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

doi:10.1103/PhysRevB.103.134208

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, Yanxia 1; Wang, Yongjian 2,3; Zheng, Zuohuan2,3,4 ; Chen, Shu 1,5,6
	2021-04-28
发表期刊	PHYSICAL REVIEW B
ISSN	2469-9950
卷号	103 期号:13 页码:9
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.
DOI	10.1103/PhysRevB.103.134208
收录类别	SCI
语种	英语
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
WOS类目	Materials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter
WOS记录号	WOS:000646311100002
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/58654
专题	应用数学研究所
通讯作者	Chen, Shu
作者单位	1.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
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.