Non-Hermitian quasicrystal in dimerized lattices

Abstract

Non-Hermitian quasicrystals possess PT and metal-insulator transitions induced by gain and loss or nonreciprocal effects. In this work, we uncover the nature of localization transitions in a generalized Aubry-Andre-Harper model with dimerized hopping amplitudes and complex onsite potential. By investigating the spectrum, adjacent gap ratios and inverse participation ratios, we find an extended phase, a localized phase and a mobility edge phase, which are originated from the interplay between hopping dimerizations and non-Hermitian onsite potential. The lower and upper bounds of the mobility edge are further characterized by a pair of topological winding numbers, which undergo quantized jumps at the boundaries between different phases. Our discoveries thus unveil the richness of topological and transport phenomena in dimerized non-Hermitian quasicrystals.

arXiv comment11 pages, 11 figures, version accepted by CPB for the Special Issue on Non-Hermitian Physics

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Cited by in corpus (14)

• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
• Non-Hermitian Floquet Topological Matter -- A Review
• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Entanglement phase transitions in non-Hermitian quasicrystals
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Coexistence of extended and localized states in one-dimensional non-Hermitian Anderson model
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory