Generalization of the theory of three-dimensional quantum Hall effect of Fermi arcs in Weyl semimetal

doi:10.1088/1674-1056/ac5c32

中国物理B ›› 2022, Vol. 31 ›› Issue (5): 57304-057304.doi: 10.1088/1674-1056/ac5c32

Generalization of the theory of three-dimensional quantum Hall effect of Fermi arcs in Weyl semimetal

Mingqi Chang(苌名起)¹, Yunfeng Ge(葛云凤)¹, and Li Sheng(盛利)^1,2,†

1 National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;
2 Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

收稿日期:2021-12-27 修回日期:2022-02-16 出版日期:2022-05-14 发布日期:2022-04-29
通讯作者: Li Sheng,E-mail:shengli@nju.edu.cn E-mail:shengli@nju.edu.cn
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant No.11974168)(L.S.).

Generalization of the theory of three-dimensional quantum Hall effect of Fermi arcs in Weyl semimetal

Mingqi Chang(苌名起)¹, Yunfeng Ge(葛云凤)¹, and Li Sheng(盛利)^1,2,†

1 National Laboratory of Solid State Microstructures and Department of Physics, Nanjing University, Nanjing 210093, China;
2 Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China

Received:2021-12-27 Revised:2022-02-16 Online:2022-05-14 Published:2022-04-29
Contact: Li Sheng,E-mail:shengli@nju.edu.cn E-mail:shengli@nju.edu.cn
About author:2022-3-10
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant No.11974168)(L.S.).

摘要/Abstract

摘要： The quantum Hall effect (QHE), which is usually observed in two-dimensional systems, was predicted theoretically and observed experimentally in three-dimensional (3D) topological semimetal. However, there are some inconsistencies between the theory and the experiments showing the theory is imperfect. Here, we generalize the theory of the 3D QHE of Fermi arcs in Weyl semimetal. Through calculating the sheet Hall conductivity of a Weyl semimetal slab, we show that the 3D QHE of Fermi arcs can occur in a large energy range and the thickness dependences of the QHE in different Fermi energies are distinct. When the Fermi energy is near the Weyl nodes, the Fermi arcs give rise to the QHE which is independent of the thickness of the slab. When the Fermi energy is not near the Weyl nodes, the two Fermi arcs form a complete Fermi loop with the assistance of bulk states giving rise to the QHE which is dependent on the sample thickness. We also demonstrate how the band anisotropic terms influence the QHE of Fermi arcs. Our theory complements the imperfections of the present theory of 3D QHE of Fermi arcs.

关键词: Weyl semimetal, three-dimensional quantum Hall effect, Fermi arcs

Abstract: The quantum Hall effect (QHE), which is usually observed in two-dimensional systems, was predicted theoretically and observed experimentally in three-dimensional (3D) topological semimetal. However, there are some inconsistencies between the theory and the experiments showing the theory is imperfect. Here, we generalize the theory of the 3D QHE of Fermi arcs in Weyl semimetal. Through calculating the sheet Hall conductivity of a Weyl semimetal slab, we show that the 3D QHE of Fermi arcs can occur in a large energy range and the thickness dependences of the QHE in different Fermi energies are distinct. When the Fermi energy is near the Weyl nodes, the Fermi arcs give rise to the QHE which is independent of the thickness of the slab. When the Fermi energy is not near the Weyl nodes, the two Fermi arcs form a complete Fermi loop with the assistance of bulk states giving rise to the QHE which is dependent on the sample thickness. We also demonstrate how the band anisotropic terms influence the QHE of Fermi arcs. Our theory complements the imperfections of the present theory of 3D QHE of Fermi arcs.

Key words: Weyl semimetal, three-dimensional quantum Hall effect, Fermi arcs

中图分类号: (Electronic transport in mesoscopic systems)

73.23.-b

73.50.-h (Electronic transport phenomena in thin films) 73.43.-f (Quantum Hall effects)

Mingqi Chang(苌名起), Yunfeng Ge(葛云凤), and Li Sheng(盛利). Generalization of the theory of three-dimensional quantum Hall effect of Fermi arcs in Weyl semimetal[J]. 中国物理B, 2022, 31(5): 57304-057304.

Mingqi Chang(苌名起), Yunfeng Ge(葛云凤), and Li Sheng(盛利). Generalization of the theory of three-dimensional quantum Hall effect of Fermi arcs in Weyl semimetal[J]. Chin. Phys. B, 2022, 31(5): 57304-057304.

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Generalization of the theory of three-dimensional quantum Hall effect of Fermi arcs in Weyl semimetal

Generalization of the theory of three-dimensional quantum Hall effect of Fermi arcs in Weyl semimetal

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