• 文献标题:   Graphene, Dirac equation and analogue gravity
  • 文献类型:   Article
  • 作  者:   GALLERATI A
  • 作者关键词:   curved space dirac equation, graphene, analogue gravity, optical conductivity
  • 出版物名称:   PHYSICA SCRIPTA
  • ISSN:   0031-8949 EI 1402-4896
  • 通讯作者地址:  
  • 被引频次:   3
  • DOI:   10.1088/1402-4896/ac6d22
  • 出版年:   2022

▎ 摘  要

We provide an updated study of some electronic properties of graphene nanoscrolls, exploiting a related curved space Dirac equation for the charge carriers. To this end, we consider an explicit parametrization in cylindrical coordinates, together with analytical solutions for the pseudoparticle modes living on the two-dimensional background. These results are then used to obtain a compact expression for the sample optical conductivity, deriving from a Kubo formula adapted to the 1 + 2 dimensional curved space. The latter formulation is then adopted to perform some simulations for a cylindrical nanoscroll geometry.