Knowledge Management System of Institute of Theoretical Physics, CAS
Feng, Delong1; Cui, Yang1; Kang, Kai2; Qin, Shaojing ; Wang, Chuilin3
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| Localization behavior induced by asymmetric disorder for the one-dimensional Anderson model | |
| Source Publication | PHYSICAL REVIEW E
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| Language | 英语 |
| Keyword | BAND-CENTER EXPONENT |
| Abstract | The behavior of the Lyapunov exponent under a small asymmetric disorder distribution is investigated for the one-dimensional Anderson model in the vicinity of the band center and for finite in-band energies. The special effect that could be found in systems with an asymmetric disorder distribution is shown to be small through a perturbation calculation. We obtain a quadratic formula for the Lyapunov exponent and show the enhancement of localization close to the band center induced by asymmetric disorder distribution. We find zero correction for an asymmetric disorder distribution with finite in-band energies. This quantitative behavior of the Lyapunov exponent explains why various asymmetric factors could be neglected in weakly disordered real systems. It also shows in what situation the asymmetric property of the disorder distribution should be considered during study of the localization behavior with a higher accuracy. |
| 2019 | |
| ISSN | 2470-0045 |
| Volume | 100Issue:4Pages:42102 |
| Cooperation Status | 国内 |
| Subject Area | Physics |
| MOST Discipline Catalogue | Physics, Fluids & Plasmas ; Physics, Mathematical |
| DOI | 10.1103/PhysRevE.100.042102 |
| Indexed By | SCIE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/27016 |
| Collection | SCI期刊论文 计算平台成果 |
| Affiliation | 1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 3.China Acad Engn Phys, Inst Mat, 9 Huafengxincun, Jiangyou City 621908, Sichuan, Peoples R China 4.China Ctr Adv Sci & Technol, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Feng, Delong,Cui, Yang,Kang, Kai,et al. Localization behavior induced by asymmetric disorder for the one-dimensional Anderson model[J]. PHYSICAL REVIEW E,2019,100(4):42102. |
| APA | Feng, Delong,Cui, Yang,Kang, Kai,Qin, Shaojing,&Wang, Chuilin.(2019).Localization behavior induced by asymmetric disorder for the one-dimensional Anderson model.PHYSICAL REVIEW E,100(4),42102. |
| MLA | Feng, Delong,et al."Localization behavior induced by asymmetric disorder for the one-dimensional Anderson model".PHYSICAL REVIEW E 100.4(2019):42102. |
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