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Duality between two generalized Aubry-Andre models with exact mobility edges
Wang, Yucheng1,2,3; Xia, Xu4,5; Wang, Yongjian6,7; Zheng, Zuohuan6,7,8; Liu, Xiong-Jun1,2,3,9
2021-05-18
Source PublicationPHYSICAL REVIEW B
ISSN2469-9950
Volume103Issue:17Pages:7
AbstractA 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.
DOI10.1103/PhysRevB.103.174205
Indexed BySCI
Language英语
Funding ProjectNational 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 Research AreaMaterials Science ; Physics
WOS SubjectMaterials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter
WOS IDWOS:000655867600002
PublisherAMER PHYSICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58738
Collection应用数学研究所
Corresponding AuthorWang, Yucheng
Affiliation1.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
Recommended Citation
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.
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