Interaction effects on proximity-induced superconductivity in semiconducting nanowires

Abstract

We investigate the effect of electron-electron interactions on proximity-induced $s$-wave superconductivity in one-dimensional nanowires. We treat the interactions on a self-consistent mean-field level, and find an analytic expression for the effective pairing potential in the presence of interactions, valid for a weakly tunnel coupled wire. We show that for a set of two nanowires placed in parallel on a superconducting substrate, the interaction-induced reduction of the pairing energy could result in the effective interwire pairing potential exceeding the intrawire potential, which is one of the requirements for creating a time-reversal symmetric topological superconducting state in such a two-wire system.

7 pages, 1 figure

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Cited by in corpus (16)

• Coupling and braiding Majorana bound states in networks defined in proximitized two-dimensional electron gases
• No-go theorem for a time-reversal invariant topological phase in noninteracting systems coupled to conventional superconductors
• Destructive interference of direct and crossed Andreev pairing in a system of two nanowires coupled via an s-wave superconductor
• Interaction-driven topological superconductivity in one dimension
• Braiding properties of Majorana Kramers Pairs
• Highly tunable time-reversal-invariant topological superconductivity in topological insulator thin films
• Fractional chiral superconductors
• Phase-tunable Majorana bound states in a topological N-SNS junction
• Readout of parafermionic states by transport measurements
• Gapped triplet $p$-wave superconductivity in strong spin-orbit-coupled semiconductor quantum wells in proximity to $s$-wave superconductor
• Gapped superconductivity with all symmetries in InSb (110) quantum wells in proximity to s-wave superconductor in Fulde-Ferrell-Larkin-Ovchinnikov phase or with a supercurrent
• A novel superconducting-velocity--tunable quasiparticle state and spin relaxation in GaAs (100) quantum wells in proximity to $s$-wave superconductor
• Time-reversal-invariant topological superconductivity
• Spontaneous Josephson $\pi$ Junctions with Topological Superconductors
• Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
• Directional conductance of Andreev crystals in hybrid Josephson junction arrays