Interaction-driven topological superconductivity in one dimension

Abstract

We study one-dimensional topological superconductivity in the presence of time-reversal symmetry. This phase is characterized by having a bulk gap, while supporting a Kramers' pair of zero-energy Majorana bound states at each of its ends. We present a general simple model which is driven into this topological phase in the presence of repulsive electron-electron interactions. We further propose two experimental setups and show that they realize this model at low energies. The first setup is a narrow two-dimensional topological insulator partially covered by a conventional s-wave superconductor, and the second is a semiconductor wire in proximity to an s-wave superconductor. These systems can therefore be used to realize and probe the time-reversal invariant topological superconducting phase. The effect of interactions is studied using both a mean-field approach and a renormalization group analysis.

Published version, 9 pages + appendices, 8 figures

References in corpus (20)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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 Ferromagnetic Atomic Chains on a Superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana edge states in interacting one-dimensional systems
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
• Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
• Local Adiabatic Mixing of Kramers Pairs of Majorana Bound States
• Topological Pair-Density-Wave Superconducting States
• Interaction effects on proximity-induced superconductivity in semiconducting nanowires

Cited by in corpus (26)

• Majorana bound states in semiconducting nanostructures
• Benefits of weak disorder in one dimensional topological superconductors
• Fermionized parafermions and symmetry-enriched Majorana modes
• Kramers pairs of Majorana corner states in a topological insulator bilayer
• Low-field Topological Threshold in Majorana Double Nanowires
• No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
• Fractional chiral superconductors
• Highly tunable time-reversal-invariant topological superconductivity in topological insulator thin films
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Entangled end states with fractionalized spin projection in a time-reversal-invariant topological superconducting wire
• Odd-parity superconductivity near inversion breaking quantum critical point in one dimension
• Majorana bound states in germanium Josephson junctions via phase control
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Proximity induced time-reversal topological superconductivity in Bi2Se3 films without phase tuning
• Transmission through a potential barrier in Luttinger liquids with a topological spin gap
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Electron correlation effects in superconducting nanowires in and out of equilibrium
• Spontaneous Josephson $\pi$ Junctions with Topological Superconductors
• Voltage-tunable Majorana bound states in time-reversal symmetric bilayer quantum spin Hall hybrid systems
• Exact analytical solution of a time-reversal-invariant topological superconducting wire
• Interaction- and phonon-induced topological phase transitions in double helical liquids
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions
• Solitons in a class of interacting scalar field theories without $SO(2)$ invariance
• Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
• Realizing Majorana Kramers pairs in two-channel InAs-Al nanowires with highly misaligned electric fields