• 文献标题:   Landau levels in wrinkled and rippled graphene sheets
  • 文献类型:   Article
  • 作  者:   FLOURIS K, JIMENEZ MM, HERRMANN HJ
  • 作者关键词:   quantum lattice boltzmann, curved space, graphene, landau level
  • 出版物名称:   INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • ISSN:   0129-1831 EI 1793-6586
  • 通讯作者地址:   Swiss Fed Inst Technol
  • 被引频次:   0
  • DOI:   10.1142/S0129183119410067
  • 出版年:   2019

▎ 摘  要

We study the discrete energy spectrum of curved graphene sheets in the presence of a magnetic field. The shifting of the Landau levels is determined for complex and realistic geometries of curved graphene sheets. The energy levels follow a similar square root dependence on the energy quantum number as for rippled and flat graphene sheets. The Landau levels are shifted towards lower energies proportionally to the average deformation and the effect is larger compared to a simple uni-axially rippled geometry. Furthermore, the resistivity of wrinkled graphene sheets is calculated for different average space curvatures and shown to obey a linear relation. The study is carried out with a quantum lattice Boltzmann method, solving the Dirac equation on curved manifolds.