Cooper problem in the vicinity of Anderson transition

Physics – Condensed Matter

Scientific paper

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revtex, 4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.62.8665

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.

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