Density Expansion for the Mobility in a Quantum Lorentz Model

Details Density Expansion for the Mobility in a Quantum Lorentz Model Density Expansion for the Mobility in a Quantum Lorentz Model

1994-10-10

arxiv.org/abs/cond-mat/9410033v1

Physics

Condensed Matter

17pp., REVTeX, 7 figure attached as 8 postscript files, db/94/4

Scientific paper

10.1103/PhysRevE.52.612

We consider the mobility of electrons in an environment of static hard-sphere scatterers, which provides a realistic description of electrons in Helium gas. A systematic expansion in the scatterer density is carried to second order relative to the Boltzmann result, and the analytic contribution at this order is derived, together with the known logarithmic term in the density expansion. It is shown that existing experimental data are consistent with the existence of the logarithmic term in the density expansion, but more precise experiments are needed in order to unambiguously detect it. We show that our calculations provide the necessary theoretical information for such an experiment, and give a detailed discussion of a suitable parameter range.

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