Phenomenon of multiple reentrant localization in a double-stranded helix with transverse electric field

TL;DR

This study investigates multiple reentrant localization phenomena in a double-stranded helical system under a transverse electric field, revealing complex localization transitions and mobility edges driven by induced disorder and dimerization.

Contribution

It introduces a novel model combining hopping dimerization and electric field-induced disorder to observe multiple reentrant localization regions and mobility edges in a double-stranded helix.

Findings

Identification of two reentrant localization regions with distinct characteristics

Discovery of three single-particle mobility edges linked to localization transitions

Demonstration of the effects of electric field and dimerization on localization behavior

Abstract

The present work explores the potential for observing multiple reentrant localization behavior in a double-stranded helical (DSH) system, extending beyond the conventional nearest-neighbor hopping interaction. The DSH system is considered to have hopping dimerization in each strand, while also being subjected to a transverse electric field. The inclusion of an electric field serves the dual purpose of inducing quasiperiodic disorder and strand-wise staggered site energies. Two reentrant localization regions are identified: one exhibiting true extended behavior in the thermodynamic limit, while the second region shows quasi-extended characteristics with partial spreading within the helix. The DSH system exhibits three distinct single-particle mobility edges linked to localization transitions present in the system. The analysis in this study involves examining various parameters such as the single-particle energy spectrum, inverse participation ratio, local probability amplitude, and more. Our proposal, combining achievable hopping dimerization and induced correlated disorder, presents a unique opportunity to study phenomenon of reentrant localization, generating significant research interest.