Abstract
The problem of Cooper instability is studied by implementing the Kohn-Luttinger mechanism in the framework of the Shubin-Vonsowsky model taking into account the intersite Coulomb interactions within the first and second coordination spheres. It is shown that the Kohn-Luttinger renormalization for the effective interaction in the second-order terms of perturbation theory, as well as the inclusion of intersite hoppings in the second and third coordination spheres, significantly affects the interplay between the superconducting phases with d xy -, p-, s-, and \(d_{x^2 - y^2 }\)-wave symmetries of the order parameter.
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Original Russian Text © M.Yu. Kagan, V.V. Val’kov, V.A. Mitskan, M.M. Korovushkin, 2013, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 97, No. 4, pp. 253–259.
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Kagan, M.Y., Val’kov, V.V., Mitskan, V.A. et al. Effect of long-range interactions on the Kohn-Luttinger mechanism of the cooper instability in the Shubin-Vonsowsky model. Jetp Lett. 97, 226–232 (2013). https://doi.org/10.1134/S0021364013040085
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DOI: https://doi.org/10.1134/S0021364013040085