• 文献标题:   Coulomb interactions, Dirac sea polarization, and SU(4) symmetry breaking of the integer quantum Hall states of graphene
  • 文献类型:   Article
  • 作  者:   LUKOSE V, SHANKAR R
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:   Inst Math Sci
  • 被引频次:   5
  • DOI:   10.1103/PhysRevB.94.085135
  • 出版年:   2016

▎ 摘  要

We investigate effects of the filled Dirac sea on the SU(4) symmetry breaking for the integer quantum Hall states of graphene with long-ranged electrostatic Coulomb interactions. Our model also includes Hubbard and nearest-neighbor repulsive interactions with strengths U and V, respectively. We find the symmetry breaking of n = 0 Landau level is accompanied by an SU(4) polarization of the filled Dirac sea. We compute the phase diagram for filling factor v = 0,+/- 1 in the U-V space at magnetic fields relevant to experiments. The Dirac sea polarization significantly influences the phase diagram. It suppresses the Kekule ordering at v = 0 and induces it at v = +/- 1. We also calculate the excitation gaps at small tilted magnetic fields. This enables us to conclude that the ground state is a charge density wave at v = 0 and valley-spin polarized at v = +/- 1. We delineate a region in the U-V space consistent with the experiments.