat. Phys. 11 1022
[21] Pirro P, Vasyuchka V I, Serga A A and Hillebrands B 2021 Nat. Rev. Mater. 6 1114
[22] Kubota M, Tsukazaki A, Kagawa F, Shibuya K, Tokunaga Y, Kawasaki M and Tokura Y 2012 Appl. Phys. Express 5 103002
[23] Quindeau A, Avci C O, Liu W Q, Sun C L, Mann M, Tang A S, Onbasli M C, Bono D, Voyles P M, Xu Y B, Robinson J, Beach G S D and Ross C A 2017 Adv. Electron. Mater. 3 1600376
[24] Vu N M, Meisenheimer P B and Heron J T 2020 J. Appl. Phys. 127 153905
[25] Ke J T, Zhang D L, Bi L Z, Li Z L, Zhou S, Wang P J, Zhu Z Z, Bai H, Li G S, Zhu M, Hu C Q, Zhang Y, Liu Y W and Cai J W 2024 Phys. Rev. Lett. 133 186703
[26] Husain S, Prestes N F, Fayet O, Collin S, Godel F, Jacquet E, Denneulin T, Dunin-Borkowski R E, Thiaville A, Bibes M, Jaffres H, Reyren N, Fert A and George J M 2024 Nano Lett. 24 2743
[27] Liang Z G, Lu J D, Yang S, Fang Z, Yan Y F, Wang Q, Li P, Fan M H and Wang L F 2024 Adv. Funct. Mater. 34 2315147
[28] Hansen P and Tolksdorf W 1991 J. Appl. Phys. 69 4577
[29] Miyazaki T and Tezuka N 1995 J. Magn. Magn. Mater. 139 L231
[30] Moodera J S, Kinder L R, Wong T M and Meservey R 1995 Phys. Rev. Lett. 74 3273
[31] Stoner E C and Wohlfarth E P 1948 Philos. Trans. R. Soc. Lond. Ser. A 240 599
[32] Powell M J D 1964 Comput. J. 7 155
[33] Meyer S, Schlitz R, Geprags S, Opel M, Huebl H, Gross R and Goen-nenwein S T B 2015 Appl. Phys. Lett. 106 132402
[34] Lee E W 1979 Phys. Bull. 30 533
[35] Fu J B, Hua M X, Wen X, Xue M Z, Ding S L, Wang M, Yu P, Liu S Q, Han J Z, Wang C S, Du H L, Yang Y C and Yang J B 2017 Appl. Phys. Lett. 110 202403
[36] Pearson R F 1962 J. Appl. Phys. 33 1236
[37] Liu Y K, Wong H F, Ng S M, Mak C L and Leung C W 2020 J. Magn. Magn. Mater. 501 166454
[38] Jin L C, Zhang D N, Zhang H W, Tang X L, Bai F M, Zhong Z Y, Fan X and Xiao J Q 2014 Appl. Phys. Lett. 105 132411
[39] Liu Q B, Meng K K, Xu Z D, Zhu T, Xu X G, Miao J and Jiang Y 2020 Phys. Rev. B 101 174431
[40] Tang M, Huang J W, Qin F, Zhai K, Ideue T, Li Z, Meng F H, Nie A M, Wu L L, Bi X Y, Zhang C R, Zhou L, Chen P, Qiu C Y, Tang P Z, Zhang H J, Wan X G, Wang L, Liu Z Y, Tian Y J, Iwasa Y and Yuan H T 2022 Nat. Electron. 6 28
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