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(Seminar) Level statistics and Anderson delocalization in two-dimensional granular materials
2021-03-12     Text Size:  A

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Seminar

Title

题目

Level statistics and Anderson delocalization in two-dimensional granular materials

Speaker

报告人

张玲

Affiliation

所在单位

中南大学

Date

日期

2021年3月12日周五16:00

Venue

地点

腾讯会议 (ID:177 514 448)

Contact Person

所内联系人

金瑜亮

Abstract

摘要

Contrary to the theoretical predictions of one-parameter scaling theory, that all waves in two-dimensional disordered materials are localized, Anderson localization is observed only for sufficiently high frequencies in an isotropically jammed two-dimensional disordered granular packing of photoelastic disks. More specifically, we have performed an experiment in analyzing the level statistics of normal mode vibrations. We find that the level[1]distance distribution obeys Gaussian-Orthogonal-Ensemble (GOE) statistics of the Wigner-Dyson classification, in the low-frequency (boson-peak) and intermediate frequency regime, whereas in the high-frequency regime Poisson statistics are observed. This means that at the low and intermediate frequencies we have delocalized modes, and only at the very high frequencies localized modes exist. Evaluating the system-size dependence of the delocalization-localization crossover frequency we obtain evidence for a true transition with a mobility edge at 80% of the Debye frequency and a value of the critical correlation-length exponent ν ~1.66 being similar to that of the three-dimensional electronic Anderson model. We argue that for force-constant disorder one-parameter scaling might not be applicable.

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