Here is from a book I read
"...the characteristics of high- superconductors
deviate from the predictions of the BCS theory as those of organic supercon-
ductors and heavy fermions. For example, the BCS isotope effect is almost ab-
sent in cuprates. As a consequence, this has prompted the exploration of non-
phonon electronic coupling mechanisms. Ph. Anderson was probably the first
to suggest a theoretical model which did not incorporate phonon-electron inter-
actions. Between 1987 and 2002, more than 100 theoretical models of high-
superconductivity were proposed. Most of these models consider phonons ir-
relevant. Looking ahead, it is worth noting that, as established by now, none of
them can be fully applied to high- superconductors; however, the combina-
tion of two proposed models, namely, the bisoliton theory and the theory based
on spin-fluctuations, can in the first approximation describe the phenomenon
of high- superconductivity"