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Anderson Localization and the Theory of Dirty Superconductors

A. KapitulnikInstitute for Polymers and Organic Solids and Institute for Theoretical Physics, University of California, Santa Barbara, California 93106Gabriel KotliarInstitute for Polymers and Organic Solids and Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
1985en
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We study the effect of Anderson localization in dirty superconductors. The scale dependence of the diffusion in the vicinity of the mobility edge results in a strong renormalization of the zero-temperature coherence length. This implies the breakdown of the Ginzburg criterion close to the metal-insulator transition and thus the importance of fluctuations in this regime. The upper critical field is calculated and possible experiments are also discussed.

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