• 文献标题:   Integer quantum Hall effect in Kekule-patterned graphene
  • 文献类型:   Article
  • 作  者:   MOHAMMADI Y, BAHRAMI S
  • 作者关键词:   aaastacked trilayer graphene, integer quantum hall effect, kubo formula, hall conductivity
  • 出版物名称:   CHINESE PHYSICS B
  • ISSN:   1674-1056 EI 2058-3834
  • 通讯作者地址:  
  • 被引频次:   3
  • DOI:   10.1088/1674-1056/ac1b82
  • 出版年:   2022

▎ 摘  要

Y-shaped Kekule 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 Kekule-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 Kekule 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 +/- ne (2)/h for n = 2, 4, 6, 8, 10, horizontal ellipsis , 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 Kekule bond texture amplitude.