Time-Reversal Invariant Topological Superconductivity Induced by Repulsive Interactions in Quantum Wires

Abstract

We consider a model for a one-dimensional quantum wire with Rashba spin-orbit coupling and repulsive interactions, proximity coupled to a conventional s-wave superconductor. Using a combination of Hartree-Fock and density matrix renormalization group calculations, we show that for sufficiently strong interactions in the wire, a time-reversal invariant topological superconducting phase can be stabilized in the absence of an external magnetic field. This phase supports two zero-energy Majorana bound states at each end, which are protected by time-reversal symmetry. The mechanism for the formation of this phase is a reversal of the sign of the effective pair potential in the wire, due to the repulsive interactions. We calculate the differential conductance into the wire and its dependence on an applied magnetic field using the scattering-matrix formalism. The behavior of the zero-bias anomaly as a function of the field direction can serve as a distinct experimental signature of the topological phase.

4 pages + supplementary material

References in corpus (13)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Classification of topological insulators and superconductors in three spatial dimensions
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• Majorana bound states in two-channel time-reversal-symmetric nanowire systems
• To close or not to close: the fate of the superconducting gap across the topological quantum phase transition in Majorana-carrying semiconductor nanowires
• Topological invariant for generic 1D time reversal symmetric superconductors in class DIII
• Majorana edge modes of topological exciton condensate with superconductors

Cited by in corpus (86)

• Majorana corner modes in a high-temperature platform
• High-Temperature Majorana Corner States
• Majorana Kramers pairs in higher-order topological insulators
• Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Majorana nanowires for topological quantum computation
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Many-body characterization of topological superconductivity: The Richardson-Gaudin-Kitaev chain
• Proximity-induced Josephson $\pi$-Junctions in Topological Insulators
• Majorana bound states in semiconducting nanostructures
• Theory of time reversal topological superconductivity in double Rashba wires -- symmetries of Cooper pair and Andreev bound states
• Parity-controlled $2\pi$ Josephson effect mediated by Majorana Kramers pairs
• Magnetic Field Response and Chiral Symmetry of Time Reversal Invariant Topological Superconductors
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Helical Liquids in Semiconductors
• Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
• Fermionized parafermions and symmetry-enriched Majorana modes
• Kramers pairs of Majorana corner states in a topological insulator bilayer
• Transport signatures of an Andreev molecule in a quantum dot -- superconductor -- quantum dot setup
• Observation of nonlocal Josephson effect on double InAs nanowires
• Fractional spin and Josephson effect in time-reversal-invariant topological superconductors
• Symmetry-protected non-Abelian braiding of Majorana Kramers' pairs
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• Boundary Green's function approach for spinful single-channel and multichannel Majorana nanowires
• No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
• Unconventional proximity-induced superconductivity in bilayer systems
• Destructive interference of direct and crossed Andreev pairing in a system of two nanowires coupled via an s-wave superconductor
• Quantum Computing with Majorana Kramers Pairs
• DIII Topological Superconductivity with Emergent Time-Reversal Symmetry
• What is a particle-conserving Topological Superfluid?
• Interaction-driven topological superconductivity in one dimension
• Nodal Andreev Spectra in Multi-Majorana Three-Terminal Josephson Junctions
• Local Adiabatic Mixing of Kramers Pairs of Majorana Bound States
• Braiding properties of Majorana Kramers Pairs
• Topological superconductivity in Rashba semiconductors without a Zeeman field
• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Highly tunable time-reversal-invariant topological superconductivity in topological insulator thin films
• Fractional chiral superconductors
• Exceptional points for chiral Majorana fermions in arbitrary dimensions
• Topological superconductivity in carbon nanotubes with a small magnetic flux
• Interaction effects on proximity-induced superconductivity in semiconducting nanowires
• Topological Majorana Two-Channel Kondo Effect
• Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Boundary Topological Superconductors
• Odd-parity superconductivity near inversion breaking quantum critical point in one dimension
• Luttinger liquid in contact with a Kramers pair of Majorana bound states
• Impact of topology on the impurity effects in extended $s$-wave superconductors with spin-orbit coupling
• Majorana bound states in germanium Josephson junctions via phase control
• Gapped triplet $p$-wave superconductivity in strong spin-orbit-coupled semiconductor quantum wells in proximity to $s$-wave superconductor
• Synthesizing Majorana zero-energy modes in a periodically gated quantum wire
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Friedel oscillations and Majorana zero modes in inhomogeneous superconductors
• Theory of Multi-Orbital Topological Superconductivity in Transition Metal Dichalcogenides
• Proximity induced time-reversal topological superconductivity in Bi2Se3 films without phase tuning
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Solitonic in-gap modes in a superconductor-quantum antiferromagnet interface
• Topological superconductor with a large Chern number and a large bulk excitation gap in single layer graphene
• Helical Majorana fermions at the interface of Weyl semimetal and d-wave superconductor: Application to Iridates and high-Tc Cuprates
• Electron pairing induced by repulsive interactions in tunable one-dimensional platforms
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Electron correlation effects in superconducting nanowires in and out of equilibrium
• Time-Reversal Invariant Topological Superconductivity in Planar Josephson Bijunction
• Electron-Tunneling-Assisted Non-Abelian Braiding of Rotating Majorana Bound States
• Spontaneous Josephson $\pi$ Junctions with Topological Superconductors
• Photo-induced SU(3) topological material of spinless fermions
• Symmetry-breaking signatures of multiple Majorana zero modes in one-dimensional spin-triplet superconductors
• Counting Majorana bound states using complex momenta
• Topology from Triviality
• Noncentrosymmetric superconductors in one dimension
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• Equivalence of topological mirror and chiral superconductivity in one dimension
• 1D topological chains with Majorana fermions in 2D non-topological optical lattices
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Many-body Majorana-like zero modes without gauge symmetry breaking
• Jackiw-Rebbi-type bound state carrying fractional fermion parity
• Stability of the boundary zero modes in one-dimensional topological superconductors
• Topological phase transitions in superconductors with chiral symmetry
• A simple electronic ladder model harboring ${\mathbb{Z}}_4$ parafermions
• Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
• Fermi-surface diagnosis for topological superconductivity with $s$-wave-like pairing symmetries
• Engineering Majorana Kramers Pairs In Synthetic High Spin Chern Insulators
• Realizing Majorana Kramers pairs in two-channel InAs-Al nanowires with highly misaligned electric fields
• Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction