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dc.contributor.authorGedik, Z.en_US
dc.contributor.authorBayındır, Mehmeten_US
dc.date.accessioned2016-02-08T10:40:50Z
dc.date.available2016-02-08T10:40:50Z
dc.date.issued1999en_US
dc.identifier.issn0038-1098
dc.identifier.urihttp://hdl.handle.net/11693/25207
dc.description.abstractWe study the localization properties of a two-dimensional noninteracting electron gas in the presence of randomly distributed short-range scatterers in very high magnetic fields. We evaluate the participation number of the eigenstates obtained by exact diagonalization technique. At low impurity concentrations we obtain self-averaged values showing that all states, except those exactly at the Landau level, are localized with finite localization length. We conclude that in this dilute regime the localization length does not diverge. We also find that the maximum localization length increases exponentially with impurity concentration. Our calculations suggest that scaling behavior may be absent even for higher concentrations of scatterers.en_US
dc.language.isoEnglishen_US
dc.source.titleSolid State Communicationsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/S0038-1098(99)00292-6en_US
dc.subjectCrystal impuritiesen_US
dc.subjectEigenvalues and eigenfunctionsen_US
dc.subjectElectron gasen_US
dc.subjectElectron scatteringen_US
dc.subjectHall effecten_US
dc.subjectMagnetic field effectsen_US
dc.subjectMatrix algebraen_US
dc.subjectQuantum theoryen_US
dc.subjectLandau levelen_US
dc.subjectQuantum Hall effecten_US
dc.subjectQuantum localizationen_US
dc.subjectSolid state physicsen_US
dc.titleDisorder and localization in the lowest Landau level in the presence of dilute point scatterersen_US
dc.typeArticleen_US
dc.departmentDepartment of Physicsen_US
dc.citation.spage157en_US
dc.citation.epage160en_US
dc.citation.volumeNumber112en_US
dc.citation.issueNumber3en_US
dc.identifier.doi10.1016/S0038-1098(99)00292-6en_US
dc.publisherPergamon Pressen_US
dc.contributor.bilkentauthorBayındır, Mehmet


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