Dynamic effect of Bloch electrons in time-periodic electric fields

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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
ISSN	1006-9283
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
引用统计
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.
推荐引用方式 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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