Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals

Abstract

Non-Hermitian effects could create rich dynamical and topological phase structures. In this work, we show that the collaboration between lattice dimerization and non-Hermiticity could generally bring about mobility edges and multiple localization transitions in one-dimensional quasicrystals. Non-Hermitian extensions of the Aubry-André-Harper (AAH) model with staggered onsite potential and dimerized hopping amplitudes are introduced to demonstrate our results. Reentrant localization transitions due to the interplay between quasiperiodic gain/loss and lattice dimerization are found. Quantized winding numbers are further adopted as topological invariants to characterize transitions among phases with distinct spectrum and transport nature. Our study thus enriches the family of non-Hermitian quasicrystals by incorporating effects of lattice dimerization, and offering a convenient way to modulate localization transitions and mobility edges in non-Hermitian systems.

11 pages, 9 figures, accepted version

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Cited by in corpus (27)

• Non-Hermitian Floquet Topological Matter -- A Review
• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Non-Hermitian pseudo mobility edge in a coupled chain system
• Entanglement phase transitions in non-Hermitian quasicrystals
• Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions
• Multiple localization transitions and novel quantum phases induced by staggered on-site potential
• Non-Hermitian butterfly spectra in a family of quasiperiodic lattices
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Engineering mobility in quasiperiodic lattices with exact mobility edges
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Topological inverse Anderson insulator
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• From scale-free to Anderson localization: a size-dependent transition
• Scale-free localization versus Anderson localization in unidirectional quasiperiodic lattices
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• Reentrant localization transition induced by a composite potential
• Anomalous spectrum in a non-Hermitian quasiperiodic chain
• Phase transitions in non-Hermitian superlattices
• Exact mobility line and mobility ring in the complex energy plane of a flat band lattice with a non-Hermitian quasiperiodic potential
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Reentrant quantum spin Hall effect in the presence of an exchange field
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals