• 文献标题:   Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene
  • 文献类型:   Article, Proceedings Paper
  • 作  者:   GORBAR EV, GUSYNIN VP, MIRANSKY VA, SHOVKOVY IA
  • 作者关键词:  
  • 出版物名称:   PHYSICA SCRIPTA
  • ISSN:   0031-8949 EI 1402-4896
  • 通讯作者地址:   Bogolyubov Inst Theoret Phys
  • 被引频次:   20
  • DOI:   10.1088/0031-8949/2012/T146/014018
  • 出版年:   2012

▎ 摘  要

The dynamics of symmetry breaking responsible for lifting the degeneracy of the Landau levels (LLs) in the integer quantum Hall (QH) effect in graphene is studied in a low-energy model with the Coulomb interaction. The gap equation for Dirac quasiparticles is analyzed for both the lowest and higher LLs, taking into account the LL mixing. It is shown that the characteristic feature of the long-range Coulomb interaction is the dependence of the gap parameters on the LL index n ('running' gaps). The renormalization (running) of the Fermi velocity as a function of n is also studied. The solutions of the gap equation reproduce correctly the experimentally observed integer QH plateaus in graphene in strong magnetic fields.