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

A gauged Dirac-Weyl equation in -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 solution...

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Bibliographic Details
Published in:	Europhysics letters Vol. 118; no. 2; pp. 21001 - 21005
Main Authors:	Ardenghi, Juan Sebastián, Juan, Alfredo, Escudero, Federico, Sourrouille, Lucas
Format:	Journal Article
Language:	English
Published:	Les Ulis EDP Sciences, IOP Publishing and Società Italiana di Fisica 01-04-2017 IOP Publishing
Subjects:	11.10.Kk 11.15.Yc 81.05.ue Exact solutions Graphene
Online Access:	Get full text
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Summary:	A gauged Dirac-Weyl equation in -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.
Bibliography:	ark:/67375/80W-Q68VFZH8-D publisher-ID:epl18543 istex:34EDB1E30577B0D428953FA610E47FA58191B2CB
ISSN:	0295-5075 1286-4854
DOI:	10.1209/0295-5075/118/21001