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Effect of the Long-Range Coulomb Interaction on the Phase Diagram of the Kohn–Luttinger Superconducting State in Idealized Graphene

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Abstract

The effect of the long-range Coulomb interaction on the formation of the Kohn–Luttinger superconductivity in monolayer doped graphene is studied disregarding the Van der Waals potential of the substrate and both magnetic and non-magnetic impurities. It is shown that the allowance for the Kohn–Luttinger renormalizations up to the second order in perturbation theory in the on-site Hubbard interaction inclusively, as well as in the intersite Coulomb interaction, significantly affects the interplay between the superconducting phases with the f-wave, \(p+ip\)-wave, and \(d + id\)-wave symmetries of the order parameter. It is demonstrated that taking Coulomb repulsion of electrons located at the next-nearest neighboring atoms in such a system into account changes qualitatively the phase diagram and enhances the critical temperature of the transition to the superconducting phase.

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Acknowledgments

The authors are grateful to V.V. Val’kov 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 the 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, Russian Academy of Sciences, Moscow, Russia, 119334

    M. Yu. Kagan

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

    M. Yu. Kagan

  3. L. V. Kirensky Institute of Physics, Siberian Branch of Russian Academy of Sciences, Krasnoyarsk, Russia, 660036

    V. A. Mitskan & M. M. Korovushkin

  4. M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk, Russia, 660014

    V. A. Mitskan

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

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Kagan, M.Y., Mitskan, V.A. & Korovushkin, M.M. Effect of the Long-Range Coulomb Interaction on the Phase Diagram of the Kohn–Luttinger Superconducting State in Idealized Graphene. J Low Temp Phys 185, 508–514 (2016). https://doi.org/10.1007/s10909-015-1427-2

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  • DOI: https://doi.org/10.1007/s10909-015-1427-2

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