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Electron scattering in atomic liquids: application to the maximum of electron mobility

Atrazhev, V. and Berezhnov, A. and Timoshkin, I. (2002) Electron scattering in atomic liquids: application to the maximum of electron mobility. Physical Review B: Condensed Matter and Materials Physics, 66 (20). pp. 2051-06. ISSN 1098-0121

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Abstract

The phenomenon of the maximum of the electron mobility in liquids with a high atomic polarizability at the density Nm is explained by the suggestion of weakness of the s-wave scattering at this density. The model of the electron scattering by short-range potentials limited within the Wigner-Seitz cells is used. This model describes the change of the scattering length and predicts a zero value of the scattering length at the density Nm. The s- and p-wave phase shifts are calculated for this density. It is found that the cross section of the Wigner-Seitz cell is proportional to the electron energy squared and is negligible for slow electrons. Fluctuations of the liquid density result in fluctuations of the Wigner-Seitz cell radius. The s- and p-wave phase shifts and the mean cross section for the electron scattering by fluctuations are calculated. The phase shifts for an isolated atom are used as initial parameters. The mean cross section has a small but finite value for slow electrons and it decreases with the growth of the electron energy. It is shown that slow electrons are scattered by the fluctuations of the liquid density, and fast electrons are scattered by the Wigner-Seitz cells.