Fermi-Bose mixtures and BCS-BEC crossover in high-Tc superconductors

TL;DR

This review explores theoretical models and experimental evidence for Fermi-Bose mixtures and the BCS-BEC crossover, linking unconventional superconductors with high-temperature pressurized hydrides, and discussing implications for topological superconductors and quantum technologies.

Contribution

It provides a comprehensive synthesis of models and experimental support connecting unconventional superconductors with high-Tc hydrides and topological superconductors.

Findings

Support for Fermi-Bose mixture models in high-Tc superconductors

Connection between unconventional superconductors and pressurized hydrides

Discussion of topological superconductors and quantum applications

Abstract

In this review article we consider theoretically and give experimental support to the models of the Fermi-Bose mixtures and the BCS-BEC 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 line of nodal Dirac points close to the Fermi surface, 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.