Reentrant Localization Transition in a Quasiperiodic Chain

• Published in: Physical review letters Vol. 126; no. 10; p. 106803
• Main Authors: Roy, Shilpi, Mishra, Tapan, Tanatar, B, Basu, Saurabh
• Format: Journal Article
• Language: English
• Published: United States American Physical Society 12-03-2021
• Subjects: Eigenvectors; Localization; Particle motion
• ISSN: 0031-9007; 1079-7114
• DOI: 10.1103/physrevlett.126.106803

Systems with quasiperiodic disorder are known to exhibit a localization transition in low dimensions. After a critical strength of disorder, all the states of the system become localized, thereby ceasing the particle motion in the system. However, in our analysis, we show that in a one-dimensional dimerized lattice with staggered quasiperiodic disorder, after the localization transition, some of the localized eigenstates become extended for a range of intermediate disorder strengths. Eventually, the system undergoes a second localization transition at a higher disorder strength, leading to all states being localized. We also show that the two localization transitions are associated with the mobility regions hosting the single-particle mobility edges. We establish this reentrant localization transition by analyzing the eigenspectra, participation ratios, and the density of states of the system.