2025/09/12 by Pei-Jie Chang, Dong Ruan, Chang, Pei-Jie +3
Chemistry · Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #Electrostatics and Colloid Interactions #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Physics (quant-ph) #Ultrasonics and Acoustic Wave Propagation
paper · pdf · doi:10.48550/arxiv.2509.21338
openalex publication_date 2025/09/12 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28
Recent studies have revealed reentrant localization transitions in quasi-periodic one-dimensional lattices, where the competition between dimerized hopping and staggered disorder plays a central role. Yet the extent to which such reentrant localization persists under more general conditions, such as additional periodic potentials, modified quasi-periodic modulations remains unclear. Here we investigate localization phenomena in a one-dimensional lattice subject to a periodic potential and an additional quasi-periodic modulation. Using both eigenstate-based indicators and experimentally accessible dynamical observables, we identify robust reentrant, or multiple, localization transitions. We show that these transitions are uniquely stabilized by the dimer structure of the unit cell, where the competition between the onsite periodic potential and the quasi-periodic modulation becomes most pronounced. By systematically varying the periodicity parameter α and the quasi-periodic frequency β, we find that the robust multiple reentrant localization behavior disappears for any deviation from the dimer configuration, confirming its essential role. Our results suggest that the interplay between these competing factors drives the multiple reentrant localization transitions.