1National Laboratory of Solid State Microstructures, School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China 2Ningbo Institute of Materials Technology and Engineering, Chinese Academy of Sciences, Ningbo 315201, China
Abstract：We report the interplay between two different topological phases in condensed matter physics, the magnetic chiral domain wall (DW), and the quantum anomalous Hall (QAH) effect. It is shown that the chiral DW driven by Dzyaloshinskii–Moriya interaction can divide the uniform domain into several zones where the neighboring zone possesses opposite quantized Hall conductance. The separated domain with a chiral edge state (CES) can be continuously modified by external magnetic field-induced domain expansion and thermal fluctuation, which gives rise to the reconfigurable QAH effect. More interestingly, we show that the position of CES can be tuned by spin current driven chiral DW motion. Several two-dimensional magnets with high Curie temperature and large topological band gaps are proposed for realizing these phenomena. The present work thus reveals the possibility of chiral DW controllable QAH effects.
Chang C Z, Zhang J, Feng X, Zhang Z, Guo M, Li K, Ou Y, Wei P, Wang 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
Kou X F, Guo S T, Fan Y, Pan L, Lang M R, Jiang Y, Shao Q M, Nie T X, Murata K, Tang J S, Wang Y, He L, Lee T K, Lee W L, and Wang K L 2014 Phys. Rev. Lett.113 137201
[20]
Xiao D, Jiang J, Shin J H, Wang W, Wang F, Zhao Y F, Liu C, Wu W, Chan M H W, Samarth N, and Chang C Z 2018 Phys. Rev. Lett.120 056801
Kayyalha M, Xiao D, Zhang R, Shin J, Jiang J, Wang F, Zhao Y, Xiao R, Zhang L, Fijalkowski K M, Mandal P, Winnerlein M, Gould C, Li Q, Molenkamp L W, Chan M H W, Samarth N, and Chang C Z 2020 Science367 64
Ou Y B, Liu C, Jiang G Y, Feng Y, Zhao D Y, Wu W, Wang X X, Li W, Song C L, Wang L L, Wang W B, Wu W D, Wang Y Y, He K, Ma X C, and Xue Q K 2017 Adv. Mater.30 1703062
See the Supplemental Information for (1) computational details; (2) structural and magnetic parameters of VSe${_2}$ and Fe${_2}X$I ($X$ = Cl, Br); (3) crystal structure of VSe${_2}$; (4) phonon dispersions; (5) strain-dependent basic magnetic parameters and (6) orbit-resolved band structures of VSe${_2}$; (7) snapshots of fully relaxed spin configurations of VSe${_2}$ nanoribbon after injecting 0.1 ns spin current. The current density varies from 0 to $1.4\times10^{12}$ A/m${^2}$; (8) crystal structure, spin configurations and topological edge states, (9) temperature-dependent magnetization and heat capacity, and (10) magnetization orientation-controlled band structures of Fe${_2}X$I ($X$ = Cl, Br), which includes Refs. [14,39,51,57-66]
[49]
Cui Q R, Zhu Y M, Ga Y L, Liang J H, Li P, Yu D X, Cui P, and Yang H X 2022 Nano Lett.22 2334
[50]
Yasuda K, Wakatsuki R, Morimoto T, Yoshimi R, Tsukazaki A, Takahashi K S, Ezawa M, Kawasaki M, Nagaosa N, and Tokura Y 2016 Nat. Phys.12 555
[51]
Wang W B, Daniels M W, Liao Z L, Zhao Y F, Wang J, Koster G, Rijnders G, Chang C Z, Xiao D, and Wu W D 2019 Nat. Mater.18 1054
[52]
Jiang J, Xiao D, Wang F, Shin J H, Andreoli D, Zhang J, Xiao R, Zhao Y F, Kayyalha M, Zhang L, Wang K, Zang J, Liu C, Samarth N, Chan M H W, and Chang C Z 2020 Nat. Mater.19 732
[53]
Zhang X Q, Ambhire S C, Lu Q S, Niu W, Cook J, Jiang J S, Hong D, Alahmed L, He L, Zhang R, Xu Y, Zhang S, Li P, and Bian G 2021 ACS Nano15 15710
Safeer C K, Ontoso N, Ingla-Aynes J, Herling F, Pham V T, Kurzmann A, Ensslin K, Chuvilin A, Robredo I, Vergniory M G, de Juan F, Hueso L E, Calvo M R, and Casanova F 2019 Nano Lett.19 8758
[57]
Song P, Hsu C H, Vignale G, Zhao M, Liu J, Deng Y, Fu W, Liu Y, Zhang Y, Lin H, Pereira V M, and Loh K P 2020 Nat. Mater.19 292
[58]
Xu H J, Wei J W, Zhou H G, Feng J F, Xu T, Du H F, He C L, Huang Y, Zhang J W, Liu Y Z, Wu H C, Guo C, Wang X, Guang Y, Wei H, Peng Y, Jiang W, Yu G, and Han X 2020 Adv. Mater.32 2000513
[59]
Shao Q M, Yu G Q, Lan Y W, Shi Y M, Li M Y, Zheng C, Zhu X D, and Li L J 2016 Nano Lett.16 7514
[60]
MacNeill D, Stiehl G M, Guimaraes M H D, Buhrman R A, Park J, and Ralph D C 2017 Nat. Phys.13 300
2023, Vol. 40 
