Scattering by linear defects in graphene: a tight-binding approach
  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. 
J. N. B. Rodrigues, N. M. R. Peres, J. M. B. Lopes dos Santos
cond-mat.mes-hall cond-mat.dis-nn