Vortex core states in superconducting graphene

I. M. Khaymovich; N. B. Kopnin; A. S. Mel’nikov; I. A. Shereshevskii

doi:10.1103/PhysRevB.79.224506

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Vortex core states in superconducting graphene

I. M. Khaymovich, N. B. Kopnin, A. S. Mel’nikov, I. A. Shereshevskii

DOI 10.1103/PhysRevB.79.224506 · Physical Review B

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Abstract

The electronic structure of vortex states in superconducting graphene is studied within the Bogoliubov–de Gennes theory applied to excitations near the Dirac point. We consider the subgap spectrum transformations which occur 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. Results of numerical computations are reported that illustrate the behavior of the spectrum with a change in the doping level.