Topological insulator in the core of the superconducting vortex in graphene
arXiv:0909.4231 · doi:10.1103/PhysRevLett.104.066404
Abstract
The core of the vortex in a general superconducting order parameter in graphene is argued to be ordered, with the possible order parameters forming the algebra U(1) X Cl(3), where Cl(3) is the three dimensional Clifford algebra. A sufficiently strong Zeeman coupling of the magnetic field of the vortex to the electron spin breaks the degeneracy in the core in favor of the anomalous quantum Hall state. I consider a variety of superconducting condensates on the honeycomb lattice and demonstrate the surprising universality of this result. A way to experimentally determine the outcome of the possible competition between different types of orders in the core is proposed.
Four revtex pages. New discussion on competition between core orders, extension to finite-T added, typos corrected, new references, streamlined presentation. Published version
References in corpus (13)
- Bipolar supercurrent in graphene
- Specular Andreev reflection in graphene
- Topological Mott Insulators
- Interactions and phase transitions on graphene's honeycomb lattice
- Electron fractionalization in two-dimensional graphenelike structures
- Theory of interacting electrons on the honeycomb lattice
- Density waves and Cooper pairing on the honeycomb lattice
- Chiral Gauge Theory for Graphene
- BCS-BEC crossover on the two-dimensional honeycomb lattice
- Proximity Induced Superconductivity and Multiple Andreev Reflections in Few-Layer-Graphene
- Near zero modes in condensate phases of the Dirac theory on the honeycomb lattice
- Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
- Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice
Cited by in corpus (36)
- Electron-Electron Interactions in Graphene: Current Status and Perspectives
- Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
- Vortices and Other Topological Solitons in Dense Quark Matter
- Quantum superconducting criticality in graphene and topological insulators
- Strain-induced time-reversal odd superconductivity in graphene
- Isospin of topological defects in Dirac systems
- Bound states of massive fermions in the Aharonov--Bohm-like fields
- Index theorem and Majorana zero modes along a non-Abelian vortex in a color superconductor
- Odd momentum pairing and superconductivity in vertical graphene heterostructures
- Zero modes and charged Skyrmions in graphene bilayer
- Creation of planar charged fermions in Coulomb and Aharonov-Bohm potentials
- Zero-energy states of massive Dirac equation in magnetic fields
- Polarization operator in the 2+1 dimensional quantum electrodynamics with a nonzero fermion density in a constant uniform magnetic field
- Magnetic field induced inequivalent vortex zero modes in strained 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
- Time reversal, fermion doubling, and the masses of lattice Dirac fermions in three dimensions
- Majorana zero modes bound to a vortex line in a topological superconductor
- Pairing symmetry and vortex zero-mode for superconducting Dirac fermions
- Z index theorem for Majorana zero modes in a class D topological superconductor
- 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
- Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. I. Vacuum charge density
- Topological defects of Néel order and Kondo singlet formation for Kondo-Heisenberg model on a honeycomb lattice
- Planar massless fermions in Coulomb and Aharonov-Bohm potentials
- Plane density of induced vacuum charge in a supercritical Coulomb potential
- Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. II. Vacuum energy
- Vacuum polarization of charged massless fermions in Coulomb and Aharonov--Bohm fields
- Conserved charges of order-parameter textures in Dirac systems
- Effect of vacuum polarization of charged massive fermions in an Aharonov--Bohm field
- Zero modes of the generalized fermion-vortex system in magnetic field
- Chiral d-wave superconducting state in the core of a doubly quantized s-wave vortex in graphene
- SO(4) multicriticality of two-dimensional Dirac fermions
- Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
- Half vortex and fractional electrical charge in two dimensions
- Zero modes and index theorems for non-Hermitian Dirac fermions