Anomalous band center localization in the one-dimensional Anderson model with a disordered distribution of infinite variance

doi:10.1103/PhysRevE.105.024131

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	Anomalous band center localization in the one-dimensional Anderson model with a disordered distribution of infinite variance
	Cui, Yang 3; Feng, Delong 4; Kang, Kai 1; Qin, Shaojing
刊名	PHYSICAL REVIEW E
	2022
卷号	105 期号:2 页码:24131
关键词	UNIFIED DESCRIPTION BEHAVIOR
ISSN号	2470-0045
DOI	10.1103/PhysRevE.105.024131
英文摘要	We perform a detailed numerical study of the influence of distributions without a finite second moment on the Lyapunov exponent through the one-dimensional tight-binding Anderson model with diagonal disorder. Using the transfer matrix parametrization method and considering a specific distribution function, we calculate the Lyapunov exponent numerically and demonstrate its relation with the fractional lower order moments of the disorder probability density function. For the lower order of moments of disorder distribution with an infinite variance, we obtain the anomalous behavior near the band center.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27686]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Southwest Med Univ, Sch Med Informat & Engn, 1,Sect 1,Xianglin Rd, Luzhou City 646000, Sichuan, Peoples R China 2.Chengde Med Univ, Dept Biomed Engn, Anglian Rd, Chengde City 067000, Hebei, Peoples R China 3.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cui, Yang,Feng, Delong,Kang, Kai,et al. Anomalous band center localization in the one-dimensional Anderson model with a disordered distribution of infinite variance[J]. PHYSICAL REVIEW E,2022,105(2):24131.
APA	Cui, Yang,Feng, Delong,Kang, Kai,&Qin, Shaojing.(2022).Anomalous band center localization in the one-dimensional Anderson model with a disordered distribution of infinite variance.PHYSICAL REVIEW E,105(2),24131.
MLA	Cui, Yang,et al."Anomalous band center localization in the one-dimensional Anderson model with a disordered distribution of infinite variance".PHYSICAL REVIEW E 105.2(2022):24131.