Glassy states in fermionic systems with strong disorder and interactions

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dc.creatorSchwab, David J.
dc.creatorChakravarty, Sudip
dc.date2008-08-11
dc.date2009-02-03
dc.date.accessioned2026-07-07T12:48:50Z
dc.date.available2026-07-07T12:48:50Z
dc.descriptionWe study the competition between interactions and disorder in two dimensions. Whereas a noninteracting system is always Anderson localized by disorder in two dimensions, a pure system can develop a Mott gap for sufficiently strong interactions. Within a simple model, with short-ranged repulsive interactions, we show that, even in the limit of strong interaction, the Mott gap is completely washed out by disorder for an infinite system for dimensions $D\le 2$. The probability of a nonzero gap falls onto a universal curve, leading to a glassy state for which we provide a scaling function for the frequency dependent susceptibility.
dc.description8 pages, 5 figures, expanded to contain some analytical results for one dimension
dc.identifierhttps://arxiv.org/abs/0808.1586
dc.identifierhttp://arxiv.org/abs/0808.1586
dc.identifierPhys. Rev. B 79, 125102 (2009)
dc.identifierdoi:10.1103/PhysRevB.79.125102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222198
dc.subjectStrongly Correlated Electrons
dc.subjectDisordered Systems and Neural Networks
dc.titleGlassy states in fermionic systems with strong disorder and interactions
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