Quantum localization in incommensurate tight-binding chains
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.
Fields of Study & Subjects
Quantum many-body systems
Advanced Physical and Chemical Molecular Interactions
Organic and Molecular Conductors Research
Publication details
- Journal / source
- Physical review. B./Physical review. B
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 13
- Publication date
- 5 March 2026
- Language
- EN