论文标题

在准膜链中的重进入定位过渡

Reentrant Localization Transition in a Quasiperiodic Chain

论文作者

Roy, Shilpi, Mishra, Tapan, Tanatar, B., Basu, Saurabh

论文摘要

已知有准碘疾病的系统以低维度表现出定位过渡。无序的临界强度之后,系统的所有状态都将局部定位,从而停止了系统中的粒子运动。但是,在我们的分析中,我们表明,在定位过渡后,在一个二维二聚晶格中,一些局部特征态在一系列中间疾病的强度方面扩展。最终,该系统在更高的疾病强度下进行了第二个定位过渡,从而导致所有州定位。我们还表明,这两个定位过渡与主持单个粒子迁移率边缘的移动性区域相关。我们通过分析特征范围,参与比和系统状态的密度来确定这种重点定位过渡。

Systems with quasiperiodic disorder are known to exhibit localization transition in low dimension. 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 localized. We also show that the two localization transitions are associated with the mobility regions hosting the single particle mobility edges. We establish this re-entrant localization transition by analyzing the eigenspectra, participation ratios and the density of states of the system.

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