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Suppression of Superconductivity in Disordered Films: Interplay of Two-Dimensional Diffusion and Three-Dimensional Ballistics

  • Condensed Matter
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Abstract

Suppression of the critical temperature in homogeneously disordered superconducting films is a consequence of the disorder-induced enhancement of Coulomb repulsion. We demonstrate that for the majority of thin films studied now this effect cannot be completely explained under the assumption of two-dimensional diffusive nature of electron motion. The main contribution to the suppression of Tc arises from the correction to the electron-electron interaction constant coming from small scales of the order of the Fermi wavelength that leads to the critical temperature shift δTc/Tc0 ∼ − 1/kFl, where kF is the Fermi momentum and l is the mean free path. Thus almost for all superconducting films that follow the fermionic scenario of Tc suppression with decreasing the film thickness, this effect is caused by the proximity to the three-dimensional Anderson localization threshold and is controlled by the parameter kFl rather than the sheet resistance of the film.

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Acknowledgments

We are grateful to I.S. Burmistrov, M.V. Feigel’man, A.M. Finkel’stein, P. Samuely, P. Szabó, K.S. Tikhonov, and P.M. Ostrovsky for useful discussions.

Funding

This work was supported by the Russian Science Foundation, project no. 20-12-00361.

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Authors and Affiliations

  1. Skolkovo Institute of Science and Technology, Moscow, 121205, Russia

    D. S. Antonenko & M. A. Skvortsov

  2. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432, Russia

    D. S. Antonenko & M. A. Skvortsov

  3. Moscow Institute of Physics and Technology, National Research University, Dolgoprudnyi, Moscow region, 141700, Russia

    D. S. Antonenko

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  1. D. S. Antonenko
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Correspondence to D. S. Antonenko or M. A. Skvortsov.

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Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2020, Vol. 112, No. 7, pp. 466–474.

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Suppression of Superconductivity in Disordered Films: Interplay of Two-Dimensional Diffusion and Three-Dimensional Ballistics

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Antonenko, D.S., Skvortsov, M.A. Suppression of Superconductivity in Disordered Films: Interplay of Two-Dimensional Diffusion and Three-Dimensional Ballistics. Jetp Lett. 112, 428–436 (2020). https://doi.org/10.1134/S0021364020190017

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