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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• Critical phase dualities in 1D exactly-solvable quasiperiodic models
• Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
• Quantum phase with coexisting localized, extended, and critical zones
• Renormalization-Group Theory of 1D quasiperiodic lattice models with commensurate approximants
• Dephasing-induced mobility edges in quasicrystals
• The general approach to the critical phase with coupled quasiperiodic chains
• 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
• Incommensurability enabled quasi-fractal order in 1D narrow-band moiré systems
• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals
• Emergence of multifractality through cascade-like transitions in a mosaic interpolating Aubry-André-Fibonacci chain
• Engineering mobility in quasiperiodic lattices with exact mobility edges
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• Exact Mobility edges and topological Anderson insulating phase in a slowly varying quasiperiodic model
• Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices
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