Vortex Core States in Superconducting Graphene

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.

4 pages, 2 figures

References in corpus (12)

• The electronic properties of graphene
• Andreev reflection and Klein tunneling in graphene
• Specular Andreev reflection in graphene
• Superconducting states of pure and doped graphene
• Density waves and Cooper pairing on the honeycomb lattice
• Resonating valence bonds and mean-field d-wave superconductivity in graphite
• BCS superconductivity of Dirac electrons in graphene layers
• Excitation gap of a graphene channel with superconducting boundaries
• Intrinsic Superconductivity at 25 K in Highly Oriented Pyrolytic Graphite
• Vortices, zero modes and fractionalization in bilayer-graphene exciton condensate
• Ferromagnetism and Superconductivity in Carbon-Based Systems
• Midgap spectrum of the fermion-vortex system

Cited by in corpus (23)

• Electron-Electron Interactions in Graphene: Current Status and Perspectives
• Dirac materials
• Observation of half-integer level shift of vortex bound states in an iron-based superconductor
• Anomalous Josephson current via Majorana bound states in topological insulators
• Tunable vortex Majorana zero modes in LiFeAs superconductor
• Superconductivity on the surface of topological insulators and in two-dimensional noncentrosymmetric materials
• Topological Majorana and Dirac zero modes in superconducting vortex cores
• Tunneling spectrum of a pinned vortex with a robust Majorana state
• Emergent vortex Majorana zero mode in iron-based superconductors
• Supercurrent in superconducting graphene
• Antilinear spectral symmetry and the vortex zero-modes in topological insulators and graphene
• Spectrum of the Dirac Hamiltonian with the mass-hedgehog in arbitrary dimension
• Pairing symmetry and vortex zero-mode for superconducting Dirac fermions
• Supersymmetric Runge-Lenz-Pauli vector for Dirac vortex in topological insulators and graphene
• Revealing the Microscopic Mechanism of Elementary Vortex Pinning in Superconductors
• Multiple Vortex Cores in 2D Electronic Systems with Proximity Induced Superconductivity
• Identifying Majorana vortex modes via non-local transport
• Vortex matter in low dimensional systems with proximity induced superconductivity
• Chiral d-wave superconducting state in the core of a doubly quantized s-wave vortex in graphene
• Gapless vortex bound states in superconducting topological semimetals
• Bound fermion states in pinned vortices in the surface states of a superconducting topological insulator: The Majorana bound state
• Zero-energy modes, fractional fermion numbers and the index theorem in a vortex-Dirac fermion system
• Hard superconducting gap and vortex-state spectroscopy in NbSe${}_2$ van der Waals tunnel junctions