Abstract
Reexamining BCS theory leads one to formulate a generalized BEC formalism (GBEC) that is essentially a boson–fermion (BF) model with not two but three constituents, two bosonic being two-electron Cooper pairs (2eCPs) plus two-hole CPs (2hCPs), along with unpaired electrons. This ternary BF model contains three new ingredients: (i) CPs as real bosons in contrast to BCS pairs, which are at best so-called “hard-core bosons,” (ii) 2hCPs explicitly accounted for on an equal footing with 2eCPs, and (iii) four BF vertex interactions (analogous to electron-phonon vertices) describing the formation and dissociation of both 2eCPs and 2hCPs. The two pure gauge-invariant GBEC phases (of a total of four including the trivial normal phase) that result exhibit substantially higher T c s than BCS theory. In addition, in contrast to the well-known BCS exponential rise of T c from zero, the GBEC scheme exhibits the linear rise as function of doping typically observed in high-T c superconductors.
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MdeLl thanks UNAM-DGAPA-PAPIIT (Mexico) for its support via Grant IN102011.
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Grether, M., de Llano, M. & Tolmachev, V.V. Generalized Bose–Einstein Condensation Formalism and BCS Theory. J Supercond Nov Magn 26, 1915–1919 (2013). https://doi.org/10.1007/s10948-012-2054-7
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DOI: https://doi.org/10.1007/s10948-012-2054-7