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Article: Universal conductance fluctuation of mesoscopic systems in the metal-insulator crossover regime

TitleUniversal conductance fluctuation of mesoscopic systems in the metal-insulator crossover regime
Authors
KeywordsPhysics
Issue Date2010
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B: Condensed Matter and Materials Physics, 2010, v. 81 n. 8 article no. 085114 How to Cite?
AbstractWe report a theoretical investigation on conductance fluctuation of mesoscopic systems. Extensive numerical simulations on quasi-one-dimensional, two-dimensional, and quantum dot systems with different symmetriescircular orthogonal ensemble, circular unitary ensemble (CUE), and 〔circular symplectic ensemble (CSE)〕indicate that the conductance fluctuation can reach a universal value in the crossover regime for systems with CUE and CSE symmetries. The conductance distribution is found to be a universal function from diffusive to localized regimes that depends only on the average conductance, dimensionality, and symmetry of the system. The numerical solution of DMPK equation agrees with our result in quasi-one dimension. Our numerical results in two dimensions suggest that this universal conductance fluctuation is related to the metal-insulator transition. In the localized regime with average conductance <0.3, the conductance distribution seems to be superuniversal independent of dimensionality and symmetry.
Persistent Identifierhttp://hdl.handle.net/10722/80716
ISSN
2014 Impact Factor: 3.736
2015 SCImago Journal Rankings: 1.933
ISI Accession Number ID
Funding AgencyGrant Number
RGCHKU 704308P
HKSAR
LuXin Energy Group
Funding Information:

This work was financially supported by a RGC grant (Grant No. HKU 704308P) from the government of HKSAR and LuXin Energy Group. We wish to thank J. R. Shi for providing the code of solving DMPK equation. Computer Centre of The University of Hong Kong is gratefully acknowledged for the high-performance computing assistance.

Grants

 

DC FieldValueLanguage
dc.contributor.authorQiao, Zen_HK
dc.contributor.authorXing, Yen_HK
dc.contributor.authorWang, Jen_HK
dc.date.accessioned2010-09-06T08:09:30Z-
dc.date.available2010-09-06T08:09:30Z-
dc.date.issued2010en_HK
dc.identifier.citationPhysical Review B: Condensed Matter and Materials Physics, 2010, v. 81 n. 8 article no. 085114en_HK
dc.identifier.issn1098-0121en_HK
dc.identifier.urihttp://hdl.handle.net/10722/80716-
dc.description.abstractWe report a theoretical investigation on conductance fluctuation of mesoscopic systems. Extensive numerical simulations on quasi-one-dimensional, two-dimensional, and quantum dot systems with different symmetriescircular orthogonal ensemble, circular unitary ensemble (CUE), and 〔circular symplectic ensemble (CSE)〕indicate that the conductance fluctuation can reach a universal value in the crossover regime for systems with CUE and CSE symmetries. The conductance distribution is found to be a universal function from diffusive to localized regimes that depends only on the average conductance, dimensionality, and symmetry of the system. The numerical solution of DMPK equation agrees with our result in quasi-one dimension. Our numerical results in two dimensions suggest that this universal conductance fluctuation is related to the metal-insulator transition. In the localized regime with average conductance <G><0.3, the conductance distribution seems to be superuniversal independent of dimensionality and symmetry.-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_HK
dc.relation.ispartofPhysical Review B: Condensed Matter and Materials Physicsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysical Review B: Condensed Matter and Materials Physics. Copyright © American Physical Society.en_HK
dc.subjectPhysics-
dc.titleUniversal conductance fluctuation of mesoscopic systems in the metal-insulator crossover regimeen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1098-0121&volume=81&issue=8 article no. 085114&spage=&epage=&date=2010&atitle=Universal+conductance+fluctuation+of+mesoscopic+systems+in+the+metal-insulator+crossover+regimeen_HK
dc.identifier.emailXing, Y: xyx@aphy.iphy.ac.cnen_HK
dc.identifier.emailWang, J: jianwang@hkusub.hku.hk, jianwang@hkusua.hku.hken_HK
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.81.085114-
dc.identifier.scopuseid_2-s2.0-77954867317-
dc.identifier.hkuros169492en_HK
dc.identifier.volume81-
dc.identifier.issue8 article no. 085114-
dc.identifier.isiWOS:000275053300041-
dc.relation.projectThe first principle study of local heating and heat transport in nano-devices-

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