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.

arXiv commentPublished version, 9 pages + appendices, 8 figures

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Cited by in corpus (26)

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• Kramers pairs of Majorana corner states in a topological insulator bilayer
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• Majorana bound states in germanium Josephson junctions via phase control
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