Cooper-Pair Delocalization in Disordered Media
Physica B, Condensed matter(1998)
Abstract
We discuss the effect of disorder on the coherent propagation of the bound state of two attracting particles. It is shown that a result analogous to the Anderson theorem for dirty superconductors is also valid for the Cooper problem, namely, that the pair wave function is extended beyond the single-particle localization length if the latter is large. A physical justification is given in terms of Thouless block-scaling picture of localization. These arguments are supplemented by numerical simulation. With increasing disorder we find a transition from a regime in which the interaction delocalizes the pair to a regime in which the interaction enhances localization.
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Key words
strong correlations,superconductivity
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