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Disordered Quantum Solids

  • T. Giamarchi
  • E. Orignac
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Part of the CRM Series in Mathematical Physics book series (CRM)

Abstract

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 allow us to treat them. In addition to, by now standard, renormalization group methods, we explain how a simple variational approach allows us to treat these problems even 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 detail 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.

Keywords

Spin Chain Charge Density Wave Localization Length Mott Insulator Luttinger Liquid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer-Verlag New York, Inc. 2004

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  • T. Giamarchi
  • E. Orignac

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