Pairing symmetry and vortex zero-mode for superconducting Dirac fermions

Abstract

We study the vortex zero-energy bound states in presence of pairing among the low-energy Dirac fermions on the surface of a topological insulator. The pairing symmetries considered include the $s$-wave, $p$-wave, and, in particular, the mixed-parity symmetry, which arises in absence of the inversion symmetry on the surface. The zero-mode is analyzed within the generalized Jackiw-Rossi-Dirac Hamiltonian that contains a momentum-dependent mass-term, and includes the effects of the electromagnetic gauge field and the Zeeman coupling as well. At a finite chemical potential, as long as the spectrum without the vortex is fully gapped, the presence of a single Fermi surface with a definite helicity always leads to one Majorana zero-mode, in which both electron's spin projections participate. In particular, the critical effects of the Zeeman coupling on the zero-mode are discussed.

Accepted version with new references and few more comments on symmetry classes

References in corpus (30)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological insulators and superconductors in three spatial dimensions
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Majorana fermions in a tunable semiconductor device
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Electron fractionalization in two-dimensional graphenelike structures
• Superconducting states of pure and doped graphene
• Unconventional superconductivity on a topological insulator
• Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
• Resonating valence bonds and mean-field d-wave superconductivity in graphite
• Topological spin-current in non-centrosymmetric superconductors
• Chiral Gauge Theory for Graphene
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Deconfined fractional electric charges in graphene at high magnetic fields
• Superconductivity on the surface of topological insulators and in two-dimensional noncentrosymmetric materials
• Near zero modes in condensate phases of the Dirac theory on the honeycomb lattice
• Topological insulator in the core of the superconducting vortex in graphene
• Vortices, zero modes and fractionalization in bilayer-graphene exciton condensate
• Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice
• The quantum valley Hall effect in proximity-induced superconducting graphene: an experimental window for deconfined quantum criticality
• Zero-energy vortex bound states in noncentrosymmetric superconductors
• Vortex Core States in Superconducting Graphene
• Zero-energy states of massive Dirac equation in magnetic fields
• Antilinear spectral symmetry and the vortex zero-modes in topological insulators and graphene
• Wavefunction topology of two-dimensional time-reversal symmetric superconductors

Cited by in corpus (11)

• Electron-hole pairing in topological insulator thin film
• Asymmetric spatial structure of zero modes for birefringent Dirac fermions
• Non-Abelian toplogical superconductors from topological semimetals and related systems under superconducting proximity effect
• $Z_2$ index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
• Supersymmetric Runge-Lenz-Pauli vector for Dirac vortex in topological insulators and graphene
• Evolution of edge states in topological superfluids during the quantum phase transition
• Triplet superconductivity in 3D Dirac semimetal due to exchange interaction
• Chiral universality class of the normal-superconducting and the exciton condensation transition on the surface of topological insulator
• Magnetic impurities make superconductivity in 3D Dirac semi-metal triplet
• Spectrum of the Vortex Bound States of the Dirac and Schrodinger Hamiltonian in the presence of Superconducting Gaps
• Emergence of triplet orbital pairing and non-Abelian states in ultracold multi-orbital optical lattices with quadratic band touching