Investigation of reentrant localization transition in one-dimensional quasi-periodic lattice with long-range hopping

TL;DR

This paper explores how long-range hopping influences reentrant localization in one-dimensional quasi-periodic lattices, revealing that it can induce and modify localization transitions and their critical behavior.

Contribution

It demonstrates that long-range hopping induces reentrant localization regardless of disorder type and alters the critical behavior, expanding understanding of localization phenomena.

Findings

Long-range hopping induces reentrant localization.

Long-range hopping modifies critical exponents and universality classes.

Reentrant localization persists with long-range hopping under various disorder conditions.

Abstract

Reentrant localization has recently been observed in systems with quasi-periodic nearest-neighbor hopping, where the interplay between dimerized hopping and staggered disorder is identified as the driving mechanism. However, the robustness of reentrant localization in the presence of long-range hopping remains an open question. In this work, we investigate the phenomenon of reentrant localization in systems incorporating long-range hopping. Our results reveal that long-range hopping induces reentrant localization regardless of whether the disorder is staggered or uniform. We demonstrate that long-range hopping does not inherently disrupt localization; instead, under specific conditions, it facilitates the emergence of reentrant localization. Furthermore, by analyzing critical exponents, we show that the inclusion of long-range hopping modifies the critical behavior, leading to transitions that belong to distinct universality classes.