The fate of reentrant localization phenomenon in the one-dimensional dimerized quasiperiodic chain with long-range hopping

TL;DR

This paper investigates how next-nearest neighbor hopping influences the reentrant localization transition in a one-dimensional dimerized quasiperiodic chain, revealing that long-range hopping can both sustain and eventually destroy this phenomenon.

Contribution

It demonstrates the impact of long-range hopping on reentrant localization, extending understanding of localization phenomena in quasiperiodic systems with long-range interactions.

Findings

Reentrant localization persists with moderate NNNH in both Hermitian and non-Hermitian cases.

Increasing NNNH weakens dimerization, leading to the disappearance of reentrant localization.

Long-range hopping influences localization by altering the system's symmetry and competition with disorder.

Abstract

Recently, the exciting reentrant localization transition phenomenon was found in a one-dimensional dimerized lattice with staggered quasiperiodic potentials. Usually, long-range hopping is typically important in actual physical systems. In this work, we study the effect of next-nearest neighbor hopping (NNNH) on the reentrant localization phenomenon. Due to the presence of NNNH, the broken chiral symmetry is further enhanced and the localization properties of electron states in the upper and lower bands become quite different. It is found that the reentrant localization can still persist within a range of NNNH both in Hermitian and non-Hermitian cases. Eventually, the reentrant localization disappears as the strength of NNNH increases to some extent, since the increasing NNNH weakens the dimerization of the system and destroys its competition with the quasiperiodic disorder. Our work thus reveals the effect of long-range hopping in the reentrant localization phenomenon and deepens its physical understanding.