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

摘要

A gauged Dirac-Weyl equation in (2+ 1)-dimensions 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 field. 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. Copyright (C) EPLA, 2017