Electron Localization in a Two-Dimensional System in Strong Magnetic Fields.I.Case of Short-Range Scatterers

概要

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A computer simulation is performed to study localization of a two-dimensionalelectron system in strong magnetic fields. Scatterers with short-range J-potentialsare asstuned, and the localization criterion based on the Thouless number g(L) isemployed. It is shown that states are localized exponentially except in the vicinityof the center of each Landau level. The decay rate of the localized wave function,i.e., the inverse localization length, approaches zero smoothly at the center. Thissuggests that only the states just at the center of the Landau level are not localizedand all the other states are exponentially localized, although the localizationlength is extremely large near the center. The energy range where the localiza-lion length is extremely large becomes wider with the Landau level index.
社団法人日本物理学会の論文
1983-05-15