Electronic Structure of Disclinated Graphene in an Uniform Magnetic Field

Abstract

The electronic structure in the vicinity of the 1-heptagonal and 1-pentagonal defects in the carbon graphene plane is investigated. Using a continuum gauge field-theory model the local density of states around the Fermi energy is calculated for both cases. In this model, the disclination is represented by an SO(2) gauge vortex and corresponding metric follows from the elasticity properties of the graphene membrane. To enhance the interval of energies, a self-consistent perturbation scheme is used. The Landau states are investigated and compared with the predicted values.

keywords: graphene, heptagonal defect, elasticity, carbon nanohorns, 13 pages

References in corpus (3)

• Landau level spectra and the quantum Hall effect of multilayer graphene
• Intrinsic Zeeman Effect in Graphene
• Dirac fermions on a disclinated flexible surface

Cited by in corpus (7)

• Electronic Properties of Carbon Nanostructures
• Analogies in electronic properties of graphene wormhole and perturbed nanocylinder
• Electronic states of zigzag graphene nanoribbons with edges reconstructed with topological defects
• Dirac-Weyl equation on a hyperbolic graphene surface under perpendicular magnetic fields
• Boundary conditions and Green function approach of the spin-orbit interaction in the graphitic nanocone
• Green Function Approach for Calculation of the Local Density of States in the Graphitic Nanocone
• Electronic properties of disclinated nanostructured cylinder