Abstract

SADURNI, E.; RIVERA-MOCINOS, E.  and  ROSADO, A.. Discrete symmetry in graphene: the Dirac equation and beyond. Rev. mex. fis. [online]. 2015, vol.61, n.3, pp.170-181. ISSN 0035-001X.

In this paper we review the discrete symmetries of the Dirac equation using elementary tools, but in a comparative order: the usual 3 + 1 dimensional case and the 2 + 1 dimensional case. Motivated by new applications of the 2d Dirac equation in condensed matter (e.g. graphene), we further analyze the discrete symmetries of a full tight-binding model in hexagonal lattices without conical approximations. We touch upon an effective CPT symmetry breaking that occurs when deformations and second-neighbor corrections are considered.

Keywords : 2d Dirac equation; discrete symmetries; graphene; boron nitride.

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