Analytic solution for Gauged Dirac-Weyl equation in $(2+1)$-dimensions

Abstract

A gauged Dirac-Weyl equation in (2+1)-dimension is considered. This equation has the particularity to describe the states of a graphene Dirac matter. In particular we are interested in matter interacting with a Chern-Simons gauge fields. We show that exact self-dual solutions are admitted. These solutions are the same as those supported by nonrelativistic matter interacting with a Chern-Simons gauge field.

arXiv comment12 pages, 1 figure

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Cited by in corpus (1)

• Zero energy mode for an electron in graphene in a perpendicular magnetic field with constant asymptotics