2015/06/22 by Bertrand Berche, Nelson Bolívar, Nelson Bolí var +2
Materials Science · Mathematics · Physics and Astronomy · #Abelian group #Classical mechanics #Gauge (firearms) #Gauge boson #Gauge fixing #Gauge theory #Graphene #Graphene research and applications #Hamiltonian lattice gauge theory #Introduction to gauge theory #Materials science #Mathematics #Orbit (dynamics) #Physics #Pure mathematics #Quantum and electron transport phenomena #Quantum gauge theory #Quantum mechanics #Spin (aerodynamics) #Supersymmetric gauge theory #Theoretical physics #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1140/epjb/e2015-60257-4
published as Eur. Phys. J. B 88 (2015) 198
arxiv created 2015/06/22 · openalex publication_date 2015/08/01 · arxiv updated 2015/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.