Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice

doi:10.1103/PhysRevB.103.134208

	Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice
	Liu, Yanxia 6; Wang, Yongjian 4,5; Zheng, Zuohuan 3,4,5; Chen, Shu 1,2,6
刊名	PHYSICAL REVIEW B
	2021-04-28
卷号	103 期号:13 页码:9
ISSN号	2469-9950
DOI	10.1103/PhysRevB.103.134208
英文摘要	We 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.
资助项目	National 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研究方向	Materials Science ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000646311100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58653]
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Shu
作者单位	1.Yangtze River Delta Phys Res Ctr, Liyang 213300, Jiangsu, Peoples R China 2.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 3.Hainan Normal Univ Haikou, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 6.Chinese Acad Sci, Inst Phys, Betjing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
推荐引用方式 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.