Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems

doi:10.1016/j.commatsci.2020.110242

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	Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems
	Chen, Huajie 1; Zhou, Aihui 2,3; Zhou, Yuzhi 4,5
	2021-02-15
发表期刊	COMPUTATIONAL MATERIALS SCIENCE
ISSN	0927-0256
卷号	188 页码:9
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.
关键词	Incommensurate systems Localized-extended transition Plane waves
DOI	10.1016/j.commatsci.2020.110242
收录类别	SCI
语种	英语
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
WOS类目	Materials Science, Multidisciplinary
WOS记录号	WOS:000620506500004
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58255
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.