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Article: Statistics of Wigner delay time in Anderson disordered systems

TitleStatistics of Wigner delay time in Anderson disordered systems
Authors
Issue Date2011
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B (Condensed Matter and Materials Physics), 2011, v. 84 n. 2, article no. 024205, p. 024205-1-024205-9 How to Cite?
AbstractWe numerically investigate the statistical properties of Wigner delay time in Anderson disordered 1D, 2D, and quantum dot (QD) systems. The distribution of proper delay time for each conducting channel is found to be universal in 2D and QD systems for all Dyson's symmetry classes and shows a piecewise-power-law behavior in the strongly localized regime. Two power-law behaviors were identified with asymptotical scaling τ-1.5 and τ-2, respectively, that are independent of the number of conducting channels and Dyson's symmetry class. Two power-law regimes are separated by the relevant time scale τ0h/Δ, where Δ is the average level spacing. It is found that the existence of necklace states is responsible for the second power-law behavior τ-2, which has an extremely small distribution probability. © 2011 American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/139635
ISSN
2014 Impact Factor: 3.736
2015 SCImago Journal Rankings: 1.933
ISI Accession Number ID
Funding AgencyGrant Number
RGC, HKSARHKU 704308P
LuXin Energy Group
Funding Information:

This work is supported by RGC Grant No. HKU 704308P from the HKSAR and LuXin Energy Group. We thank the HPC POWER of the computer center, HKU, for the intensive computation.

Grants

 

DC FieldValueLanguage
dc.contributor.authorXu, Fen_US
dc.contributor.authorWang, Jen_US
dc.date.accessioned2011-09-23T05:52:48Z-
dc.date.available2011-09-23T05:52:48Z-
dc.date.issued2011en_US
dc.identifier.citationPhysical Review B (Condensed Matter and Materials Physics), 2011, v. 84 n. 2, article no. 024205, p. 024205-1-024205-9en_US
dc.identifier.issn1098-0121-
dc.identifier.urihttp://hdl.handle.net/10722/139635-
dc.description.abstractWe numerically investigate the statistical properties of Wigner delay time in Anderson disordered 1D, 2D, and quantum dot (QD) systems. The distribution of proper delay time for each conducting channel is found to be universal in 2D and QD systems for all Dyson's symmetry classes and shows a piecewise-power-law behavior in the strongly localized regime. Two power-law behaviors were identified with asymptotical scaling τ-1.5 and τ-2, respectively, that are independent of the number of conducting channels and Dyson's symmetry class. Two power-law regimes are separated by the relevant time scale τ0h/Δ, where Δ is the average level spacing. It is found that the existence of necklace states is responsible for the second power-law behavior τ-2, which has an extremely small distribution probability. © 2011 American Physical Society.-
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_US
dc.relation.ispartofPhysical Review B (Condensed Matter and Materials Physics)en_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong Licenseen_US
dc.rightsPhysical Review B (Condensed Matter and Materials Physics). Copyright © American Physical Society.-
dc.titleStatistics of Wigner delay time in Anderson disordered systemsen_US
dc.typeArticleen_US
dc.identifier.emailXu, F: fumingxu@hku.hken_US
dc.identifier.emailWang, J: jianwang@hku.hk-
dc.identifier.authorityWang, J=rp00799en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.84.024205-
dc.identifier.scopuseid_2-s2.0-79961201347-
dc.identifier.hkuros195399en_US
dc.identifier.volume84en_US
dc.identifier.issue2-
dc.identifier.spage024205-1en_US
dc.identifier.epage024205-9en_US
dc.identifier.isiWOS:000292510800005-
dc.publisher.placeUnited States-
dc.relation.projectThe first principle study of local heating and heat transport in nano-devices-

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