Kaluza-Klein description of geometric phases in graphene

Details Kaluza-Klein description of geometric phases in graphene Kaluza-Klein description of geometric phases in graphene

2011-11-03

arxiv.org/abs/1111.0836v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

15 pages

Scientific paper

In this paper, we use the Kaluza-Klein approach to describe topological defects in a graphene layer. Using this approach, we propose a geometric model allowing to discuss the quantum flux in $K$-spin subspace. Within this model, the graphene layer with a topological defect is described by a four-dimensional metric, where the deformation produced by the topological defect is introduced via the three-dimensional part of metric tensor, while non-Abelian gauge fields are introduced via an extra dimension. We use this new geometric model to discuss the arising of topological quantum phases in a graphene layer with a topological defect.

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