Recent progress on the planar Hall effect in quantum materials
Jingyuan Zhong(钟景元)1, Jincheng Zhuang(庄金呈)1,2,†, and Yi Du(杜轶)1,2,‡
1 School of Physics, Beihang University, Beijing 100191, China; 2 Centre of Quantum and Matter Sciences, International Research Institute for Multidisciplinary Science, Beihang University, Beijing 100191, China
Abstract The planar Hall effect (PHE), which originates from anisotropic magnetoresistance, presents a qualitative and simple approach to characterize electronic structures of quantum materials by applying an in-plane rotating magnetic field to induce identical oscillations in both longitudinal and transverse resistances. In this review, we focus on the recent research on the PHE in various quantum materials, including ferromagnetic materials, topological insulators, Weyl semimetals, and orbital anisotropic matters. Firstly, we briefly introduce the family of Hall effect and give a basic deduction of PHE formula with the second-order resistance tensor, showing the mechanism of the characteristic π-period oscillation in trigonometric function form with a π/4 phase delay between the longitudinal and transverse resistances. Then, we will introduce the four main mechanisms to realize PHE in quantum materials. After that, the origin of the anomalous planar Hall effect (APHE) results, of which the curve shapes deviate from that of PHE, will be reviewed and discussed. Finally, the challenges and prospects for this field of study are discussed.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11904015), the Fundamental Research Funds for the Central Universities (Grant No. YWF-22-K-101), and the National Key R&D Program of China (Grant No. 2018YFE0202700).
Corresponding Authors:
Jincheng Zhuang, Yi Du
E-mail: jincheng@buaa.edu.cn;yi_du@buaa.edu.cn
Cite this article:
Jingyuan Zhong(钟景元), Jincheng Zhuang(庄金呈), and Yi Du(杜轶) Recent progress on the planar Hall effect in quantum materials 2023 Chin. Phys. B 32 047203
[1] Hasan M Z and Kane C L 2010 Rev. Mod. Phys.82 3045 [2] König M, Wiedmann S, Brüne C, Roth A, Buhmann H, Molenkamp L W, Qi X L and Zhang S C 2007 Science318 766 [3] Noguchi R, Takahashi T, Kuroda K, Ochi M, Shirasawa T, Sakano M, Bareille C, Nakayama M, Watson M D, Yaji K, Harasawa A, Iwasawa H, Dudin P, Kim T K, Hoesch M, Kandyba V, Giampietri A, Barinov A, Shin S, Arita R, Sasagawa T and Kondo T 2019 Nature566 518 [4] Tang P, Zhou Q, Xu G and Zhang S C 2016 Nat. Phys.12 1100 [5] Dufouleur J, Veyrat L, Teichgräber A, Neuhaus S, Nowka C, Hampel S, Cayssol J, Schumann J, Eichler B, Schmidt O G, Büchner B and Giraud R 2013 Phys. Rev. Lett.110 186806 [6] Cichorek T, Bochenek Ł, Juraszek J, Sharlai Y V and Mikitik G P 2022 Nat. Commun.13 3868 [7] Chen T, Tomita T, Minami S, Fu M, Koretsune T, Kitatani M, Muhammad I, Nishio-Hamane D, Ishii R, Ishii F, Arita R and Nakatsuji S 2021 Nat. Commun.12 572 [8] Xu S Y, Belopolski I, Sanchez D S, Neupane M, Chang G, Yaji K, Yuan Z, Zhang C, Kuroda K, Bian G, Guo C, Lu H, Chang T R, Alidoust N, Zheng H, Lee C C, Huang S M, Hsu C H, Jeng H T, Bansil A, Neupert T, Komori F, Kondo T, Shin S, Lin H, Jia S and Hasan M Z 2016 Phys. Rev. Lett.116 096801 [9] Wu W, Shi Z, Du Y, Wang Y, Qin F, Meng X, Liu B, Ma Y, Yan Z, Ozerov M, Zhang C, Lu H Z, Chu J and Yuan X 2023 Nat. Mater.22 84 [10] Taychatanapat T, Watanabe K, Taniguchi T and Jarillo-Herrero P 2011 Nat. Phys.7 621 [11] Das I, Lu X, Herzog-Arbeitman J, Song Z D, Watanabe K, Taniguchi T, Bernevig B A and Efetov D K 2021 Nat. Phys.17 710 [12] Yoshimi R, Tsukazaki A, Kozuka Y, Falson J, Takahashi K S, Checkelsky J G, Nagaosa N, Kawasaki M and Tokura Y 2015 Nat. Commun.6 6627 [13] Chong S K, Han K B, Sparks T D and Deshpande V V 2019 Phys. Rev. Lett.123 036804 [14] Novoselov K S, McCann E, Morozov S V, Fal'ko V I, Katsnelson M I, Zeitler U, Jiang D, Schedin F and Geim A K 2006 Nat. Phys.2 177 [15] Shamim S, Beugeling W, Böttcher J, Shekhar P, Budewitz A, Leubner P, Lunczer L, Hankiewicz E M, Buhmann H and Molenkamp L W 2020 Sci. Adv.6 eaba4625 [16] Wang P, Tang F, Wang P, Zhu H, Cho C W, Wang J, Du X, Shao Y and Zhang L 2021 Phys. Rev. B103 155201 [17] Wang H, Liu H, Li Y, Liu Y, Wang J, Liu J, Dai J Y, Wang Y, Li L, Yan J, Mandrus D, Xie X C and Wang J 2018 Sci. Adv.4 eaau5096 [18] Nagaosa N, Sinova J, Onoda S, MacDonald A H and Ong N P 2010 Rev. Mod. Phys.82 1539 [19] Chang C Z, Zhang J, Feng X, Shen J, Zhang Z, Guo M, Li K, Ou Y, Wei P, Wang L L, Ji Z Q, Feng Y, Ji S, Chen X, Jia J, Dai X, Fang Z, Zhang S C, He K, Wang Y, Lu L, Ma X C and Xue Q K 2013 Science340 167 [20] Mihály G, Csontos M, Bordács S, Kézsmárki I, Wojtowicz T, Liu X, Jankó B and Furdyna J K 2008 Phys. Rev. Lett.100 107201 [21] Wang L, Wesselink R J H, Liu Y, Yuan Z, Xia K and Kelly P J 2016 Phys. Rev. Lett.116 196602 [22] Zhu L, Ralph D C and Buhrman R A 2018 Phys. Rev. Appl.10 031001 [23] Skinner T D, Olejník K, Cunningham L K, Kurebayashi H, Campion R P, Gallagher B L, Jungwirth T and Ferguson A J 2015 Nat. Commun.6 6730 [24] Bowen M, Friedland K J, Herfort J, Schönherr H P and Ploog K H 2005 Phys. Rev. B71 172401 [25] Tang H X, Kawakami R K, Awschalom D D and Roukes M L 2003 Phys. Rev. Lett.90 107201 [26] Fernández-Pacheco A, De Teresa J M, Orna J, Morellon L, Algarabel P A, Pardo J A, Ibarra M R, Magen C and Snoeck E 2008 Phys. Rev. B78 212402 [27] Taskin A A, Legg H F, Yang F, Sasaki S, Kanai Y, Matsumoto K, Rosch A and Ando Y 2017 Nat. Commun.8 1340 [28] Wu B, Pan X C, Wu W, Fei F, Chen B, Liu Q, Bu H, Cao L, Song F and Wang B 2018 Appl. Phys. Lett.113 011902 [29] Zhou L, Ye B C, Gan H B, Tang J Y, Chen P B, Du Z Z, Tian Y, Deng S Z, Guo G P, Lu H Z, Liu F and He H T 2019 Phys. Rev. B99 155424 [30] Rakhmilevich D, Wang F, Zhao W, Chan M H W, Moodera J S, Liu C and Chang C Z 2018 Phys. Rev. B98 094404 [31] Li P, Zhang C, Wen Y, Cheng L, Nichols G, Cory D G, Miao G X and Zhang X X 2019 Phys. Rev. B100 205128 [32] Nandy S, Sharma G, Taraphder A and Tewari S 2017 Phys. Rev. Lett.119 176804 [33] Li H, Wang H W, He H, Wang J and Shen S Q 2018 Phys. Rev. B97 201110 [34] Li P, Zhang C H, Zhang J W, Wen Y and Zhang X X 2018 Phys. Rev. B98 121108 [35] Zhang N, Zhao G, Li L, Wang P, Xie L, Cheng B, Li H, Lin Z, Xi C, Ke J, Yang M, He J, Sun Z, Wang Z, Zhang Z and Zeng C 2020 Proc. Natl. Acad. Sci. USA117 11337 [36] Liu Q, Fei F, Chen B, Bo X, Wei B, Zhang S, Zhang M, Xie F, Naveed M, Wan X, Song F and Wang B 2019 Phys. Rev. B99 155119 [37] Liang D D, Wang Y J, Zhen W L, Yang J, Weng S R, Yan X, Han Y Y, Tong W, Zhu W K, Pi L and Zhang C J 2019 AIP Adv.9 055015 [38] Kumar N, Guin S N, Felser C and Shekhar C 2018 Phys. Rev. B98 041103 [39] Yang S Y, Chang K and Parkin S S P 2020 Phys. Rev. Research2 022029 [40] Zhong J, Yang M, Wang J, Li Y, Liu C, Mu D, Liu Y, Cheng N, Zhuang J, Du Y and Hao W 2023 Submitted [41] Yang J, Zhen W L, Liang D D, Wang Y J, Yan X, Weng S R, Wang J R, Tong W, Pi L, Zhu W K and Zhang C J 2019 Phys. Rev. Mater.3 014201 [42] Yang X C, Luo X, Gao J J, Jiang Z Z, Wang W, Wang T Y, Si J G, Xi C Y, Song W H and Sun Y P 2021 Phys. Rev. B104 155106 [43] Meng J, Xue H, Liu M, Jiang W, Zhang Z, Ling J, He L, Dou R, Xiong C and Nie J 2020 J. Phys. Condens. Matter32 015702 [44] Huang D, Nakamura H and Takagi H 2021 Phys. Rev. Research3 013268 [45] Wu M, Tu D, Nie Y, Miao S, Gao W, Han Y, Zhu X, Zhou J, Ning W and Tian M 2022 Nano Lett.22 73 [46] Rout P K, Agireen I, Maniv E, Goldstein M and Dagan Y 2017 Phys. Rev. B95 241107 [47] Lozano P M, Cardoso G, Aryal N, Nevola D, Gu G, Tsvelik A, Yin W and Li Q 2022 Phys. Rev. B106 L081124 [48] Galeski S, Legg H F, Wawrzyńczak R, Förster T, Zherlitsyn S, Gorbunov D, Uhlarz M, Lozano P M, Li Q, Gu G D, Felser C, Wosnitza J, Meng T and Gooth J 2022 Nat. Commun.13 7418 [49] Yang S Y, Wang Y, Ortiz B R, Liu D, Gayles J, Derunova E, Gonzalez-Hernandez R, Šmejkal L, Chen Y, Parkin S S P, Wilson S D, Toberer E S, McQueen T and Ali M N 2020 Sci. Adv.6 eabb6003 [50] Fu H, Wu Y, Zhang R, Sun J, Shan P, Wang P, Zhu Z, Pfeiffer L N, West K W, Liu H, Xie X C and Lin X 2019 Nat. Commun.10 4351 [51] Sun P, Wei B, Zhang J, Tomczak J M, Strydom A M, Sondergaard M, Iversen B B and Steglich F 2015 Nat. Commun.6 7475 [52] Alexandrov A S and Zavaritsky V N 2004 Phys. Rev. Lett.93 217002 [53] Pan Y, Le C, He B, Watzman S J, Yao M, Gooth J, Heremans J P, Sun Y and Felser C 2022 Nat. Mater.21 203 [54] Ikhlas M, Tomita T, Koretsune T, Suzuki M T, Nishio-Hamane D, Arita R, Otani Y and Nakatsuji S 2017 Nat. Phys.13 1085 [55] McGuire T and Potter R 1975 IEEE Trans. Magn.11 1018 [56] Zhao B, Yan X and Pakhomov A B 1997 J. Appl. Phys.81 5527 [57] Nemoto A, Otani Y, Kim S G, Fukamichi K, Kitakami O and Shimada Y 1999 Appl. Phys. Lett.74 4026 [58] Cowburn R P, Gray S J, Ferré J, Bland J A C and Miltat J 1995 J. Appl. Phys.78 7210 [59] Hong K and Giordano N 1995 Phys. Rev. B51 9855 [60] Ohno H 1998 Science281 951 [61] Bason Y, Klein L, Wang H Q, Hoffman J, Hong X, Henrich V E and Ahn C H 2007 J. Appl. Phys.101 09J507 [62] Bason Y, Klein L, Yau J B, Hong X and Ahn C H 2004 Appl. Phys. Lett.84 2593 [63] Li C Z, Wang L X, Liu H, Wang J, Liao Z M and Yu D P 2015 Nat. Commun.6 10137 [64] Liang S, Lin J, Kushwaha S, Xing J, Ni N, Cava R J and Ong N P 2018 Phys. Rev. X8 031002 [65] Collaudin A, Fauqué B, Fuseya Y, Kang W and Behnia K 2015 Phys. Rev. X5 021022 [66] Ding S, Noël P, Krishnaswamy G K and Gambardella P 2022 Phys. Rev. Research4 L032041 [67] Papadakis S J, De Poortere E P, Shayegan M and Winkler R 2000 Phys. Rev. Lett.84 5592 [68] Yoshimi R, Tsukazaki A, Kozuka Y, Falson J, Takahashi K S, Checkelsky J G, Nagaosa N, Kawasaki M and Tokura Y 2015 Nat. Commun.6 6627 [69] Yang M, Liu Y, Zhou W, Liu C, Mu D, Liu Y, Wang J, Hao W, Li J, Zhong J, Du Y and Zhuang J 2022 ACS Nano16 3036 [70] Zhong J, Yang M, Ye F, Liu C, Wang J, Wang J, Hao W, Zhuang J and Du Y 2022 Phys. Rev. Appl.17 064017 [71] Cullen J H, Bhalla P, Marcellina E, Hamilton A R and Culcer D 2021 Phys. Rev. Lett.126 256601
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