Bound States and Supercriticality in Graphene-Based Topological Insulators
D. Kloepfer, A. De Martino, and R. Egger

TL;DR
This paper investigates the bound state spectrum and supercritical conditions in graphene topological insulators with strong spin-orbit interactions, providing explicit solutions for potential well and Coulomb center scenarios.
Contribution
It offers new analytical results for bound states and supercriticality in graphene topological insulators with complex spin-orbit coupling.
Findings
Bound states depend on potential well parameters.
Supercritical regime conditions are identified.
Explicit solutions for disk and Coulomb potentials.
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
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