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

• Author(s): Rodrigues, J. N. B. ; Peres, N. M. R. ; Santos, J. M. B. Lopes dos
• Date: 2013
• Persistent ID: http://hdl.handle.net/1822/24612
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Graphene; Transport
• Document Type: Article
• Language: English

Description

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.