Gauge transformations of spin-orbit interactions in graphene

Bertrand Berche (), Nelson Bolívar, Alexander López and Ernesto Medina

The European Physical Journal B: Condensed Matter and Complex Systems, 2015, vol. 88, issue 8, 1-6

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

Keywords: Mesoscopic and Nanoscale Systems (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1140/epjb/e2015-60257-4

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