Recent studies have revealed reentrant-localization transitions in quasiperiodic one-dimensional lattices, where the competition between dimerized hopping and staggered disorder plays a central role. However, it remains unclear under what conditions reentrant localization and, in particular, multiple reentrant localization can occur. Here we investigate localization phenomena in a one-dimensional lattice subject to a periodic potential and an additional quasiperiodic modulation. Using both eigenstate-resolved indicators and experimentally accessible dynamical observables, we identify robust multiple-reentrant-localization transitions. We show that these transitions are uniquely stabilized by the dimer structure of the unit cell, where the competition between the on-site periodic potential and the quasiperiodic modulation becomes most pronounced. By systematically varying the periodicity parameter $\alpha$ and the quasiperiodic frequency $\beta$, 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.

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• Anderson localization
• Localization
• 1-dimensional systems
• Disordered systems
• Numerical techniques