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  • Letter

Intrinsically interacting higher-order topological superconductors

Hao-Ran Zhang1,*, Jian-Hao Zhang2,3,*, Zheng-Cheng Gu2,†, Rui-Xing Zhang4,5,6,‡, and Shuo Yang1,7,8,§

  • 1State Key Laboratory of Low Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China
  • 2Department of Physics, The Chinese University of Hong Kong, Shatin, New Territory, Hong Kong, China
  • 3Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 4Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996, USA
  • 5Department of Materials Science and Engineering, The University of Tennessee, Knoxville, Tennessee 37996, USA
  • 6Institute for Advanced Materials and Manufacturing, The University of Tennessee, Knoxville, Tennessee 37920, USA
  • 7Frontier Science Center for Quantum Information, Beijing 100084, China
  • 8Hefei National Laboratory, Hefei 230088, China

  • *These authors contributed equally to this work.
  • †zcgu@phy.cuhk.edu.hk
  • ‡ruixing@utk.edu
  • §shuoyang@tsinghua.edu.cn
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Phys. Rev. B 108, L060504 – Published 11 August, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L060504

Abstract

We propose a minimal interacting lattice model for two-dimensional class-D higher-order topological superconductors with no free-fermion counterpart. A Lieb-Schultz-Mattis-type constraint has been proposed and applied to guide our lattice model construction. Our model exhibits a trivial product ground state in the weakly interacting regime, whereas, increasing electron correlations provoke a novel topological quantum phase transition to a D4-symmetric higher-order topological superconducting state. The symmetry-protected Majorana corner modes are numerically confirmed with the matrix-product-state technique. Our theory paves the way for studying correlated higher-order topology with explicit lattice model constructions.

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Phys. Rev. B 108, L060504– Published 11 August, 2023
  • Received 9 January 2023
  • Revised 30 June 2023
  • Accepted 24 July 2023
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