Intrinsically Interacting Higher-Order Topological Superconductors

• URL: http://arxiv.org/abs/2212.13013v2
• Date: Mon, 14 Aug 2023 11:45:00 GMT
• Title: Intrinsically Interacting Higher-Order Topological Superconductors
• Authors: Hao-Ran Zhang, Jian-Hao Zhang, Zheng-Cheng Gu, Rui-Xing Zhang, Shuo Yang
• Abstract summary: We propose a minimal interacting lattice model for two-dimensional class-$D$ higher-order topological superconductors. A Lieb-Schultz-Mattis-type constraint is proposed and applied to guide our lattice model construction.
• Score: 19.52773844535185
• License: http://creativecommons.org/licenses/by/4.0/
• 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 is 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 interactions provoke a novel topological quantum phase transition to a $D_4$-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 interacting higher-order topology with explicit lattice model constructions.

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