ITP OpenIR  > 理论物理所科研产出  > SCI论文
Zhao, XG; Zhao, XG , Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China.
Dynamic effect of Bloch electrons in time-periodic electric fields
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
KeywordCharged-particle Oscillations Localization Superlattices Band
AbstractThe dynamic effect of Bloch electrons under the action of temporally periodic electric fields is studied. The explicit solutions for the quasienergies and the Floquet states are obtained exactly and generally, from which the localized or extended nature of Floquet states is demonstrated to be controlled by a reduced vector potential in one period of electric fields. When this reduced vector potential is an irrational, all the Floquet states are localized except the cases where the reduced vector potential is extremely well approximated by rationals(i.e., a Liouvilie number) and simultaneously the instersite hopping does not decay fast enough, for which the Floquet states are found to be more and more extended at large distances. When this reduced vector potential approaches an ordinary rational, all the Floquet states are extended. However, if the reduced vector potential has typical Diophantine properties, and if the intersite hopping decreases fast enough, the Floquet states cannot be extended.
1998
ISSN1006-9283
Volume41Issue:1Pages:64-70
Subject AreaPhysics
Indexed BySCI
Citation statistics
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/12391
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhao, XG , Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China.
Recommended Citation
GB/T 7714
Zhao, XG,Zhao, XG , Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China.. Dynamic effect of Bloch electrons in time-periodic electric fields[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,1998,41(1):64-70.
APA Zhao, XG,&Zhao, XG , Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China..(1998).Dynamic effect of Bloch electrons in time-periodic electric fields.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,41(1),64-70.
MLA Zhao, XG,et al."Dynamic effect of Bloch electrons in time-periodic electric fields".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 41.1(1998):64-70.
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