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| Format: | Preprint |
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2025
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| Online-Zugang: | https://arxiv.org/abs/2512.19368 |
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| _version_ | 1866909973559115776 |
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| author | Yildiz, Taylan Tanatar, B. |
| author_facet | Yildiz, Taylan Tanatar, B. |
| contents | We investigate localization and reentrance in a dimerized Su-Schrieffer-Heeger (SSH) tight-binding chain whose on-site energies are given by a quasiperiodic cosine masked by a deterministic Thue-Morse sequence. Working with non-interacting, spinless fermions, we solve the model via exact diagonalization on large Fibonacci sizes and diagnose phases using inverse/normalized participation ratios and the correlation fractal dimension. We identify boundaries separating extended, multifractal (mixed), and localized regimes by constructing a phase diagram in the plane of modulation strength and dimerization ratio. As the quasiperiodic amplitude is increased, the system exhibits reentrant behavior, localizing, partially re-delocalizing into a multifractal regime, and re-localizing, verified via two-size crossings of band-averaged observables and finite-size scaling. We demonstrate that tuning the modulation strength, the SSH dimerization, or the incommensurability parameter provides control over the critical thresholds. Our results suggest a versatile, randomness-free platform for the deterministic control of transport, enabling switching between conducting, multifractal, and insulating states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reentrant Localization in Quasiperiodic Thue-Morse Chain Yildiz, Taylan Tanatar, B. Disordered Systems and Neural Networks We investigate localization and reentrance in a dimerized Su-Schrieffer-Heeger (SSH) tight-binding chain whose on-site energies are given by a quasiperiodic cosine masked by a deterministic Thue-Morse sequence. Working with non-interacting, spinless fermions, we solve the model via exact diagonalization on large Fibonacci sizes and diagnose phases using inverse/normalized participation ratios and the correlation fractal dimension. We identify boundaries separating extended, multifractal (mixed), and localized regimes by constructing a phase diagram in the plane of modulation strength and dimerization ratio. As the quasiperiodic amplitude is increased, the system exhibits reentrant behavior, localizing, partially re-delocalizing into a multifractal regime, and re-localizing, verified via two-size crossings of band-averaged observables and finite-size scaling. We demonstrate that tuning the modulation strength, the SSH dimerization, or the incommensurability parameter provides control over the critical thresholds. Our results suggest a versatile, randomness-free platform for the deterministic control of transport, enabling switching between conducting, multifractal, and insulating states. |
| title | Reentrant Localization in Quasiperiodic Thue-Morse Chain |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2512.19368 |