Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals

• URL: http://arxiv.org/abs/2106.07149v4
• Date: Mon, 16 Aug 2021 15:27:00 GMT
• Title: Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• Authors: Longwen Zhou
• Abstract summary: Time-periodic driving fields could endow a system with peculiar topological and transport features. We find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the lattice periodically.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the lattice periodically. The driving force dresses the hopping amplitudes between lattice sites, yielding alternate transitions between localized, mobility edge and extended non-Hermitian quasicrystalline phases. We apply our Floquet engineering approach to five representative models of non-Hermitian quasicrystals, obtain the conditions of photon-assisted localization transitions and mobility edges, and find the expressions of Lyapunov exponents for some models. We further introduce topological winding numbers of Floquet quasienergies to distinguish non-Hermitian quasicrystalline phases with different localization nature. Our discovery thus extend the study of quasicrystals to non-Hermitian Floquet systems, and provide an efficient way of modulating the topological and transport properties of these unique phases.

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