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

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

Blog Article

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 Vitamin K 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 Fridge Thermometer 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.