• 文献标题:   Landau levels in graphene in the presence of emergent gravity
  • 文献类型:   Article
  • 作  者:   KHAIDUKOV ZV, ZUBKOV MA
  • 作者关键词:  
  • 出版物名称:   EUROPEAN PHYSICAL JOURNAL B
  • ISSN:   1434-6028 EI 1434-6036
  • 通讯作者地址:   Inst Theoret Expt Phys
  • 被引频次:   3
  • DOI:   10.1140/epjb/e2016-70182-7
  • 出版年:   2016

▎ 摘  要

We consider graphene in the presence of external magnetic field and elastic deformations that cause emergent magnetic field. The total magnetic field results in the appearance of Landau levels in the spectrum of quasiparticles. In addition, the quasiparticles in graphene experience the emergent gravity. We consider the particular choice of elastic deformation, which gives constant emergent magnetic field and vanishing torsion. Emergent gravity may be considered as perturbation. We demonstrate that the corresponding first order approximation affects the energies of the Landau levels only through the constant renormalization of Fermi velocity. The degeneracy of each Landau level receives correction, which depends essentially on the geometry of the sample. There is the limiting case of the considered elastic deformation, that corresponds to the uniformly stretched graphene. In this case in the presence of the external magnetic field the degeneracies of the Landau levels remain unchanged.