Scattering by linear defects in graphene: A continuum approach

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Rodrigues, JNB (Author) Other; Peres, NMR (Author) Other; Lopes dos Santos, JMBL (Author) FCUP

Journal

Title: Physical Review B - Condensed Matter and Materials Physics

Vol. 86

ISSN: 1098-0121

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 20 Citations

Scopus - 22 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-002-2CX

DOI: 10.1103/physrevb.86.214206

Abstract (EN): We study the low-energy electronic transport across periodic extended defects in graphene. In the continuum low-energy limit, such defects act as infinitessimally thin stripes separating two regions where the 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 boundary condition can be computed from the tight-binding model of the defect line. For simplicity we consider defect lines oriented along the zigzag direction, which requires the consideration of only one copy of the Dirac equation. Three defect lines of this kind are studied and shown to be mappable between them: the pentagon-only, the zz(558), and the zz(5757) defect lines. In addition, in this same limit, we calculate the conductance across such defect lines with size L and find it to be proportional to k(F)L at low temperatures. DOI: 10.1103/PhysRevB.86.214206

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10