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

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...

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Bibliographic Details
Published in:Journal of superconductivity and novel magnetism 2016-04, Vol.29 (4), p.1043-1048
Main Authors: Kagan, Maxim Yu, Mitskan, Vitaly A., Korovushkin, Maxim M.
Format: Article
Language:English
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Summary: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.
ISSN:1557-1939
1557-1947
DOI:10.1007/s10948-016-3384-7