Quantum localization in incommensurate tight-binding chains
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910101926838272 |
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| author | Dyrseth, C. J. Samokhin, K. V. |
| author_facet | Dyrseth, C. J. Samokhin, K. V. |
| contents | We explore quantum localization phenomena in a system of two coupled tight-binding chains with incommensurate periods. Employing the inverse participation ratio as a measure of localization, we investigate the effects of geometric incommensurability and external magnetic fields. Numerical results reveal the existence of a mobility edge in the spectrum characterized by an abrupt onset of localization in higher-energy states. We find that localization tends to be enhanced by a weak magnetic field, whereas a strong field delocalizes most states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20004 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum localization in incommensurate tight-binding chains Dyrseth, C. J. Samokhin, K. V. Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics We explore quantum localization phenomena in a system of two coupled tight-binding chains with incommensurate periods. Employing the inverse participation ratio as a measure of localization, we investigate the effects of geometric incommensurability and external magnetic fields. Numerical results reveal the existence of a mobility edge in the spectrum characterized by an abrupt onset of localization in higher-energy states. We find that localization tends to be enhanced by a weak magnetic field, whereas a strong field delocalizes most states. |
| title | Quantum localization in incommensurate tight-binding chains |
| topic | Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2510.20004 |