Floquet insulators and lattice fermions
Abstract
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. 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.
Keywords
Cite
@article{arxiv.2306.16463,
title = {Floquet insulators and lattice fermions},
author = {Thomas Iadecola and Srimoyee Sen and Lars Sivertsen},
journal= {arXiv preprint arXiv:2306.16463},
year = {2023}
}
Comments
Figure label corrected