On the defect induced gauge and Yukawa fields in graphene

TL;DR

This paper investigates how lattice deformations in graphene induce gauge and Yukawa fields, revealing that next-to-nearest neighbor interactions are essential for complete field generation, exemplified by the Stone–Wales defect.

Contribution

It demonstrates that lattice defects in graphene generate gauge and scalar fields through deformations, with next-to-nearest neighbor interactions being crucial for their complete description.

Findings

Deformations induce gauge and Yukawa fields in graphene.

Next-to-nearest neighbor interactions are minimal for complete field generation.

Stone–Wales defect produces a specific gauge field.

Abstract

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.