Vortex Core States in Superconducting Graphene
I.M.Khaymovich, N.B.Kopnin, A.S.Mel'nikov, I.A.Shereshevskii

TL;DR
This paper investigates the electronic structure of vortex states in superconducting graphene, focusing on how doping levels affect the subgap spectrum and the existence of zero energy modes, using Bogolubov-de Gennes theory.
Contribution
It provides a new scenario for subgap spectrum transformation in superconducting graphene based on doping levels and analyzes zero energy modes for various vorticities.
Findings
Doping level influences the subgap spectrum transformation.
Existence of zero energy modes depends on vorticity and doping.
Crossover to Caroli-de Gennes-Matricon spectrum is characterized.
Abstract
The distinctive features of the electronic structure of vortex states in superconducting graphene are studied within the Bogolubov-de Gennes theory applied to excitations near the Dirac point. We suggest a scenario describing the subgap spectrum transformation which occurs with a change in the doping level. For an arbitrary vorticity and doping level we investigate the problem of existence of zero energy modes. The crossover to a Caroli - de Gennes - Matricon type of spectrum is studied.
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