On the defect induced gauge and Yukawa fields in graphene

Details On the defect induced gauge and Yukawa fields in graphene On the defect induced gauge and Yukawa fields in graphene

2010-12-24

arxiv.org/abs/1012.5354v2

Physics

Condensed Matter

Statistical Mechanics

21 pages, 2 figures, added the example of Stone-Wales defect, presentation considerable improved

Scientific paper

We consider lattice deformations (both continuous and topological) in the hexagonal lattice Hubbard model in the tight binding approximation to graphene, involving operators with the range up to next-to-neighbor. In the low energy limit, we find that these deformations give rise to couplings of the electronic Dirac field to an external scalar (Yukawa) and gauge fields. The fields are expressed in terms of original defects. As a by-product we establish that the next-to-nearest order is the minimal range of deformations which produces the complete gauge and scalar fields. We consider an example of Stone--Wales defect, and find the associated gauge field.

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