High temperature superconductivity induced by incipient magnetism

M. Weger*, Y. Pereg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We consider the BCS gap equation, with an attractive interaction λ with an upper cutoff ω0 and lower cutoff ω1, and a repulsive interaction μ with cutoffΓ. We consider parameters such that a superconducting solution does not exist. We add a repulsive interaction ν eith cutoff ω11 < ω0), and show that this repulsive interaction (that we attribute to incipient magnetism) induces a superconducting state possessing a high transition temperature. In this state, the gap function Δ(ε) oscillates as function of ε, with a period of order ω0. We also find solutions antisymmetric in energy [ Δ(ε) = - Δ(-ε) ], which turn out to be almost degenerate with the normal, symmetric ones. We discuss the physical implications of this model. Our model thus combines a low frequency repulsion due to antiferromagnetic interactions, with excitonic attraction at intermediate frequencies, and ordinary Coulomb repulsion above that. All frequency ranges, and coupling strengths, are comparable with the bandwidth.

Original languageEnglish
Pages (from-to)39-48
Number of pages10
JournalSolid State Communications
Volume76
Issue number1
DOIs
StatePublished - Oct 1990

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