Bound States and Supercriticality in Graphene-Based Topological Insulators

Abstract

We study the bound state spectrum and the conditions for entering a supercritical regime in graphene with strong intrinsic and Rashba spin-orbit interactions within the topological insulator phase. Explicit results are provided for a disk-shaped potential well and for the Coulomb center problem

14 pages, 4 figures, to appear in Crystals, special issue on Graphenes

References in corpus (27)

• The electronic properties of graphene
• Topological Insulators
• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Spin-orbit gap of graphene: First-principles calculations
• The Coulomb impurity problem in graphene
• Spin-Orbit-Mediated Spin Relaxation in Graphene
• Vacuum Polarization and Screening of Supercritical Impurities in Graphene
• Graphene with Structure-Induced Spin-Orbit Coupling: Spin-Polarized States, Spin Zero Modes, and Quantum Hall Effect
• Elastic scattering theory and transport in graphene
• Atomic Collapse and Quasi-Rydberg States in Graphene
• Nonlinear screening of charge impurities in graphene
• Electrostatic confinement of electrons in an integrable graphene quantum dot
• Screening of a hypercritical charge in graphene
• Mapping Dirac Quasiparticles near a Single Coulomb Impurity on Graphene
• Supercritical Coulomb center and excitonic instability in graphene
• Supercritical Coulomb Impurities in Gapped Graphene
• Stabilizing topological phases in graphene via random adsorption
• Screening of Coulomb Impurities in Graphene
• Coulomb impurity in graphene
• Spin-resolved scattering through spin-orbit nanostructures in graphene
• Trigonal warping and anisotropic band splitting in monolayer graphene due to Rashba spin-orbit coupling
• Magnetic field driven instability of charged center in graphene
• Landau levels, edge states, and strained magnetic waveguides in graphene monolayers with enhanced spin-orbit interaction
• Tunable thermopower in a graphene-based topological insulator
• Dirac-Weyl electrons in a periodic spin-orbit potential

Cited by in corpus (6)

• Electric dipole induced universality for Dirac fermions in graphene
• Evolution of Landau levels in graphene-based topological insulators in the presence of wedge disclinations
• Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities
• Graphene-based topological insulator in the presence of a disclination submitted to a uniform magnetic field
• Coulomb impurities in graphene driven by fast ions
• Coulomb impurities in graphene driven by ultrashort electromagnetic pulses: Excitation, ionization, and pair creation