# Variational theory of elastic manifolds with correlated disorder and localization of interacting quantum particles.

@article{Giamarchi1996VariationalTO,
title={Variational theory of elastic manifolds with correlated disorder and localization of interacting quantum particles.},
author={Giamarchi and P LeDoussal},
journal={Physical review. B, Condensed matter},
year={1996},
volume={53 22},
pages={
15206-15225
}
}
• Published 2 September 1995
• Physics, Medicine
• Physical review. B, Condensed matter
We apply the gaussian variational method (GVM) to study the equilibrium statistical mechanics of the two related systems: (i) classical elastic manifolds, such as flux lattices, in presence of columnar disorder correlated along the $\tau$ direction (ii) interacting quantum particles in a static random potential. We find localization by disorder, the localized phase being described by a replica symmetry broken solution confined to the mode $\omega=0$. For classical systems we compute the…
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