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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{chang2026microscopic,
  title = {{Microscopic Mechanism and Control of Reentrant Localization}},
  author = {Pei-Jie Chang and Quanfeng Lu and Wentao Yang and Dong Ruan and Gui-Lu Long},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39961},
  eprint = {2610.39961},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39961},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Microscopic Mechanism and Control of Reentrant Localization
AU  - Pei-Jie Chang
AU  - Quanfeng Lu
AU  - Wentao Yang
AU  - Dong Ruan
AU  - Gui-Lu Long
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39961
UR  - https://arxiv.org/abs/2610.39961
AB  - 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.
ER  -