# 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 } }

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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