Integer quantum Hall effect in Kekulé-patterned graphene

doi:10.1088/1674-1056/ac1b82

中国物理B ›› 2022, Vol. 31 ›› Issue (1): 17305-017305.doi: 10.1088/1674-1056/ac1b82

Integer quantum Hall effect in Kekulé-patterned graphene

Yawar Mohammadi^† and Samira Bahrami

Department of Physics, Farhangian University, Tehran, Iran

收稿日期:2021-03-16 修回日期:2021-07-15 接受日期:2021-08-07 出版日期:2021-12-03 发布日期:2021-12-18
通讯作者: Yawar Mohammadi E-mail:y.mohammadi@cfu.ac.ir
基金资助:
Project supported by the Farhangian University.

Integer quantum Hall effect in Kekulé-patterned graphene

Yawar Mohammadi^† and Samira Bahrami

Department of Physics, Farhangian University, Tehran, Iran

Received:2021-03-16 Revised:2021-07-15 Accepted:2021-08-07 Online:2021-12-03 Published:2021-12-18
Contact: Yawar Mohammadi E-mail:y.mohammadi@cfu.ac.ir
Supported by:
Project supported by the Farhangian University.

摘要/Abstract

摘要： Y-shaped Kekulé bond textures in a honeycomb lattice on a graphene-copper superlattice have recently been experimentally revealed. In this paper, the effects of such a bond modulation on the transport coefficients of Kekulé-patterned graphene are investigated in the presence of a perpendicular magnetic field. Analytical expressions are derived for the Hall and longitudinal conductivities using the Kubo formula. It is found that the Y-shaped Kekulé bond texture lifts the valley degeneracy of all Landau levels except that of the zero mode, leading to additional plateaus in the Hall conductivity accompanied by a split of the corresponding peaks in the longitudinal conductivity. Consequently, the Hall conductivity is quantized as ±ne²/h for n=2, 4, 6, 8, 10,..., excluding some plateaus that disappear due to the complete overlap of the Landau levels of different cones. These results also suggest that DC Hall conductivity measurements will allow us to determine the Kekulé bond texture amplitude.

关键词: AAA-stacked trilayer graphene, integer quantum Hall effect, Kubo formula, Hall conductivity

Abstract: Y-shaped Kekulé bond textures in a honeycomb lattice on a graphene-copper superlattice have recently been experimentally revealed. In this paper, the effects of such a bond modulation on the transport coefficients of Kekulé-patterned graphene are investigated in the presence of a perpendicular magnetic field. Analytical expressions are derived for the Hall and longitudinal conductivities using the Kubo formula. It is found that the Y-shaped Kekulé bond texture lifts the valley degeneracy of all Landau levels except that of the zero mode, leading to additional plateaus in the Hall conductivity accompanied by a split of the corresponding peaks in the longitudinal conductivity. Consequently, the Hall conductivity is quantized as ±ne²/h for n=2, 4, 6, 8, 10,..., excluding some plateaus that disappear due to the complete overlap of the Landau levels of different cones. These results also suggest that DC Hall conductivity measurements will allow us to determine the Kekulé bond texture amplitude.

Key words: AAA-stacked trilayer graphene, integer quantum Hall effect, Kubo formula, Hall conductivity

中图分类号: (Quantum Hall effects)

73.43.-f

72.80.Vp (Electronic transport in graphene)

Yawar Mohammadi and Samira Bahrami. Integer quantum Hall effect in Kekulé-patterned graphene[J]. 中国物理B, 2022, 31(1): 17305-017305.

Yawar Mohammadi and Samira Bahrami. Integer quantum Hall effect in Kekulé-patterned graphene[J]. Chin. Phys. B, 2022, 31(1): 17305-017305.

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Integer quantum Hall effect in Kekulé-patterned graphene

Integer quantum Hall effect in Kekulé-patterned graphene

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