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

文献类型：期刊论文

作者Wang, Yucheng7,8,9; Xia, Xu5,6; Wang, Yongjian3,4; Zheng, Zuohuan2,3,4; Liu, Xiong-Jun1,7,8,9
刊名PHYSICAL REVIEW B
出版日期2021-05-18
卷号103期号:17页码:7
ISSN号2469-9950
DOI10.1103/PhysRevB.103.174205
英文摘要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.
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
语种英语
WOS记录号WOS:000655867600002
出版者AMER PHYSICAL SOC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/58737]  
专题应用数学研究所
通讯作者Wang, Yucheng
作者单位1.Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China
2.Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
5.Nankai Univ, LPMC, Tianjin 300071, Peoples R China
6.Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China
7.Collaborat Innovat Ctr Quantum Matter, Beijing 100871, Peoples R China
8.Peking Univ, Int Ctr Quantum Mat, Sch Phys, Beijing 100871, Peoples R China
9.Southern Univ Sci & Technol, Shenzhen Inst Quantum Sci & Engn, Shenzhen 518055, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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