Topological Vortices in Chiral Gauge Theory of Graphene

Details Topological Vortices in Chiral Gauge Theory of Graphene Topological Vortices in Chiral Gauge Theory of Graphene

2010-06-04

arxiv.org/abs/1006.0791v1

Ann. Phys. 325 (2010) 384-391

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages

Scientific paper

Generation mechanism of energy gaps between conductance and valence bands is at the centre of the study of graphene material. Recently Chamon, Jackiw, et al. proposed a mechanism of using a Kekul\'{e} distortion background field $% \varphi $ and its induced gauge potential $A_{i}$ to generate energy gaps. In this paper various vortex structures inhering in this model are studied. Regarding $\varphi $ as a generic background field rather than a fixed Nielson-Oleson type distribution, we have found two new types of vortices on the graphene surface --- the velocity field vortices and the monopole-motion induced vortices --- from the inner structure of the potential $A_{i}$. These vortex structures naturally arise from the motion of the Dirac fermions instead of from the background distortion field.

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