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  • Letter
  • Open Access

Interaction-driven first-order and higher-order topological superconductivity

Pietro M. Bonetti1,*, Debmalya Chakraborty2,*, Xianxin Wu3, and Andreas P. Schnyder1,4

  • *These two authors contributed equally.
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Phys. Rev. B 109, L180509 – Published 29 May, 2024

DOI: https://doi.org/10.1103/PhysRevB.109.L180509

Abstract

We investigate topological superconductivity in the Rashba-Hubbard model, describing heavy-atom superlattice and van der Waals materials with broken inversion. We focus in particular on fillings close to the van Hove singularities, where a large density of states enhances the superconducting transition temperature. To determine the topology of the superconducting gaps and to analyze the stability of their surface states in the presence of disorder and residual interactions, we employ an fRG+MFT approach, which combines the unbiased functional renormalization group (fRG) with a real-space mean-field theory (MFT). Our approach uncovers a cascade of topological superconducting states, including A1 and B1 pairings, whose wave functions are of dominant p- and d-wave character, respectively, as well as a time-reversal breaking A1+iB1 pairing. While the A1 and B1 states have first-order topology with helical and flat-band Majorana edge states, respectively, the A1+iB1 pairing exhibits second-order topology with Majorana corner modes. We investigate the disorder stability of the bulk superconducting states, analyze interaction-induced instabilities of the edge states, and discuss implications for experimental systems.

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Phys. Rev. B 109, L180509– Published 29 May, 2024
  • Received 20 October 2023
  • Revised 15 March 2024
  • Accepted 10 April 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by Max Planck Society.

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