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 (17)

• The electronic properties of graphene
• 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
• Vacuum Polarization and Screening of Supercritical Impurities 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
• Supercritical Coulomb center and excitonic instability in graphene
• Supercritical Coulomb Impurities in Gapped Graphene
• 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