Potential Energy Fluctuation in Quasi Two-Dimensional Electron Gas Due to External Ionized Impurities
P. Kębliński
Institute of Physics, Poljsh Academy of Science ,al. Lotników 32/46, 02-668 Warszawa, Poland
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Two-dimensional electron gas separated from Coulomb centers by a spacer is considered. Electrons are treated semi classically in limit of weak fluctuation and T = 0. Two screening models, Thomas-Fermi and RPA, are in dependently used. The second moment of the potential energy distribution is calculated analytically as a function of the spacer width. The qualitative arguments for the Gaussian character of the distribution are given and the density of states for such a distribution is calculated.
DOI: 10.12693/APhysPolA.80.321
PACS numbers: 73.20.Hb