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

J. M. B. Lopes dos Santos; J. N. B. Rodrigues; N. M. R. Peres

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

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arxiv 1210.8294 v2 pith:D5BOLHRG submitted 2012-10-31 cond-mat.mes-hall cond-mat.dis-nn

J. N. B. Rodrigues , N. M. R. Peres , J. M. B. Lopes dos Santos This is my paper

classification cond-mat.mes-hallcond-mat.dis-nn

keywords defecttight-bindingformalismgraphenelinesscatteringsimpleafterwards

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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.

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