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Generalized Aubry-André self-duality and mobility edges in non-Hermitian quasiperiodic lattices

AuthorsLiu, Tong; Guo, Hao; Pu, Yong; Longhi, Stefano
Issue Date27-Jul-2020
PublisherAmerican Physical Society
CitationPhysical Review - Section B - Condensed Matter 102(2): 024205 (2020)
AbstractWe demonstrate the existence of generalized Aubry-André self-duality in a class of non-Hermitian quasiperiodic lattices with complex potentials. From the self-duality relations, the analytical expression of mobility edges is derived. Compared to Hermitian systems, mobility edges in non-Hermitian ones not only separate localized from extended states but also indicate the coexistence of complex and real eigenenergies, making possible a topological characterization of mobility edges. An experimental scheme, based on optical pulse propagation in synthetic photonic mesh lattices, is suggested to implement a non-Hermitian quasicrystal displaying mobility edges.
Publisher version (URL)https://doi.org/10.1103/PhysRevB.102.024205
Appears in Collections:(IFISC) Artículos
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