Random matrix approach to the boson peak and Ioffe-Regel criterion in amorphous solids

D. A. Conyuh, Y. Beltukov
{"title":"Random matrix approach to the boson peak and Ioffe-Regel criterion in amorphous solids","authors":"D. A. Conyuh, Y. Beltukov","doi":"10.1103/PHYSREVB.103.104204","DOIUrl":null,"url":null,"abstract":"We show that the correlated Wishart ensemble can be used to study general vibrational properties of stable amorphous solids with translational invariance. Using the random matrix theory, we found the vibrational density of states and the dynamical structure factor. We demonstrate the presence of the Ioffe-Regel crossover between low-frequency propagating phonons and diffusons at higher frequencies. The reduced vibrational density of states shows the boson peak, which frequency is close to the Ioffe-Regel crossover.","PeriodicalId":8438,"journal":{"name":"arXiv: Disordered Systems and Neural Networks","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Disordered Systems and Neural Networks","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/PHYSREVB.103.104204","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6

Abstract

We show that the correlated Wishart ensemble can be used to study general vibrational properties of stable amorphous solids with translational invariance. Using the random matrix theory, we found the vibrational density of states and the dynamical structure factor. We demonstrate the presence of the Ioffe-Regel crossover between low-frequency propagating phonons and diffusons at higher frequencies. The reduced vibrational density of states shows the boson peak, which frequency is close to the Ioffe-Regel crossover.
非晶固体中玻色子峰和Ioffe-Regel判据的随机矩阵方法
我们证明了相关的Wishart系综可以用于研究具有平移不变性的稳定非晶固体的一般振动性质。利用随机矩阵理论,求出了状态的振动密度和动力结构因子。我们证明了低频传播声子和高频扩散声子之间存在Ioffe-Regel交叉。降低后的态的振动密度显示玻色子峰,其频率接近Ioffe-Regel交叉。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信