• 文献标题:   Effect of torus-shape curved space on energy spectrum and magnetization of Dirac fermions in graphene
  • 文献类型:   Article
  • 作  者:   SHAHIN M, GOUDARZI H, LOTFIZADEH M
  • 作者关键词:   geometry of toru, dirac equation in curved space, heun s equation, landau level
  • 出版物名称:   PHYSICA SCRIPTA
  • ISSN:   0031-8949 EI 1402-4896
  • 通讯作者地址:   Urmia Univ
  • 被引频次:   0
  • DOI:   10.1088/1402-4896/ab6da3
  • 出版年:   2020

▎ 摘  要

In this paper, the dynamical properties of charge carriers in the two-dimensional atomic layer of graphene lattice with torus-shape geometry is studied in the presence of a gauge field. The curved space considerations involves Dirac equation along with a magnetic field for relativistic quasiparticles in graphene. By using the Heun's differential equation, we are able to analytically find discrete Landau levels of graphene in torus-like curved space. The magnetization of energy states is investigated.