Chiral Gauge Theory for Graphene Edge
arXiv:1003.5036 · doi:10.1103/PhysRevB.82.035421
Abstract
An effective-mass theory with a deformation-induced (an axial) gauge field is proposed as a theoretical framework to study graphene edge. Though the gauge field is singular at edge, it can represent the boundary condition and this framework is adopted to solve the scattering problems for the zigzag and armchair edges. Furthermore, we solve the scattering problem in the presence of a mass term and an electromagnetic field. It is shown that the mass term makes the standing wave at the Dirac point avoid the zigzag edge, by which the local density of states disappears, and the lowest and first Landau states are special near the zigzag edge. The (chiral) gauge theory framework provides a useful description of graphene edge.
15 pages, 4 figures
References in corpus (14)
- Electronic States of Graphene Nanoribbons
- Electron scattering on microscopic corrugations in graphene
- Electron fractionalization in two-dimensional graphenelike structures
- Energy gaps in etched graphene nanoribbons
- Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
- Chiral Gauge Theory for Graphene
- Gauge field for edge state in graphene
- Electron fractionalization for two-dimensional Dirac fermions
- Irrational vs. rational charge and statistics in two-dimensional quantum systems
- Chirality dependent frequency shift of radial breathing mode in metallic carbon nanotubes
- Kohn Anomaly in Raman Spectroscopy of Single Wall Carbon Nanotubes
- Nearly Perfect Single-Channel Conduction in Disordered Armchair Nanoribbons
- Magnetism as a mass term of the edge states in graphene
- Hamiltonian decomposition for bulk and surface states