Effect of topological defects and Coulomb charge on the low energy quantum dynamics of gapped graphene
arXiv:1207.5705 · doi:10.1088/1751-8113/46/5/055303
Abstract
We study the combined effect of a conical topological defect and a Coulomb charge impurity on the dynamics of Dirac fermions in gapped graphene. Beyond a certain strength of the Coulomb charge, quantum instability sets in, which demarcates the boundary between sub and supercritical values of the charge. In the subcritical regime, for certain values of the system parameters, the allowed boundary conditions in gapped graphene cone can be classified in terms of a single real parameter. We show that the observables such as local density of states, scattering phase shifts and the bound state spectra are sensitive to the value of this real parameter, which is interesting from an empirical point of view. For a supercritical Coulomb charge, we analyze the system with a regularized potential as well as with a zigzag boundary condition and find the effect of the sample topology on the observable features of the system.
22 pages, 23 figures
References in corpus (33)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Energy Band Gap Engineering of Graphene Nanoribbons
- Chiral tunneling and the Klein paradox in graphene
- Substrate-induced band gap opening in epitaxial graphene
- Colloquium: The transport properties of graphene: An introduction
- Topological Defects in Graphene: Dislocations and Grain Boundaries
- Electron fractionalization in two-dimensional graphenelike structures
- The Coulomb impurity problem in graphene
- Vacuum Polarization and Screening of Supercritical Impurities in Graphene
- Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
- Effects of topological defects and local curvature on the electronic properties of planar graphene
- Atomic Collapse and Quasi-Rydberg States in Graphene
- Charge inhomogeneities due to smooth ripples in graphene sheets
- Chiral Gauge Theory for Graphene
- Origin of the energy bandgap in epitaxial graphene
- Supercritical Coulomb center and excitonic instability in graphene
- Supercritical Coulomb Impurities in Gapped Graphene
- Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene
- Geometric Phases in Graphitic Cones
- Graphene wormholes: A condensed matter illustration of Dirac fermions in curved space
- Electron fractionalization for two-dimensional Dirac fermions
- Geometrical and topological aspects of graphene and related materials
- Edge states, mass and spin gaps, and quantum Hall effect in graphene
- Magnetic field driven instability of charged center in graphene
- Crossover from Coulomb blockade to quantum Hall effect in suspended graphene nanoribbons
- Bound States in Graphene
- Persistence of zero modes in a gauged Dirac model for bilayer graphene
- Graphene with geometrically induced vorticity
- Bound States in Gapped Graphene with Impurities : Effective Low-Energy Description of Short-Range Interactions
- Effect of topology on the critical charge in graphene
- Scattering of charge carriers in graphene induced by topological defects
- Induced Current and Aharonov-Bohm Effect in Graphene
Cited by in corpus (4)
- Supercritical instability in graphene with two charged impurities
- Electron states in the field of charged impurities in two-dimensional Dirac systems
- Collapse of the vacuum in hexagonal graphene quantum dots: a comparative study between the tight-binding and the mean-field Hubbard models
- Boundary conditions and Green function approach of the spin-orbit interaction in the graphitic nanocone