中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems

文献类型：期刊论文

作者Chen, Huajie1; Zhou, Aihui2,3; Zhou, Yuzhi4,5
刊名COMPUTATIONAL MATERIALS SCIENCE
出版日期2021-02-15
卷号188页码:9
关键词Incommensurate systems Localized-extended transition Plane waves
ISSN号0927-0256
DOI10.1016/j.commatsci.2020.110242
英文摘要Based on our recently proposed plane wave framework, we theoretically study the localized-extended transition in the one dimensional incommensurate systems with cosine type of potentials, which are in close connection to many recent experiments of the ultracold atoms and photonic crystals. With the aid of numerical calculations, we formulate a propagator based scattering picture to explain the transition at the ground state and single particle mobility edge, in which deeper connections among the incommensurate potentials, eigenstate compositions and transition mechanism are revealed. We further show that there exists an upper limit of localization length for all localized eigenstates, leading to a fundamental difference to the Anderson localization. The scattering picture provides unique insights on the localization mechanism in the incommensurate systems, and can be generalized to study the more complex phenomena in higher dimensions, with different potentials or beyond the single particle regime.
资助项目National Key Research and Development of China[2019YFA0709601] ; Natural Science Foundation of China[11971066] ; Key Research Program of Frontier Sciences of the Chinese Academy of Sciences[QYZDJ-SSW-SYS010] ; National Science Foundation of China[12004047]
WOS研究方向Materials Science
语种英语
WOS记录号WOS:000620506500004
出版者ELSEVIER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58254]  
专题中国科学院数学与系统科学研究院
通讯作者Zhou, Yuzhi
作者单位1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
2.Chinese Acad Sci, Inst Computat Math & Sci, LSEC, Engn Comp Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.CAEP Software Ctr High Performance Numer Simulat, Huayuan Rd 6, Beijing 100088, Peoples R China
5.Inst Appl Phys & Computat Math, Fenghao East Rd 2, Beijing 100094, Peoples R China
推荐引用方式
GB/T 7714		 Chen, Huajie,Zhou, Aihui,Zhou, Yuzhi. Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems[J]. COMPUTATIONAL MATERIALS SCIENCE,2021,188:9.
APA Chen, Huajie,Zhou, Aihui,&Zhou, Yuzhi.(2021).Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems.COMPUTATIONAL MATERIALS SCIENCE,188,9.
MLA Chen, Huajie,et al."Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems".COMPUTATIONAL MATERIALS SCIENCE 188(2021):9.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。