Floquet Insulators and Lattice Fermions

Iadecola, Thomas; Sen, Srimoyee; Sivertsen, Lars

doi:10.1103/physrevlett.132.136601

Title: Floquet Insulators and Lattice Fermions

Journal Article · 25 March 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/physrevlett.132.136601 · OSTI ID:2338086

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Iowa State Univ., Ames, IA (United States); Ames Laboratory (AMES), Ames, IA (United States); Iowa State University
Iowa State Univ., Ames, IA (United States)

Floquet insulators are periodically driven quantum systems that can host novel topological phases as a function of the drive parameters. These new phases exhibit features reminiscent of fermion doubling in discrete-time lattice fermion theories. We make this suggestion concrete by mapping the spectrum of a noninteracting (1+1)D Floquet insulator for certain drive parameters onto that of a discrete-time lattice fermion theory with a time-independent Hamiltonian. The resulting Hamiltonian is distinct from the Floquet Hamiltonian that generates stroboscopic dynamics. Finally, it can take the form of a discrete-time Su-Schrieffer-Heeger model with half the number of spatial sites of the original model, or of a (1+1)D Wilson-Dirac theory with one quarter of the spatial sites.

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Research Organization:: Iowa State Univ., Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0021892

OSTI ID:: 2338086

Alternate ID(s):: OSTI ID: 2474228

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 132; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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