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{\Large \bf Coulomb interaction effects on Anderson localization of electrons}
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{\large V.~Filinov$^{1}$, P.~Thomas$^{2}$, I.~Varga$^{3}$, T.~Meier$^{2}$,
M.~Bonitz$^{4}$, V.~Fortov$^{1}$ and S.W.~Koch$^{2}$}

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$^1$High Energy Density Center of the RAS, Moscow\\
$^2$FB Physik, Philipps-Universit\"at Marburg, Germany\\
$^3$Elm\'eleti Fizika Tansz\'ek, Budapesti M\H uszaki \'es
         Gazdas\'agtudom\'anyi Egyetem, H-1521 Budapest, Hungary\\
$^{4}$FB Physik, Rostock University, D-18051 Rostock, Germany\\

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\noindent
Noninteracting electrons in an array of fixed
random scatterers are known to
experience Anderson localization at temperature $T=0$ in one-dimensional
systems. If localization persists at finite temperature and in the case of
interacting electrons remains an actively debated issue, closely related to
recent results on the metal-insulator transition.

We apply a novel first-principle simulation technique [1,2] which combines both molecular
dynamics and Quantum Monte Carlo methods [3] and compute pair distributions,
momentum-momentum correlation functions and spatial dispersions.

The results show, at low temperatures, Anderson localization tendencies. Furthermore,
they clearly demonstrate that the Coulomb interaction
between the electrons leads to an enhancement of the conductivity and spatial dispersion
compared to the noninteracting case [2].

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\noindent [1] V.~Filinov, J. Mol. Phys. {\bf 88}, 1517, 1529 (1996)

\noindent [2] V.~Filinov, P.~Thomas, I.~Varga, T.~Meier,
M.~Bonitz, V.~Fortov and S.W.~Koch, Phys. Rev. B {\bf 65}, 165124 (2002)

\noindent [3] V.~Filinov, M.~Bonitz, W.~Ebeling, and V.E.~Fortov,
Plasma Physics and Controlled Fusion {\bf 43}, 743-759 (2001)


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