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Gauge transformations of spin-orbit interactions in graphene

Author

Listed:
  • Bertrand Berche
  • Nelson Bolívar
  • Alexander López
  • Ernesto Medina

Abstract

Inclusion of spin-dependent interactions in graphene in the vicinity of the Dirac points can be posed in terms of non-Abelian gauge potentials. Such gauge potentials being surrogates of physical electric fields and material parameters, only enjoy a limited gauge freedom. A general gauge transformation thus changes the physical model. We argue that this property can be useful in connecting reference physical situations, such as free particle or Rashba interactions to non-trivial physical Hamiltonians with a new set of spin-orbit interactions, albeit constrained to being isoenergetic. We analyse different combinations of spin-orbit interactions in the case of monolayer graphene and show how they are related by means of selected non-Abelian gauge transformations. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Bertrand Berche & Nelson Bolívar & Alexander López & Ernesto Medina, 2015. "Gauge transformations of spin-orbit interactions in graphene," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(8), pages 1-6, August.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:8:p:1-6:10.1140/epjb/e2015-60257-4
    DOI: 10.1140/epjb/e2015-60257-4
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    Mesoscopic and Nanoscale Systems;

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