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SM ISO690:2012 KAGAN, M., VAL‘KOV, V., MITSKAN, V., KOROVUSHKIN, M.. The Kohn-Luttinger superconductivity in the doped graphene monolayer. In: Materials Science and Condensed Matter Physics, Ed. 7, 16-19 septembrie 2014, Chișinău. Chișinău, Republica Moldova: Institutul de Fizică Aplicată, 2014, Editia 7, p. 77. |
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Materials Science and Condensed Matter Physics Editia 7, 2014 |
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Conferința "Materials Science and Condensed Matter Physics" 7, Chișinău, Moldova, 16-19 septembrie 2014 | |||||||
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Pag. 77-77 | |||||||
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Idealized graphene monolayer is considered neglecting the van der Waals potential of the substrate and the role of the nonmagnetic impurities. The effect of the long-range Coulomb repulsion in an ensemble of Dirac fermions on the formation of the superconducting pairing in a monolayer is studied in the framework of the Kohn-Luttinger mechanism [1]. The electronic structure of graphene is described in the Wannier representation on the hexagonal lattice. The extended Hubbard model (the Shubin-Vonsowsky model) which takes into account the intra- and intersite Coulomb repulsions of electrons has been used. The Cooper instability is established by solving the Bethe-Salpeter integral equation, in which the role of the effective interaction is played by the renormalized scattering amplitude. The renormalized amplitude contains the Kohn-Luttinger polarization contributions up to and including the second-order terms in the Coulomb repulsion. The superconductive phase diagram for the idealized graphene monolayer is constructed and it is shown that the Kohn-Luttinger renormalizations and the intersite Coulomb repulsion significantly affect the interplay between the superconducting phases with f- and d+id-wave symmetries of the order parameter [2]. |
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