The Kohn-Luttinger superconductivity in the doped graphene monolayer
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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
Conferința "Materials Science and Condensed Matter Physics"
7, Chișinău, Moldova, 16-19 septembrie 2014

The Kohn-Luttinger superconductivity in the doped graphene monolayer


Pag. 77-77

Kagan M.12, Val‘kov V.3, Mitskan V.34, Korovushkin M.3
 
1 National Research University „Higher School of Economics„,
2 P.L. Kapitza Institute for Physical Problems,
3 L.V. Kirensky Institute of Physics, Krasnoyarsk,
4 Reshetnev Siberian State University of Science and Technology
 
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Disponibil în IBN: 26 februarie 2019


Rezumat

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].