BCS and BEC Finally Unified: A Brief Review
J. Batle, M. Casas, M. Fortes, M. de Llano, O. Rojo, F.J. Sevilla,, M.A. Solis, V.V.Tolmachev

TL;DR
This paper reviews the unification of BCS and BEC theories of superconductivity through a comprehensive boson-fermion model that includes both two-electron and two-hole Cooper pairs, aiming to explain high critical temperatures and hole superconductivity.
Contribution
It introduces a complete boson-fermion model that unifies BCS and BEC theories, allowing for arbitrary mixtures of two-electron and two-hole Cooper pairs, and applies this model to high-temperature and hole superconductors.
Findings
The model can predict high critical temperatures in exotic superconductors.
It suggests why hole superconductors tend to have higher T_c.
The model generalizes previous theories by including both types of Cooper pairs.
Abstract
We review efforts to unify both the Bardeen, Cooper and Schrieffer (BCS) and Bose-Einstein condensation (BEC) pictures of superconductivity. We have finally achieved this in terms of a "\textit{complete} boson-fermion (BF) model" (CBFM) that reduces in special cases to all the main continuum (as opposed to "spin") statistical theories of superconductivity. Our BF model is "complete" in the sense that not only two-electron (2e) but also two-hole (2h) Cooper pairs (CPs) are allowed in arbitrary proportions. In contrast, BCS-Bogoliubov theory--which can also be considered as the theory of a mixture of kinematically independent electrons, 2e- and 2h-CPs--allows only equal, 50%-50%, mixtures of the two kinds of CPs. This is obvious from the perfect symmetry about , the electron chemical potential, of the well-known Bogoliubov and coefficients, where…
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Superconductivity in MgB2 and Alloys · Advanced Physical and Chemical Molecular Interactions
