• 文献标题:   Supersymmetry and unconventional quantum Hall effect in monolayer, bilayer and trilayer graphene
  • 文献类型:   Article, Proceedings Paper
  • 作  者:   EZAWA M
  • 作者关键词:   graphene, quantum hall effect, landau level, supersymmetry
  • 出版物名称:   PHYSICA ELOWDIMENSIONAL SYSTEMS NANOSTRUCTURES
  • ISSN:   1386-9477
  • 通讯作者地址:   Univ Tokyo
  • 被引频次:   31
  • DOI:   10.1016/j.physe.2007.06.038
  • 出版年:   2007

▎ 摘  要

We present a unified description of the quantum Hall effect in monolayer, bilayer and trilayer graphene based on the supersymmetric formalism. The key property is that the Zeeman splitting is exactly as large as the Landau level separation for Dirac electrons. It follows that the zero-energy state emerges and that the nonzero-energy states make a supermultiplet made of the up-spin and down-spin states coming from different Landau levels. Analyzing Coulomb effects on the nonzero-energy states, we derive a remarkable result that the effective Coulomb potential depends on spins in each energy level. (c) 2007 Elsevier B.V. All rights reserved.