Gedik, Z.Bayındır, Mehmet2016-02-082016-02-0819990038-1098http://hdl.handle.net/11693/25207We 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.EnglishCrystal impuritiesEigenvalues and eigenfunctionsElectron gasElectron scatteringHall effectMagnetic field effectsMatrix algebraQuantum theoryLandau levelQuantum Hall effectQuantum localizationSolid state physicsArticle10.1016/S0038-1098(99)00292-6