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26 April 2024
 
  » arxiv » 1604.7583

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Unconventional superconductivity in low density electron systems and conventional superconductivity in hydrogen metallic alloys under pressure
Maxim Yu. Kagan ;
Date 26 Apr 2016
AbstractIn a short review-article we first discuss the results, which are mainly devoted to the generalizations of the famous Kohn-Luttinger mechanism of superconductivity in purely repulsive fermion systems at low electron densities. In the context of repulsive-U Hubbard model and Shubin-Vonsovsky model we consider detaily the superconducting phase diagrams and the symmetries of the order parameter in novel strongly correlated electron systems including iron based superconductors and idealized monolayer and bilayer graphene. We stress that purely repulsive fermion systems are mainly the subject of unconventional low-temperature superconductivity. To get the high temperature superconductivity in cuprates (with T-c of the order of 100 K ) we should consider t - J model with the Van der Waals interaction potential and the competition between short-range repulsion and long-range attraction. Finally we stress that to describe superconductivity in metallic hydrogen alloys under pressure (with T-c of the order of 200K) it is reasonable to reexamine more conventional mechanisms connected with electron-phonon interaction. This can be done in the framework of the attractive-U Hubbard model with static onsite or intersite attractive potential or more realistic theories (which include retardation effects) such as Migdal-Eliashberg strong coupling theory or even Fermi-Bose mixture theory of Alexandrov, Ranninger.
Source arXiv, 1604.7583
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