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Intrinsically interacting higher-order topological superconductors

Year: 2023
Type: article
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 ${D}_{4}$-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 correlated higher-order topology with explicit lattice model constructions.
DOI: 10.1103/physrevb.108.l060504
Institutions: State Key Laboratory of Low-Dimensional Quantum Physics, Tsinghua University, Pennsylvania State University, Chinese University of Hong Kong, University of Tennessee at Knoxville, Frontier Science Center for Quantum Information of the Ministry of Education of China
Language: English
Open Access status: green
Funders: University of Tennessee, Agence Nationale de la Recherche, National Natural Science Foundation of China, Research Grants Council, University Grants Committee, Chinese University of Hong Kong, National Key Research and Development Program of China
Awards: G1467062877, Higher-order topological insulator and topological superconductor in interacting fermion systems, G3799233354, Classification and realization of topological phases in strongly correlated systems: a tensor network approach, G5128824721, G5505101072, G7521580128, G8948072871
OpenAlex ID: W4385769528
FWCI: 1.833
Cites: 84
Cited by: 16
Related to: 10