2022
DOI: 10.48550/arxiv.2203.09838
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$q$th-root non-Hermitian Floquet topological insulators

Longwen Zhou,
Raditya Weda Bomantara,
Shenlin Wu

Abstract: Floquet phases of matter have attracted great attention due to their dynamical and topological nature that are unique to nonequilibrium settings. In this work, we introduce a generic way of taking any integer qth-root of the evolution operator U that describes Floquet topological matter. As a case study, we apply our qth-rooting procedure to obtain the square-and cubic-root firstand second-order non-Hermitian Floquet topological insulators. There, we explicitly demonstrate the presence of multiple edge and cor… Show more

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Cited by 1 publication
(2 citation statements)
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“…Tuning of various topological semimetallic band structures has become an active topic of current research owing to their interesting geometry and fascinating transport properties both in Hermitian [134][135][136][137][138][139][140][141][142][143] and non-Hermitian systems [144][145][146][147][148][149][150][151]. Hermitian Hamiltonians hosting Weyl points with arbitrary topological charge can be transformed to onedimensional exceptional contours in the presence of non-Hermitian gain-and-loss perturbations [32,151] (please see the discussion on exceptional contours in section 2).…”
Section: Non-hermitian Topological Semimetalsmentioning
confidence: 99%
See 1 more Smart Citation
“…Tuning of various topological semimetallic band structures has become an active topic of current research owing to their interesting geometry and fascinating transport properties both in Hermitian [134][135][136][137][138][139][140][141][142][143] and non-Hermitian systems [144][145][146][147][148][149][150][151]. Hermitian Hamiltonians hosting Weyl points with arbitrary topological charge can be transformed to onedimensional exceptional contours in the presence of non-Hermitian gain-and-loss perturbations [32,151] (please see the discussion on exceptional contours in section 2).…”
Section: Non-hermitian Topological Semimetalsmentioning
confidence: 99%
“…Furthermore, in Li et al [173] the authors show that non-Hermitian Floquet topological insulators can host non-reciprocal dissipationless edge modes as well as regimes of decaying and amplifying topological edge transport. In an interesting recent work by Zhou et al [147], the authors proposed a framework for constructing an interesting class of topological matter, which exhibit non-Hermiticity induced fractional quasi-energy corner modes and NHSE with fractional quasi-energy edge states in Floquet open systems. The study of light-matter topological insulators with non-Hermitian topology also dubbed as 'Floquet exceptional topological insulator' in various dimensions has been emerging as an active topic of current research in the context of NHSE, and its concomitant point gap topology as well as associated wave dynamics [174].…”
Section: Floquet Engineering Of Non-hermitian Topological Phasesmentioning
confidence: 99%