Anomalous mobility edges in one-dimensional quasiperiodic models

Abstract

Mobility edges, separating localized from extended states, are known to arise in the single-particle energy spectrum of disordered systems in dimension strictly higher than two and certain quasiperiodic models in one dimension. Here we unveil a different class of mobility edges, dubbed anomalous mobility edges, that separate bands of localized states from bands of critical states in diagonal and off-diagonal quasiperiodic models. We first introduce an exactly solvable quasi-periodic diagonal model and analytically demonstrate the existence of anomalous mobility edges. Moreover, numerical multifractal analysis of the corresponding wave functions confirms the emergence of a finite band of critical states. We then extend the sudy to a quasiperiodic off-diagonal Su-Schrieffer-Heeger model and show numerical evidence of anomalous mobility edges. We finally discuss possible experimental realizations of quasi-periodic models hosting anomalous mobility edges. These results shed new light on the localization and critical properties of low-dimensional systems with aperiodic order.

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Cited by in corpus (65)

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• Renormalization-Group Theory of 1D quasiperiodic lattice models with commensurate approximants
• Dephasing-induced mobility edges in quasicrystals
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• Dissipation induced extended-localized transition
• Multiple localization transitions and novel quantum phases induced by staggered on-site potential
• Non-Hermitian butterfly spectra in a family of quasiperiodic lattices
• Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
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• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals
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• Engineering mobility in quasiperiodic lattices with exact mobility edges
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• Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices
• Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
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• Quasidisorder Induced Topology
• Short-range interactions are irrelevant at the quasiperiodic-driven Luttinger Liquid to Anderson Glass transition
• Su-Schrieffer-Heeger quasicrystal: Topology, localization, and mobility edge
• Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders
• The fundamental localization phases in quasiperiodic systems: A unified framework and exact results
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
• Exact non-Hermitian mobility edges and robust flat bands in two-dimensional Lieb lattices with imaginary quasiperiodic potentials
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• Multifractal-enriched mobility edges and emergent quantum phases in Rydberg atomic arrays
• Proposed realization of critical regions in a one-dimensional flat band lattice with a quasi-periodic potential
• Delocalization of light in photonic lattices with unbounded potentials
• Localization and mobility edges in non-Hermitian continuous quasiperiodic systems
• Resonances, mobility edges and gap-protected Anderson localization in generalized disordered mosaic lattices
• Localization and topological transitions in generalized non-Hermitian SSH models
• Exploring Multifractal Critical Phases in Two-Dimensional Quasiperiodic Systems
• Robust extended states in Anderson model on partially disordered random regular graphs
• The odd-even effect of mosaic modulation period of quasi-periodic hopping on the Anderson localization in a one-dimensional lattice model
• Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
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• Quasiperiodicity-induced enhancement of superconductivity in one-dimensional critical systems
• Topological Anderson insulator phases in one dimensional quasi-periodic mechanical SSH chains
• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
• Experimental observation of exact quantum critical states
• Fate of Quadratic Band Crossing under quasiperiodic modulation
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• Entanglement entropy scaling in critical phases of 1D quasiperiodic systems
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Coexistence of extended and localized states in one-dimensional non-Hermitian Anderson model
• Localization and Topology in Noncentrosymmetric Superconductors with Disorder
• Fractal Quasicondensation in One Dimension
• Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation
• Universal localization-delocalization transition in chiral-symmetric Floquet drives
• Dissipation induced ergodic-nonergodic transitions in finite-height mosaic Wannier-Stark lattices
• Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions
• Exact Mobility Edges in a Disorder-Free Dimerized Stark Lattice with Effective Unbounded Hopping
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Towards the complete description of stationary states of a Bose-Einstein condensate in a one-dimensional quasiperiodic lattice: A coding approach
• Localization phase diagram of the Hexagonal Lattice with irrational magnetic flux
• Mobility-edge-embedded Hofstadter butterfly from a tilt-induced quasiperiodic potential
• Fluctuation-stable generalized entropy probes of spectral heterogeneity
• Distinct reentrant transitions in a quasi-periodic Raman lattice
• Correlated disorder induced anomalous transport in magnetically doped topological insulators