Reentrant Localization Transition in a Quasiperiodic Chain

Abstract

Systems with quasiperiodic disorder are known to exhibit localization transition in low dimension. After a critical strength of disorder all the states of the system become localized, thereby ceasing the particle motion in the system. However, in our analysis we show that in a one dimensional dimerized lattice with staggered quasiperiodic disorder, after the localization transition some of the localized eigenstates become extended for a range of intermediate disorder strengths. Eventually, the system undergoes a second localization transition at a higher disorder strength leading to all states localized. We also show that the two localization transitions are associated with the mobility regions hosting the single particle mobility edges. We establish this re-entrant localization transition by analyzing the eigenspectra, participation ratios and the density of states of the system.

5 pages, 5 figures

References in corpus (18)

• Anderson localization of a non-interacting Bose-Einstein condensate
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Localization of ultrasound in a three-dimensional elastic network
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Three-dimensional localization of ultracold atoms in an optical disordered potential
• 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
• Measurement of the mobility edge for 3D Anderson localization
• Mobility Edges in 1D Bichromatic Incommensurate Potentials
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
• Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials
• Engineering a flux-dependent mobility edge in disordered zigzag chains
• Self-dual quasiperiodic systems with power-law hopping
• Non-equilibrium phase diagram of a 1D quasiperiodic system with a single-particle mobility edge
• Three-Dimensional Anderson Localization in Variable Scale Disorder

Cited by in corpus (74)

• Observation of interaction-induced mobility edge in a disordered atomic wire
• Exact new mobility edges between critical and localized states
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
• Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
• Renormalization-Group Theory of 1D quasiperiodic lattice models with commensurate approximants
• Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Hybrid higher-order skin-topological effect in hyperbolic lattices
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Critical analysis of the re-entrant localization transition in a one-dimensional dimerized quasiperiodic lattice
• Dephasing-induced mobility edges in quasicrystals
• Quantum criticality and universality in the $p$-wave paired Aubry-André-Harper model
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Transition from metal to higher-order topological insulator driven by random flux
• 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
• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Engineering mobility in quasiperiodic lattices with exact mobility edges
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
• Emergence of quasiperiodic Bloch wave functions in quasicrystals
• Observation of reentrant metal-insulator transition in a random-dimer disordered SSH lattice
• Topological inverse Anderson insulator
• Colloquium: Synthetic quantum matter in non-standard geometries
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• The fundamental localization phases in quasiperiodic systems: A unified framework and exact results
• Hidden self-duality and exact mobility edges in quasiperiodic network models
• Tunable Generation of Spatial Entanglement in Nonlinear Waveguide Arrays
• Su-Schrieffer-Heeger quasicrystal: Topology, localization, and mobility edge
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
• Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
• Equivalence and superposition of real and imaginary quasiperiodicities
• General mapping of one-dimensional non-Hermitian mosaic models to non-mosaic counterparts: Mobility edges and Lyapunov exponents
• Probing the Topological Anderson Transition in Quasiperiodic Photonic Lattices via Chiral Displacement and Wavelength Tuning
• Flux enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder
• Universality classes of the Anderson transitions driven by quasiperiodic potential in the three-dimensional Wigner-Dyson symmetry classes
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• Non-Hermitian Quantum Fractals
• Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays
• Resonances, mobility edges and gap-protected Anderson localization in generalized disordered mosaic lattices
• Reentrant localization transition induced by a composite potential
• Strongly interacting bosons in 1D disordered lattice: phase coherence of distorted Mott phases
• Critical analysis of multiple reentrant localization in an antiferromagnetic helix with transverse electric field: Hopping dimerization-free scenario
• Anomalous spectrum in a non-Hermitian quasiperiodic chain
• Unveiling quantum criticality of disordered Aubry-André-Harper models via typical fidelity susceptibility
• Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
• Localization of Pairs in One-Dimensional Quasicrystals with Power-Law Hopping
• Sub-symmetry Protected Topology in Topological Insulators and Superconductors
• The One-dimensional Chiral Anomaly and its Disorder Response
• Numerical Investigation of Localization in Two-Dimensional Quasiperiodic Mosaic Lattice
• Signature of localization-delocalization in collisional inhomogeneous spin-orbit coupled condensates
• Exact mobility edges in quasiperiodic network models with slowly varying potentials
• Higher-Order Topological Systems and Their Sub-Symmetry-Protected Topology
• Exact multiple complex mobility edges and quantum state engineering in coupled 1D quasicystals
• Subsystem localization in a two-leg ladder system
• Topological Anderson insulator phases in one dimensional quasi-periodic mechanical SSH chains
• Transport through Quantum Anomalous Hall Bilayers with Lattice Mismatch
• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
• Generalized Aubry-André-Harper model with power-law quasiperiodic potentials
• Localization and persistent currents in a quasiperiodic disordered helical lattice
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall
• Localization and Topology in Noncentrosymmetric Superconductors with Disorder
• Disorder driven topological phase transitions in 1D mechanical quasicrystals
• Reentrant localization in a quasiperiodic chain with correlated hopping sequences
• Mode pumping in photonic lattices using a single tailored auxiliary waveguide
• Topology and $\mathcal{P}\mathcal{T}$ Symmetry in a Non-Hermitian Su-Schrieffer-Heeger Chain with Periodic Hopping Modulation
• Localization Properties of a Disordered Helical Chain
• Fluctuation-stable generalized entropy probes of spectral heterogeneity
• Distinct reentrant transitions in a quasi-periodic Raman lattice
• Exact Mobility Edges in a Disorder-Free Dimerized Stark Lattice with Effective Unbounded Hopping