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arXiv · 2610.39961

Microscopic Mechanism and Control of Reentrant Localization

Pei-Jie Chang·Quanfeng Lu·Wentao Yang·Dong Ruan·Gui-Lu Long
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Abstract

Increasing quasiperiodic modulation can restore extended states after localization, raising the question of how the same modulation drives both localization and recovery. We identify a microscopic mechanism in quasiperiodic dimer chains by resolving scattering between Fourier channels. Specifically, scattering into neighboring channels and back shifts the spectral edge relative to a localization boundary determined by a neutral auxiliary resonance. Their successive crossings drive the same spectral packet with fixed integrated-density-of-states (IDS) labels into localization and back into an extended regime. This recovery persists across finite parameter ranges in both gap-opening families, including relative-phase detuning. Furthermore, an exact sublattice mapping enables compensated control of the recovery window and predicts recovery thresholds for individual IDS labels.

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Pei-Jie Chang, Quanfeng Lu, Wentao Yang, Dong Ruan, Gui-Lu Long. 2026-10-29. Microscopic Mechanism and Control of Reentrant Localization. https://arxiv.org/abs/2610.39961

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