Superconductor-insulator transition in Coulomb disorder

Details Superconductor-insulator transition in Coulomb disorder Superconductor-insulator transition in Coulomb disorder

2007-08-19

arxiv.org/abs/0708.2516v3

Physics

Condensed Matter

Superconductivity

4.5 pages, introduction rewritten, a dozen of references added, 2D case added

Scientific paper

10.1103/PhysRevB.76.224511

Superconductor-insulator transition driven by the decreasing concentration of electrons $n$ is studied in the case of the disorder potential created by randomly positioned charged impurities. Electrons and Cooper pairs (formed by an non-Coulomb attraction) nonlinearly screen the random potential of impurities. Both electrons and Cooper pairs can be delocalized or localized in the resulting self-consistent potential. The border separating the superconductor and insulator phases in the plane of the concentration of electrons and the length of the Cooper pair is found. For a strong disorder the central segment of this border follows the BEC-BCS crossover line defined for a clean sample.

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