Topological $s$-wave superconductors driven by electron correlation

Abstract

It is interesting to ask whether electron interaction can turn a topologically trivial superconductor into a nontrivial one without the presence of spin-obital coupling. In this paper we solve a correlated $s$-wave superconducting model exactly. The variation of the fermion number parity of the superconducting ground state as a function of the electron interaction is calculated and the topological phase diagram is obtained. Topological $s$-wave superconducting states are revealed in the doped Mott insulators, which is further confirmed by the numerical investigation of the topological boundary zero mode.

6 pages, 4 figures

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• Topic Review: Hatsugai-Kohmoto models: Exactly solvable playground for Mottness and Non-Fermi Liquid
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• Emergence of Topological Non-Fermi Liquid Phases in a Modified Su-Schrieffer-Heeger Chain with Long-Range Interactions
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Dilute magnetic moments in an exactly solvable interacting host
• Non-equilibrium dynamics of superconductivity in the Hatsugai-Kohmoto model
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