Abstract
We study the localization properties of a bound state of two electrons in the presence of a Fermi sea of normal electrons which are Anderson localized due to disorder. We describe the bound state as in the s-wave Cooper problem. The localization length of the pair depends on its dispersion relation for small momenta relative to the Fermi surface. Expressions for the pair localization length are derived, for both one and two spatial dimensions, in the limit of large single-particle localization length. In one dimensional we find that there is no considerable enhancement of the pair localization length (L c2 ) over that of a single electron (L c ). In two dimensional there is a large enhancement in the limit of large L c . In three dimensional the pair dispersion relation is obtained in both diffusive and (single-particle) localized regimes and the implications on localization are discussed. In this case the mobility edge of the pair is located below the single-electron mobility edge.
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