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Open AccessReview

Fermi-Bose Mixtures and BCS-BEC Crossover in High-Tc Superconductors

by Maxim Yu. Kagan 1,2,* and Antonio Bianconi 3,4,5
1
National Research University “Higher School of Economics”, ul. Myasnitskaya 20, 101000 Moscow, Russia
2
P.L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, 119334 Moscow, Russia
3
Rome International Center for Materials Science, Superstripes, via dei Sabelli 119A, 00185 Roma, Italy
4
Institute of Crystallography, CNR, Via Salaria Km 29.300, Monterotondo, I-00015 Roma, Italy
5
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409 Moscow, Russia
*
Author to whom correspondence should be addressed.
Condens. Matter 2019, 4(2), 51; https://doi.org/10.3390/condmat4020051
Received: 13 May 2019 / Revised: 31 May 2019 / Accepted: 31 May 2019 / Published: 3 June 2019
(This article belongs to the Special Issue From cuprates to Room Temperature Superconductors)
In this review article we consider theoretically and give experimental support to the models of the Fermi-Bose mixtures and the BCS-BEC (Bardeen Cooper Schrieffer–Bose Einstein) crossover compared with the strong-coupling approach, which can serve as the cornerstones on the way from high-temperature to room-temperature superconductivity in pressurized metallic hydrides. We discuss some key theoretical ideas and mechanisms proposed for unconventional superconductors (cuprates, pnictides, chalcogenides, bismuthates, diborides, heavy-fermions, organics, bilayer graphene, twisted graphene, oxide hetero-structures), superfluids and balanced or imbalanced ultracold Fermi gases in magnetic traps. We build a bridge between unconventional superconductors and recently discovered pressurized hydrides superconductors H3S and LaH10 with the critical temperature close to room temperature. We discuss systems with a line of nodal Dirac points close to the Fermi surface and superconducting shape resonances, and hyperbolic superconducting networks which are very important for the development of novel topological superconductors, for the energetics, for the applications in nano-electronics and quantum computations. View Full-Text
Keywords: high-temperature superconductivity; s-wave and d-wave pairing; Kohn–Luttinger mechanism of superconductivity; Migdal–Eliashberg strong-coupling approach; BCS-BEC crossover between extended and local pairs; Fermi-Bose mixture high-temperature superconductivity; s-wave and d-wave pairing; Kohn–Luttinger mechanism of superconductivity; Migdal–Eliashberg strong-coupling approach; BCS-BEC crossover between extended and local pairs; Fermi-Bose mixture
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Kagan, M.Y.; Bianconi, A. Fermi-Bose Mixtures and BCS-BEC Crossover in High-Tc Superconductors. Condens. Matter 2019, 4, 51.

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