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Robustness of half-integer quantized Hall conductivity against disorder in an anisotropic Dirac semimetal with parity anomaly

Zhen Ning, Xianyong Ding, Dong-Hui Xu*, and Rui Wang†

  • Institute for Structure and Function & Department of Physics & Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, Chongqing 400044, People's Republic of China and Center of Quantum Materials and Devices, Chongqing University, Chongqing 400044, People's Republic of China

  • *donghuixu@cqu.edu.cn
  • †rcwang@cqu.edu.cn

Phys. Rev. B 108, L041104 – Published 17 July, 2023Erratum Phys. Rev. B 108, 159901 (2023)

DOI: https://doi.org/10.1103/PhysRevB.108.L041104

Abstract

Two-dimensional Dirac semimetals with a single massless Dirac cone exhibit a parity anomaly. Usually, such a kind of anomalous topological semimetallic phase in real materials is unstable where any amount of disorder can drive it into a diffusive metal and destroy the half-integer quantized Hall conductivity as an indicator of parity anomaly. Here, based on a low-energy effective model, we propose an anisotropic Dirac semimetal which explicitly breaks time-reversal symmetry and carries half-integer quantized Hall conductivity. This topological semimetallic phase can be realized on a deformed honeycomb lattice subjected to a magnetic flux. Moreover, we perceptively investigate the disorder correction to the Hall conductivity. The results show that the effects of disorder can be strongly suppressed and thereby the nearly half-integer quantization of Hall conductivity can exist in a wide region of disorder, indicating that our proposed anisotropic Dirac semimetal is an exciting platform to investigate the parity anomaly phenomena.

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