Majorana modes in time-reversal invariant s-wave topological superconductors

Abstract

We present a time-reversal invariant s-wave superconductor supporting Majorana edge modes. The multi-band character of the model together with spin-orbit coupling are key to realizing such a topological superconductor. We characterize the topological phase diagram by using a partial Chern number sum, and show that the latter is physically related to the parity of the fermion number of the time-reversal invariant modes. By taking the self-consistency constraint on the s-wave pairing gap into account, we also establish the possibility of a direct topological superconductor-to-topological insulator quantum phase transition.

published version

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Proximity effect at the superconductor - topological insulator interface
• Evidence for complex order parameter in La_{1.83}Sr_{0.17}CuO_4
• Topological superfluids on a lattice with non-Abelian gauge fields

Cited by in corpus (88)

• New directions in the pursuit of Majorana fermions in solid state systems
• Search for Majorana fermions in superconductors
• Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
• Topological Mirror Superconductivity
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
• Inducing time reversal invariant topological superconductivity and fermion parity pumping in quantum wires
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Topological superconductivity and unconventional pairing in oxide interfaces
• Time-Reversal Invariant Topological Superconductivity Induced by Repulsive Interactions in Quantum Wires
• Majorana bound states in two-channel time-reversal-symmetric nanowire systems
• Majorana Fermions in Chiral Topological Ferromagnetic Nanowires
• Non-Abelian Majorana Doublets in Time-Reversal Invariant Topological Superconductor
• A generalization of Bloch's theorem for arbitrary boundary conditions: Theory
• Fock Parafermions and Self-Dual Representations of the Braid Group
• Arbitrary Dimensional Majorana Dualities and Network Architectures for Topological Matter
• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Exact Solution of Quadratic Fermionic Hamiltonians for Arbitrary Boundary Conditions
• Band hybridization induced odd-frequency pairing in multiband superconductors
• Magnetic Field Response and Chiral Symmetry of Time Reversal Invariant Topological Superconductors
• Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
• Topological Properties of Time Reversal Symmetric Kitaev Chain and Applications to Organic Superconductors
• Exact zero modes in twisted Kitaev chains
• Fractional spin and Josephson effect in time-reversal-invariant topological superconductors
• Squaring the fermion: The threefold way and the fate of zero modes
• No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
• Unconventional proximity-induced superconductivity in bilayer systems
• Boundary Green's function approach for spinful single-channel and multichannel Majorana nanowires
• Generalization of Bloch's theorem for arbitrary boundary conditions: Interfaces and topological surface band structure
• Majorana Flat Bands in s-Wave Gapless Topological Superconductors
• Multiband s-wave topological superconductors: role of dimensionality and magnetic field response
• Coulomb interaction effects on the Majorana states in quantum wires
• Interaction-driven topological superconductivity in one dimension
• Braiding properties of Majorana Kramers Pairs
• Local Adiabatic Mixing of Kramers Pairs of Majorana Bound States
• Highly tunable time-reversal-invariant topological superconductivity in topological insulator thin films
• Topological superconductivity in Rashba semiconductors without a Zeeman field
• Interaction effects on proximity-induced superconductivity in semiconducting nanowires
• Quantum oscillations and a non-trivial Berry phase in the noncentrosymmetric superconductor BiPd
• Topological properties of multilayers and surface steps in the SnTe material class
• Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
• Majorana edge modes of topological exciton condensate with superconductors
• Boundary Topological Superconductors
• Evidence for Unconventional Superconductivity and Nontrivial Topology in PdTe
• Time-reversal invariant topological superfluids in Bose-Fermi mixtures
• Rashba Sandwiches with Topological Superconducting Phases
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Dynamical generation of Floquet Majorana flat bands in s-wave superconductors
• Synthesizing Majorana zero-energy modes in a periodically gated quantum wire
• Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
• Majorana Doublets, Flat Bands, and Dirac Nodes in s-Wave Superfluids
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Multipolar superconductivity in Luttinger semimetals
• Time-reversal-invariant topological superconductivity
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Hidden Symmetry Decoupling of Majorana Fermions
• Time-Reversal Invariant Topological Superconductivity in Planar Josephson Bijunction
• Majorana fermions in topological insulator nanowires: from single superconducting nanowires to Josephson junctions
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• SPT 2-Channel Kondo Model in the Structure of Normal Metal/Quantum Dot/DIII-class Topological Superconductor
• Effective Hamiltonian with tunable mixed pairing in driven optical lattices
• Control of Edge Currents at a Ferromagnet - Triplet Superconductor Interface by Multiple Helical Majorana Modes
• Chiral to helical Majorana fermion transition in a $p$-wave superconductor
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Topology from Triviality
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• RKKY interaction at helical edges of topological superconductors
• Equivalence of topological mirror and chiral superconductivity in one dimension
• Topological Superfluid in one-dimensional Ultracold Atomic System with Spin-Orbit Coupling
• Conductance asymmetry in proximitized magnetic topological insulator junctions with Majorana modes
• Higher first Chern numbers in one dimensional Bose-Fermi mixtures
• Inducing ${\mathbb{Z}}_2$ Topology in Twisted Nodal Superconductors
• Fermi Surface Topology and Magneto-transport Properties of Superconducting Pd${}_3$Bi${}_2$Se${}_2$
• Designing ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ topological orders in networks of Majorana bound states
• Majorana edge states and topological properties in 1D/2D Rashba semiconductor proximity coupled to iron-based superconductor
• Fermi-surface diagnosis for topological superconductivity with $s$-wave-like pairing symmetries
• Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
• Phase Diagram of a Spin-Orbit Coupled Fermi Gases in a Bilayer Optical Lattice
• Robust quantized thermal conductance of Majorana floating edge bands in d-wave superconductors
• Interacting Majorana fermions in strained nodal superconductors
• Realizing Majorana Kramers pairs in two-channel InAs-Al nanowires with highly misaligned electric fields
• Superconductivity in centrosymmetric topological superconductor candidate TaC
• Topological superconductivity and fractional Josephson effect in quasi-one dimensional wires on a plane
• Changes of Kondo effect in the junction with DIII-class topological and $s$-wave superconductors