Intrinsically interacting higher-order topological superconductors
Hao-Ran Zhang, Jian-Hao Zhang, Zheng-Cheng Gu, Rui-Xing Zhang, Shuo Yang
DOI 10.1103/PhysRevB.108.L060504 · Physical Review B
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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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