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Article: Statistical analysis of magnetic-field spectra

TitleStatistical analysis of magnetic-field spectra
Authors
KeywordsPhysics
Issue Date1998
PublisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/
Citation
Physical Review B (Condensed Matter), 1998, v. 58 n. 19, p. 13094-13098 How to Cite?
AbstractWe have calculated and statistically analyzed the magnetic-field spectrum (the B spectrum) at fixed electron Fermi energy for two quantum dot systems with classically chaotic shape. This problem arises naturally in transport measurements where the incoming electron has a fixed energy while one tunes the magnetic field to obtain resonance conductance patterns. The B spectrum, defined as the collection of values {Bi} at which conductance g(Bi) takes extremal values, is determined by a quadratic eigenvalue equation, in distinct difference to the usual linear eigenvalue problem satisfied by the energy levels. We found that the lower part of the B spectrum satisfies the distribution belonging to the Gaussian unitary ensemble, while the higher part obeys a Poisson-like behavior. We also found that the B spectrum fluctuations of the chaotic system are consistent with the results we obtained from random matrices.
Persistent Identifierhttp://hdl.handle.net/10722/43245
ISSN
2001 Impact Factor: 3.07
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWang, Jen_HK
dc.contributor.authorGuo, Hen_HK
dc.date.accessioned2007-03-23T04:42:05Z-
dc.date.available2007-03-23T04:42:05Z-
dc.date.issued1998en_HK
dc.identifier.citationPhysical Review B (Condensed Matter), 1998, v. 58 n. 19, p. 13094-13098en_HK
dc.identifier.issn0163-1829en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43245-
dc.description.abstractWe have calculated and statistically analyzed the magnetic-field spectrum (the B spectrum) at fixed electron Fermi energy for two quantum dot systems with classically chaotic shape. This problem arises naturally in transport measurements where the incoming electron has a fixed energy while one tunes the magnetic field to obtain resonance conductance patterns. The B spectrum, defined as the collection of values {Bi} at which conductance g(Bi) takes extremal values, is determined by a quadratic eigenvalue equation, in distinct difference to the usual linear eigenvalue problem satisfied by the energy levels. We found that the lower part of the B spectrum satisfies the distribution belonging to the Gaussian unitary ensemble, while the higher part obeys a Poisson-like behavior. We also found that the B spectrum fluctuations of the chaotic system are consistent with the results we obtained from random matrices.en_HK
dc.format.extent122212 bytes-
dc.format.extent25600 bytes-
dc.format.extent5108 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysical Review B (Condensed Matter). Copyright © American Physical Society.en_HK
dc.subjectPhysicsen_HK
dc.titleStatistical analysis of magnetic-field spectraen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0163-1829&volume=58&issue=19&spage=13094&epage=13098&date=1998&atitle=Statistical+analysis+of+magnetic-field+spectraen_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevB.58.13094en_HK
dc.identifier.scopuseid_2-s2.0-16644390777-
dc.identifier.hkuros38933-
dc.identifier.isiWOS:000077295500087-

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