Duality between two generalized Aubry-Andre models with exact mobility edges

doi:10.1103/PhysRevB.103.174205

CSpace > 应用数学研究所

	Duality between two generalized Aubry-Andre models with exact mobility edges
	Wang, Yucheng 1,2,3; Xia, Xu 4,5; Wang, Yongjian 6,7; Zheng, Zuohuan6,7,8 ; Liu, Xiong-Jun 1,2,3,9
	2021-05-18
发表期刊	PHYSICAL REVIEW B
ISSN	2469-9950
卷号	103 期号:17 页码:7
摘要	A mobility edge (ME) in energy separating extended from localized states is a central concept in understanding various fundamental phenomena, such as the metal-insulator transition in disordered systems. In one-dimensional quasiperiodic systems, there exist a few models with exact MEs, and these models are beneficial to provide exact understanding of ME physics. Here we investigate two widely studied models including exact MEs, one with an exponential hopping and one with a special form of incommensurate on-site potential. We analytically prove that the two models are mutually dual and further give the numerical verification by calculating the inverse participation ratio and Husimi function. Our result may provide insight into realizing and observing exact MEs in both theory and experiment.
DOI	10.1103/PhysRevB.103.174205
收录类别	SCI
语种	英语
资助项目	National Nature Science Foundation of China[11825401] ; National Nature Science Foundation of China[11761161003] ; National Nature Science Foundation of China[11921005] ; National Key R&D Program of China[2016YFA0301604] ; Guangdong Innovative and Entrepreneurial Research Team Program[2016ZT06D348] ; Science, Technology and Innovation Commission of Shenzhen Municipality[KYTDPT20181011104202253] ; Open Project of Shenzhen Institute of Quantum Science and Engineering[SIQSE202003] ; Strategic Priority Research Program of Chinese Academy of Science[XDB28000000] ; NanKai Zhide Foundation ; National Natural Science Foudation of China[12061031] ; NSF of China[12031020] ; NSF of China[11671382] ; CAS Key Project of Frontier Sciences[QYZDJ-SSW-JSC003] ; Key Laboratory of Random Complex Structures and Data Sciences CAS ; National Center for Mathematics and Interdisciplinary Sciences CAS
WOS研究方向	Materials Science ; Physics
WOS类目	Materials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter
WOS记录号	WOS:000655867600002
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58738
专题	应用数学研究所
通讯作者	Wang, Yucheng
作者单位	1.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, Peoples R China 2.Peking Univ, Int Ctr Quantum Mat, Sch Phys, Beijing 100871, Peoples R China 3.Collaborat Innovat Ctr Quantum Matter, Beijing 100871, Peoples R China 4.Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China 5.Nankai Univ, LPMC, Tianjin 300071, Peoples R China 6.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 7.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 8.Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China 9.Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yucheng,Xia, Xu,Wang, Yongjian,et al. Duality between two generalized Aubry-Andre models with exact mobility edges[J]. PHYSICAL REVIEW B,2021,103(17):7.
APA	Wang, Yucheng,Xia, Xu,Wang, Yongjian,Zheng, Zuohuan,&Liu, Xiong-Jun.(2021).Duality between two generalized Aubry-Andre models with exact mobility edges.PHYSICAL REVIEW B,103(17),7.
MLA	Wang, Yucheng,et al."Duality between two generalized Aubry-Andre models with exact mobility edges".PHYSICAL REVIEW B 103.17(2021):7.