CSpace  > 应用数学研究所
Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice
Liu, Yanxia1; Wang, Yongjian2,3; Zheng, Zuohuan2,3,4; Chen, Shu1,5,6
2021-04-28
Source PublicationPHYSICAL REVIEW B
ISSN2469-9950
Volume103Issue:13Pages:9
AbstractWe analytically determine the non-Hermitian mobility edges of a one-dimensional quasiperiodic lattice model with exponentially decaying, hopping, and complex potentials as well as its dual model, which is just a non-Hermitian generalization of the Ganeshan-Pixley-Das Sarma model with nonreciprocal nearest-neighboring hopping. The presence of the non-Hermitian term destroys the self-duality symmetry and, thus, prevents us exploring the localization-delocalization point through looking for self-dual points. Nevertheless, by applying Avila's global theory, the Lyapunov exponent of the Ganeshan-Pixley-Das Sarma model can be exactly derived, which enables us to get an analytical expression of mobility edge of the non-Hermitian dual model. Consequently, the mobility edge of the original model is obtained by using the dual transformation, which creates exact mappings between the spectra and the wave functions of these two models.
DOI10.1103/PhysRevB.103.134208
Indexed BySCI
Language英语
Funding ProjectNational Key Research and Development Program of China[2016YFA0300600] ; NSFC[11974413] ; Strategic Priority Research Program of CAS[XDB33000000] ; NSF of China[12031020] ; NSF of China[11671382] ; NSF of China[12061031] ; 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:000646311100002
PublisherAMER PHYSICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58654
Collection应用数学研究所
Corresponding AuthorChen, Shu
Affiliation1.Chinese Acad Sci, Inst Phys, Betjing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
4.Hainan Normal Univ Haikou, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China
5.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
6.Yangtze River Delta Phys Res Ctr, Liyang 213300, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Liu, Yanxia,Wang, Yongjian,Zheng, Zuohuan,et al. Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice[J]. PHYSICAL REVIEW B,2021,103(13):9.
APA Liu, Yanxia,Wang, Yongjian,Zheng, Zuohuan,&Chen, Shu.(2021).Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice.PHYSICAL REVIEW B,103(13),9.
MLA Liu, Yanxia,et al."Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice".PHYSICAL REVIEW B 103.13(2021):9.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liu, Yanxia]'s Articles
[Wang, Yongjian]'s Articles
[Zheng, Zuohuan]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liu, Yanxia]'s Articles
[Wang, Yongjian]'s Articles
[Zheng, Zuohuan]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liu, Yanxia]'s Articles
[Wang, Yongjian]'s Articles
[Zheng, Zuohuan]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.