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• W2000676899 abstract "Abstract The correlation function formula for the dynamic conductivity of a system of non-interacting electrons in the field of impurities is analyzed in terms of proper connected diagrams. By selecting those diagrams appropriate in the region of weak coupling and low impurity concentration, a set of coupled equations for the energy broadening γ (ω, e, n s ) and the energy shift Δ(ω, e, n s ) is derived, where both γ and Δ depend on the frequency ω of a probing field, the energy e of the electron, and the concentration, n g , of impurities. With the assumption of a finite range potential, these equations are solved. It is found that γ (ω, n s ) is smaller than that extrapolated value which the conventional expression γ 0 for the low-concentration collision frequency would predict, in the entire region studied, that the difference γ 0 -γ becomes appreciable when the ratio of the average time between scatterings, τ c , to the average duration of a scattering, τ d , is 100 or less, that γ (ω, n s ) decreases monotonically from its static value γ (0, n s ), and becomes vanishingly small in the region ω≈1/τ d , and that in the static limit (ω=0), γ=γ 0 [1−(2/π) (γ 0 τ d )+…], that the energy shift Δ is positive, and increases from 0 and reach a peak of magnitude γ 0 as ω is raised from 0. By using the γ and Δ obtained, the dynamic conductivity σ(ω, n s ) for degenerated electrons is calculated. The deviation, σ-σ 0 , from the conventional expression σ 0 =(− i ) ( n e e 2 /M ) [ω- i Γ 0 ] −1 , ( n e ]=number density of electrons), for 0°K, is appreciable when the ratio τ c /τ d is 100 or less. The field-term correction, which arises from the modification of the scattering due to the probing field, is found to be negligible in the entire region studied." @default.
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• W2000676899 date "1973-12-01" @default.
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• W2000676899 title "On the dynamic conductivity for an electron-impurity system" @default.
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• W2000676899 doi "https://doi.org/10.1016/s0022-3697(73)80056-3" @default.
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