• 文献标题:   Shifted Landau levels in curved graphene sheets
  • 文献类型:   Article
  • 作  者:   DEBUS JD, MENDOZA M, HERRMANN HJ
  • 作者关键词:   graphene, landau level, curvature, quantum lattice boltzmann
  • 出版物名称:   JOURNAL OF PHYSICSCONDENSED MATTER
  • ISSN:   0953-8984 EI 1361-648X
  • 通讯作者地址:   Swiss Fed Inst Technol
  • 被引频次:   2
  • DOI:   10.1088/1361-648X/aadecd
  • 出版年:   2018

▎ 摘  要

We study the Landau levels in curved graphene sheets by measuring the discrete energy spectrum in the presence of a magnetic field. We observe that in rippled graphene sheets, the Landau energy levels satisfy the same square root dependence on the energy quantum number as in flat sheets, E-n similar to root n. Though, we find that the Landau levels in curved sheets are shifted towards lower energies by an amount proportional to the average spatial deformation of the sheet. Our findings are relevant for the quantum Hall effect in curved graphene sheets, which is directly related to Landau quantization. For the purpose of this study, we develop a new numerical method, based on the quantum lattice Boltzmann method, to solve the Dirac equation on curved manifolds, describing the low-energetic states in strained graphene sheets.