Reentrant localization in a quasiperiodic chain with correlated hopping sequences

Abstract

Quasiperiodic systems are known to exhibit localization transitions in low dimensions, wherein all electronic states become localized beyond a critical disorder strength. Interestingly, recent studies have uncovered a reentrant localization (RL) phenomenon: upon further increasing the quasiperiodic modulation strength beyond the localization threshold, a subset of previously localized states can become delocalized again within a specific parameter window. While RL transitions have been primarily explored in systems with simple periodic modulations, such as dimerized or long-range hopping integrals, the impact of more intricate or correlated hopping structures on RL behavior remains largely elusive. In this work, we investigate the localization behavior in a one-dimensional lattice featuring staggered, correlated on-site potentials following the Aubry-André-Harper model, along with off-diagonal hopping modulations structured according to quasiperiodic Fibonacci and Bronze Mean sequences. By systematically analyzing the fractal dimension, inverse participation ratio, and normalized participation ratio, we demonstrate the occurrence of RL transitions induced purely by the interplay between quasiperiodic on-site disorder and correlated hopping. We further examine the parameter space to determine the specific regimes that give rise to RL. Our findings highlight the crucial role of underlying structural correlations in governing localization-delocalization transitions in low-dimensional quasiperiodic systems, where the correlated disorder manifests in both diagonal and off-diagonal terms.

arXiv comment7 pages, 5 figures. Comments are welcome

References in corpus (26)

• Anderson Transitions
• Anderson localization of a non-interacting Bose-Einstein condensate
• Topological States and Adiabatic Pumping in Quasicrystals
• Localization and delocalization of light in photonic moire lattices
• Direct observation of a localization transition in quasi-periodic photonic lattices
• Most efficient quantum thermoelectric at finite power output
• Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
• Mobility Edges in 1D Bichromatic Incommensurate Potentials
• One-dimensional quasicrystals with power-law hopping
• Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
• Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
• Reentrant Localization Transition in a Quasiperiodic Chain
• Cold atoms in the presence of disorder
• Mobility edge and intermediate phase in one-dimensional incommensurate lattice potentials
• Electronic transport properties of quasicrystals: a Review
• Fraction of delocalized eigenstates in the long-range Aubry-André-Harper model
• Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice
• Fractal dimensions of the wavefunctions and local spectral measures on the Fibonacci chain
• Cascade of the delocalization transition in a non-Hermitian interpolating Aubry-Andr{é}-Fibonacci chain
• Thermoelectricity near Anderson localization transitions
• Quasiperiodic quantum heat engines with a mobility edge
• Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder
• The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Critical analysis of multiple reentrant localization in an antiferromagnetic helix with transverse electric field: Hopping dimerization-free scenario
• The multiple re-entrant localization in a phase-shift quasiperiodic chain