Possible quantization and half-quantization in the anomalous Hall effect caused by in-plane magnetic field

Song Sun; Hongming Weng; Xi Dai

doi:10.1103/PhysRevB.106.L241105

Letter

Possible quantization and half-quantization in the anomalous Hall effect caused by in-plane magnetic field

Song Sun ^1,2, Hongming Weng^1,2,3, and Xi Dai^4,5,*

¹Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
²University of Chinese Academy of Sciences, Beijing 100049, China
³Songshan Lake Materials Laboratory, Dongguan, Guangdong 523808, China
⁴Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong
⁵Materials Department, University of California, Santa Barbara, California 93106-5050, USA

^*daix@ust.hk

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Phys. Rev. B 106, L241105 – Published 14 December, 2022

DOI: https://doi.org/10.1103/PhysRevB.106.L241105

Abstract

In this paper we propose that quantized and nearly half-quantized intrinsic anomalous Hall effect can be induced by in-plane external magnetic field through the Zeeman coupling in nonmagnetic two-dimensional (2D) systems with sizable spin-orbital coupling but without twofold rotational symmetry. An analytical result is derived for the 2D electron gas model with $C_{3 v}$ symmetry. Further, based on the $k \cdot p$ Hamiltonian derived from first principle calculations, we find that the quantized and nearly half-quantized Hall conductance can be observed in ${Sb}_{2} {Te}_{3}$ thin film in the clean limit with strong in-plane magnetic field $B > 20 T$ and low temperature $T < 100 mK$ .

Physical Review B

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Possible quantization and half-quantization in the anomalous Hall effect caused by in-plane magnetic field

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Possible quantization and half-quantization in the anomalous Hall effect caused by in-plane magnetic field

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