Enhancement of superconductivity by Anderson localization

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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16 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.108.017002

Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and assumed to be short-range. Two-dimensional systems in the weak localization and antilocalization regime, as well as systems near mobility edge are considered. It is shown that in all these regimes the Anderson localization leads to strong enhancement of T_c related to the multifractal character of wave functions.

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