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arXiv · 2510.20004

Quantum localization in incommensurate tight-binding chains

C. J. Dyrseth·K. V. Samokhin
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Abstract

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.

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C. J. Dyrseth, K. V. Samokhin. 2025-10-22. Quantum localization in incommensurate tight-binding chains. https://doi.org/10.1103/cswr-nljr

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