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Abstract: Superconductor-insulator transition driven by the decreasing concentration ofelectrons $n$ is studied in the case of the disorder potential created byrandomly positioned charged impurities. Electrons and Cooper pairs formed byan non-Coulomb attraction nonlinearly screen the random potential ofimpurities. Both electrons and Cooper pairs can be delocalized or localized inthe resulting self-consistent potential. The border separating thesuperconductor and insulator phases in the plane of the concentration ofelectrons and the length of the Cooper pair is found. For a strong disorder thecentral segment of this border follows the BEC-BCS crossover line defined for aclean sample.



Author: B. I. Shklovskii

Source: https://arxiv.org/







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