Electronic properties of disclinated flexible membrane beyond the inextensional limit: Application to graphene

Abstract

Gauge-theory approach to describe Dirac fermions on a disclinated flexible membrane beyond the inextensional limit is formulated. The elastic membrane is considered as an embedding of 2D surface into R^3. The disclination is incorporated through an SO(2) gauge vortex located at the origin, which results in a metric with a conical singularity. A smoothing of the conical singularity is accounted for by replacing a disclinated rigid plane membrane with a hyperboloid of near-zero curvature pierced at the tip by the SO(2) vortex. The embedding parameters are chosen to match the solution to the von Karman equations. A homogeneous part of that solution is shown to stabilize the theory. The modification of the Landau states and density of electronic states of the graphene membrane due to elasticity is discussed.

15 pages, Journal of Physics:Condensed Matter in press

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Cited by in corpus (8)

• Majorana Fermions and Disclinations in Topological Crystalline Superconductors
• Current density and conductivity through modified gravity in the graphene with defects
• Electronic Structure of Disclinated Graphene in an Uniform Magnetic Field
• On the propagation of Dirac fermions in graphene with the strain-induced inhomogeneous Fermi velocity
• Positive disclination in a thin elastic sheet with boundary
• Reduced quantum electrodynamics in curved space
• Boundary conditions and Green function approach of the spin-orbit interaction in the graphitic nanocone
• Electronic properties of disclinated nanostructured cylinder