We study numerically the interplay of disorder and attractive interactions for spin-1/2 fermions in the three-dimensional Hubbard model. The results obtained by projector quantum Monte Carlo simulations show that at moderate disorder, increasing the attractive interaction leads to a transition from delocalized superconducting states to the insulating phase of localized pairs. This transition takes place well within the metallic phase of the single-particle Anderson model.

arXiv:cond-mat/0203508Physical review. B, Condensed matterNov 13, 200214 citations

Bulletin of the American Physical Society

Disorder-induced Superconductivity in Two-Dimensional Fermionic Model

Ji-Woo Lee, Shailesh Chandrasekharan A, Harold U. Baranger

Published Mar 24, 2005• 0 citations

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{W}_{c}

required to localize the fermion pairs and destroy superconductivity is finite at any interaction strength

U

and is proportional to the superconducting weight

{D}_{s}

of the clean system. Using large-scale density matrix renormalization group computations, we show that this transition is of the Berezinskii-Kosterlitz-Thouless form. In addition, even at very small interaction strength, the localization is not due to single-fermion localization but to pair localization. For completeness, we briefly study this disorder-induced localization with mean field theory and show that

{W}_{c}

can be accurately determined by using an appropriate scaling function.