Thomas fermi screening constant values
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The standard tools are: the Green’s function formalism Doniach and Sondheimer, density functional theory (DFT) Coutinho Hohenberg and Kohn Giuliani and Vignale and first order time-dependent perturbation theory of quantum mechanics Weinberg. Our findings show that for the majority of collisions the scattering probabilities differ at the most by 1 %, and in general are underestimated by roughly 10 % for large wave vector transfer compared to those computed through the exact electron-impurity screened potential, at the random phase approximation level, via the finite temperature dynamical dielectric function.ĭifferent theoretical approaches have been proposed to tackle the problem of interactions between point-like ionized impurities and electrons in solids. Moreover we examine the behavior of the electron-impurity differential cross-sections in the first Born approximation for relevant values of wave vector transfer. Our previous findings show that is not the case for the carrier nondegenerate dynamics. The Thomas-Fermi linear screening can provide a firm underpinning for the electron-impurity short-range interaction of Yukawa form only insofar as the wave vector transfer is negligible.
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We aim to show that computing electron-impurity scattering rate in first order via Fermi’s golden rule, assuming that the localized impurity potential is of Yukawa form, one obtains a wave vector tansfer distribution which is inconsistent with the finite temperature linearized Thomas-Fermi approximation for n-type semiconductors.
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