Multiple localization transitions and novel quantum phases induced by staggered on-site potential

Abstract

We propose an one-dimensional generalized Aubry-Andr{é}-Harper (AAH) model with off-diagonal hopping and staggered on-site potential. We find that the localization transitions could be multiple reentrant with the increasing of staggered on-site potential. The multiple localization transitions are verified by the quantum static and dynamic measurements such as the inversed or normalized participation ratios, fractal dimension and survival probability. Based on the finite-size scaling analysis, we also obtain an interesting intermediate phase where the extended, localized and critical states are coexistent in certain regime of model parameters. These results are quite different from those in the generalized AAH model with off-diagonal hopping, and can help us to find novel quantum phases, new localization phenomena in the disordered systems.

References in corpus (39)

• Many body localization and thermalization in quantum statistical mechanics
• Anderson Transitions
• Anderson localization of a non-interacting Bose-Einstein condensate
• Topological States and Adiabatic Pumping in Quasicrystals
• Direct observation of a localization transition in quasi-periodic photonic lattices
• Many-Body Localization in a Quasiperiodic System
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Predicted mobility edges in one-dimensional incommensurate optical lattices: An exactly solvable model of Anderson localization
• Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
• Non-Hermitian Many-Body Localization
• Mobility Edges in 1D Bichromatic Incommensurate Potentials
• One dimensional quasiperiodic mosaic lattice with exact mobility edges
• One-dimensional quasicrystals with power-law hopping
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Many body localization and quantum non-ergodicity in a model with a single-particle mobility edge
• Localization and adiabatic pumping in a generalized Aubry-André-Harper model
• Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
• Reentrant Localization Transition in a Quasiperiodic Chain
• Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
• Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry
• Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials
• Many-body localization in a non-Hermitian quasi-periodic system
• Localization and topological transitions in non-Hermitian quasiperiodic lattices
• Anomalous mobility edges in one-dimensional quasiperiodic models
• Quantum nonergodicity and fermion localization in a system with a single-particle mobility edge
• Many-body critical phase: extended and nonthermal
• Many-body localization in incommensurate models with a mobility edge
• Observation of critical phase transition in a generalized Aubry-André-Harper model on a superconducting quantum processor with tunable couplers
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
• Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
• Mobility edge and multifractality in a periodically driven Aubry-André model
• Hidden dualities in 1D quasiperiodic lattice models
• Cascade of the delocalization transition in a non-Hermitian interpolating Aubry-Andr{é}-Fibonacci chain
• Quantum phase with coexisting localized, extended, and critical zones
• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
• Critical analysis of the re-entrant localization transition in a one-dimensional dimerized quasiperiodic lattice
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice

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• Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Reentrant localization transition induced by a composite potential
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
• Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
• Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates
• Types of dynamical behavior in a quasiperiodic mosaic lattice
• Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
• Distinct reentrant transitions in a quasi-periodic Raman lattice
• Dissipation induced ergodic-nonergodic transitions in finite-height mosaic Wannier-Stark lattices
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed $s$- and $d$-wave symmetries
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals