Abstract

A generalized Bose–Einstein condensation (GBEC) statistical theory of superconductors accounts not for BB interactions but rather for boson–fermion (BF) interactions. It extends the 1989 Friedberg–Lee BEC theory by including as bosons two-hole (2h) singlet Cooper pairs (CPs) in addition to the usual two-electron (2e) ones. It contains BCS theory when both kinds of pairs are equal in the BE condensate and in excited states—at least as far as identically reproducing the BCS gap equation for all temperatures T as well as the T = 0 BCS condensation energy for all couplings. As a ternary BF model with BF interactions, it yields T cs one-to-three orders-of-magnitude higher than BCS theory with the same Cooper/BCS model electron–phonon interaction. These T cs appear to be surprisingly insensitive to the BF interaction.

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