2019/05/31 by Haiping Hu, Biao Huang, Erhai Zhao +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Combinatorics #Floquet theory #Geometry #Gravitational singularity #Hamiltonian (control theory) #Homogeneous space #Mathematics #Order (exchange) #Physics #Quantum many-body systems #Quantum mechanics #Topological Materials and Phenomena #Topological insulator #Topological order #Topology (electrical circuits) #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physrevlett.124.057001
published as Phys. Rev. Lett. 124, 057001 (2020) · 6+9 pages, including Supplementary materials
arxiv created 2020/02/03 · openalex publication_date 2020/02/03 · arxiv updated 2020/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We propose a versatile framework to dynamically generate Floquet higher-order topological insulators by multistep driving of topologically trivial Hamiltonians. Two analytically solvable examples are used to illustrate this procedure to yield Floquet quadrupole and octupole insulators with zero- and/or π-corner modes protected by mirror symmetries. Furthermore, we introduce dynamical topological invariants from the full unitary return map and show its phase bands contain Weyl singularities whose topological charges form dynamical multipole moments in the Brillouin zone. Combining them with the topological index of a Floquet Hamiltonian gives a pair of Z2 invariant ν0 and νπ which fully characterize the higher-order topology and predict the appearance of zero- and π-corner modes. Our work establishes a systematic route to construct and characterize Floquet higher-order topological phases.