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Scattering by linear defects in graphene : a tight-binding approach
Rodrigues, J. N. B.; Peres, N. M. R.; Santos, J. M. B. Lopes dosWe 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 t...
Thermodynamics of a Potts-like model for a reconstructed zigzag edge in graphen...
Rodrigues, J. N. B.; Gonçalves, P. A. D.; Santos, Jaime E.; Castro Neto, A. H.Versão 'draft' ; We construct a three-color Potts-like model for the graphene zigzag edge reconstructed with Stone-Wales carbon rings in order to study its thermal equilibrium properties. We consider two cases which have different ground states: the edge with nonpassivated dangling carbon bonds and the edge fully passivated with hydrogen. We study the concentration of defects perturbing the ground-state config...
Scattering by linear defects in graphene : a continuum approach
Rodrigues, J. N. B.; Peres, N. M. R.; Santos, J. M. B. Lopes dosWe study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitesimally thin stripes separating two regions where Dirac Hamiltonian governs the low-energy phenomena. The behavior of these systems is defined by the boundary condition imposed by the defect on the massless Dirac fermions. We demonstrate how this low-energy bo...
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