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High-T c and Low-T c Superconductivity in Electron Systems with Repulsion

Journal of Superconductivity and Novel Magnetism volume 29, pages 1043–1048 (2016)Cite this article

Abstract

We demonstrate the instability of the normal state of purely repulsive fermionic systems towards the transition to the Kohn-Luttinger superconducting state. We construct the superconducting phase diagrams of these systems in the framework of the Hubbard and Shubin-Vonsovsky models on the square and hexagonal lattices. We show that an account for the long-range Coulomb interactions, as well as the Kohn- Luttinger renormalizations, lead to an increase in the critical superconducting temperatures in various materials, such as high-temperature superconductors, idealized monolayer, and bilayer of doped graphene. Additionally, we discuss the role of the structural disorder and the nonmagnetic impurities in superconducting properties of real graphene systems.

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Acknowledgements

The authors are grateful to V. V. Val’kov, I. S. Burmistrov, M. V. Feigel’man, and A. Ya. Tzalenchuk for valuable remarks. This work is supported by the Russian Foundation for Basic Research (nos. 14-02-00058 and 14-02-31237). One of the authors (M. Yu. K.) gratefully acknowledges support from the Basic Research Program of the National Research University Higher School of Economics. Another one (M. M. K.) thanks the scholarship SP-1361.2015.1 of the President of Russia and the Dynasty foundation.

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Authors and Affiliations

  1. P. L. Kapitza Institute for Physical Problems, 119334, Moscow, Russia

    Maxim Yu. Kagan

  2. National Research University Higher School of Economics, 109028, Moscow, Russia

    Maxim Yu. Kagan

  3. Kirensky Institute of Physics, SB RAS, 660036, Krasnoyarsk, Russia

    Vitaly A. Mitskan & Maxim M. Korovushkin

  4. Siberian State Aerospace University, 660014, Krasnoyarsk, Russia

    Vitaly A. Mitskan

  5. Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91, Stockholm, Sweden

    Maxim M. Korovushkin

Authors
  1. Maxim Yu. Kagan
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  2. Vitaly A. Mitskan
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  3. Maxim M. Korovushkin
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Correspondence to Maxim Yu. Kagan.

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Kagan, M.Y., Mitskan, V.A. & Korovushkin, M.M. High-T c and Low-T c Superconductivity in Electron Systems with Repulsion. J Supercond Nov Magn 29, 1043–1048 (2016). https://doi.org/10.1007/s10948-016-3384-7

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  • DOI: https://doi.org/10.1007/s10948-016-3384-7

Keywords

  • Unconventional superconductivity
  • Kohn-Luttinger mechanism
  • Graphene