• 文献标题:   Parallel transport of electrons in graphene parallels gravity
  • 文献类型:   Article
  • 作  者:   MESAROS A, SADRI D, ZAANEN J
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Leiden Univ
  • 被引频次:   30
  • DOI:   10.1103/PhysRevB.82.073405
  • 出版年:   2010

▎ 摘  要

Geometrically a crystal containing dislocations and disclinations can be envisaged as a "fixed frame" Cartan-Einstein space-time carrying torsion and curvature, respectively. We demonstrate that electrons in defected graphene are transported in the same way as fundamental Dirac fermions in a nontrivial 2+ 1-dimensional space-time, with the proviso that the graphene electrons remember the lattice constant through the valley quantum numbers. The extra "valley holonomy" corresponds to modified Euclidean symmetry generators.