Abstract
Evidence is presented for the importance of a large density-of-states (dos) peak (due to the van Hove singularity) in the copper oxide ceramic superconductors. A slave boson model is introduced, which can describe the insulating transition in the half-filled band, yet properly describe the Fermi liquid state away from half filling. The dos peak induces an inhomogeneous phase, by a mechanism related to Hume-Rothery phase formation in alloys.
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