Electronic Structure of Disclinated Graphene in an Uniform Magnetic Field

TL;DR

This paper investigates how disclinations in graphene affect its electronic structure under a magnetic field, using a gauge field-theory model to analyze local density of states and Landau levels.

Contribution

It introduces a continuum gauge field-theory approach to model disclinations in graphene and examines their impact on electronic properties in a magnetic field.

Findings

Disclinations modify the local density of states near the Fermi energy.

Landau levels are affected by the presence of disclinations.

The model provides insights into defect-induced electronic behavior in graphene.

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.