Intrinsically Interacting Higher-Order Topological Superconductors

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.

12 pages, 6 figures

References in corpus (8)

• Topological Crystalline Insulators
• The space group classification of topological band insulators
• Anyon condensation and a generic tensor-network construction for symmetry protected topological phases
• Dimensional Reduction and Topological Invariants of Symmetry-Protected Topological Phases
• Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquids
• Interaction Enabled Fractonic Higher-Order Topological Phases
• Classification and construction of interacting fractonic higher-order topological phases
• Strongly correlated crystalline higher-order topological phases in two-dimensional systems: A coupled-wire study

Cited by in corpus (4)

• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Fractonic Higher-Order Topological Phases in Open Quantum Systems
• Stacking Group Structure of Fermionic Symmetry-Protected Topological Phases
• Weak coupling theory of nickel-based 327 superconductors