Strongly correlated crystalline higher-order topological phases in two-dimensional systems: A coupled-wire study

Abstract

Coupled-wire constructions have been widely applied to quantum Hall systems and symmetry-protected topological (SPT) phases. In this Letter, we use the coupled one-dimensional nonchiral Luttinger liquids with domain-wall structured mass terms as quantum wires to construct the crystalline higher-order topological superconductors (HOTSC) in two-dimensional interacting fermionic systems by two representative examples: $D_4$-symmetric class-D HOTSC and $C_4$-symmetric class-BD\1 HOTSC, with Majorana corner modes on the edge. Furthermore, based on the coupled-wire constructions, the quantum phase transition between different phases of 2D HOTSC by tuning the inter-wire couplings is investigated in a straightforward way.

4+epsilon pages, 5 figures, with Supplementary Materials; Published version

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Cited by in corpus (8)

• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Fractonic Higher-Order Topological Phases in Open Quantum Systems
• Intrinsically Interacting Higher-Order Topological Superconductors
• Classification and construction of interacting fractonic higher-order topological phases
• Fractional second-order topological insulator from a three-dimensional coupled-wires construction
• Topological Dipole Insulator
• Fractional chiral second-order topological insulator from a three-dimensional array of coupled wires
• Coupled-wire construction of non-Abelian higher-order topological phases