Electron Localization in a Two-Dimensional System in Strong Magnetic Fields.II.Long-Range Scatterers and Response Functions
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A computer simulation is performed to study the problem of the AndersonIocalization in a two-dimensional electron system in strong magnetic fields.Scatterers with a long-range Gaussian potential are assumed and the localizationcriterion based on the Thouless number g(L) is employed. The states are shownto be exponentially localized except those in the vicinity of the center of theLandau level. Large statistical fluctuations inherent to the case of long-rangescatterers prevent accurate determination of the detailed energy dependence of theinverse localization length. Response functions.such as the Hall conductivity, thedynamical conductivity, and the Iineshape of the cyclotron resonance are alsocalculated and compared with the results of the single-site approximation. Thepeak values of the diagonal conductivity are shown to be larger than the resultscalculated in the single-site approximation.
- 社団法人日本物理学会の論文
- 1984-09-15
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