English

Scattering by linear defects in graphene: a tight-binding approach

Mesoscale and Nanoscale Physics 2013-07-17 v2 Disordered Systems and Neural Networks

Abstract

We develop an analytical scattering formalism for computing the transmittance through periodic defect lines within the tight-binding model of graphene. We first illustrate the method with a relatively simple case, the pentagon-only defect line. Afterwards, more complex defect lines are treated, namely the zz(558) and the zz(5757) ones. The formalism developed, only uses simple tight-binding concepts, reducing the problem to matrix manipulations which can be easily worked out by any computational algebraic calculator.

Keywords

Cite

@article{arxiv.1210.8294,
  title  = {Scattering by linear defects in graphene: a tight-binding approach},
  author = {J. N. B. Rodrigues and N. M. R. Peres and J. M. B. Lopes dos Santos},
  journal= {arXiv preprint arXiv:1210.8294},
  year   = {2013}
}

Comments

36 pages, 15 figures

R2 v1 2026-06-21T22:30:45.892Z