Bertrand Berche, Nelson Bolí var, Alexander López, Ernesto Medina
Published 2015-06-22Version 1
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 in general 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.
Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials
Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
Particles in non-Abelian gauge potentials - Landau problem and insertion of non-Abelian flux
![QR code for arXiv:1506.06571 [cond-mat.mes-hall]](http://oss.arxitics.com/images/favicon.svg)