Scattering by linear defects in graphene: a continuum approach

Abstract

We 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 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 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_FL at low temperatures.

Major revision relative to version v1; http://prb.aps.org/abstract/PRB/v86/i21/e214206

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Cited by in corpus (15)

• Effect of charged line defects on conductivity in graphene: numerical Kubo and analytical Boltzmann approaches
• Topological Aspects of Charge-Carrier Transmission across Grain Boundaries in Graphene
• Electronic transport across linear defects in graphene
• Generation of a fully valley-polarized current in bulk graphene
• Electron interaction, charging and screening in grain boundaries in graphene
• Scattering by linear defects in graphene: a tight-binding approach
• Two-dimensional Dirac operators with general $\delta$-shell interactions supported on a straight line
• Valley filtering by a line-defect in graphene: quantum interference and inversion of the filter effect
• Intervalley scattering of graphene massless Dirac fermions at 3-periodic grain boundaries
• Zero Modes on Zero-Angle Grain Boundaries in Graphene
• Probing barrier transmission in ballistic graphene
• Valley to charge current conversion in graphene grain boundaries
• Scattering of a Dirac particle by a Berry phase domain wall
• Thermodefect voltage in graphene nanoribbon junctions
• Quantum geometric scattering of a Dirac particle by a Berry curvature domain wall