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Dynamic effect of Bloch electrons in time-periodic electric fields
Zhao, XG; Zhao, XG , Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China.
1998
发表期刊SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
卷号41期号:1页码:64-70
摘要The 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.
部门归属Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Charged-particle Oscillations Localization Superlattices Band
学科领域Physics
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收录类别SCI
WOS记录号WOS:000071614500009
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/12391
专题理论物理所1978-2010年知识产出
通讯作者Zhao, XG , Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China.
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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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