Disordered Quantum Solids

Details Disordered Quantum Solids Disordered Quantum Solids

2000-05-12

arxiv.org/abs/cond-mat/0005220v1

In ``Theoretical Methods for Strongly Correlated Electrons'', CRM Series in Mathematical Physics, Eds. D. Senechal et al., Spr

Physics

Condensed Matter

Strongly Correlated Electrons

Lecture notes based on lectures given at the CRM, Montreal. To be published by Springer-Verlag. Uses svcon2e.sty. 50 pages and

Scientific paper

Due to the peculiar non-fermi liquid of one dimensional systems, disorder has particularly strong effects. We show that such systems belong to the more general class of disordered quantum solids. We discuss the physics of such disordered interacting systems and the methods that allows to treat them. In addition to, by now standard renormalization group methods, We explain how a simple variational approach allows to treat these problems even in case when the RG fails. We discuss various physical realizations of such disordered quantum solids both in one and higher dimensions (Wigner crystal, Bose glass). We investigate in details the interesting example of a disordered Mott insulator and argue that intermediate disorder can lead to a novel phase, the Mott glass, intermediate between a Mott and and Anderson insulator.

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