Prog. Theor. Phys. Vol. 70 No. 4 (1983) pp. 954-960
Velocity Correlation Function of Electron Interacting with Impurity Centers in Two Dimensions
Department of Physics, Nagoya University, Nagoya 464
(Received May 11, 1983)
Using Green function method and Feynman diagram techniques, we calculate the canonical velocity correlation function for independent electrons interacting with static impurity scattering centers. For low impurity density, we obtain three kinds of term showing power-law decays at long times. One behaves as 1/ t and is of O(\hbar/ EFτ) at t= τ (EF: Fermi energy; τ: relaxation time of electron), which is related to the Anderson localization. The other two terms behave as 1/ t2 and are of O(\hbar/ EFτ) and of O(niA2) (ni: impurity number density; A: scattering cross section) respectively. A half of the term of O(niA2) originates from a classical process–we show that the result agrees with that of the classical Lorentz model–and the other falf from a quantal process.
DOI : 10.1143/PTP.70.954
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Citing Article(s) :
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(6 pages) :
Effect of Magnetic Impurity Scattering on Superconducting Transition in Low Dimensions: Effect of Long-Time-Tail of Magnetization Diffusion
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