Cooper problem in the vicinity of Anderson transition

Abstract

We study numerically the ground state properties of the Cooper problem in the three-dimensional Anderson model. It is shown that attractive interaction creates localized pairs in the metallic noninteracting phase. This localization is destroyed at sufficiently weak disorder. The phase diagram for the delocalization transition in the presence of disorder and interaction is determined.

revtex, 4 pages, 4 figures

References in corpus (2)

• Statistics of energy levels and eigenfunctions in disordered systems
• Review of recent progress on numerical studies of the Anderson transition

Cited by in corpus (8)

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• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• On the Bardeen-Cooper-Schrieffer interaction in quantum graphs
• Disordered Hubbard Model with Attraction: Coupling Energy of Cooper Pairs in Small Clusters
• Localization of a pair of bound particles in a random potential
• Superinsulator as a phase of bi-particle localized states