On the theory of the spin gap in bilayer cuprates

Details On the theory of the spin gap in bilayer cuprates On the theory of the spin gap in bilayer cuprates

1993-12-14

arxiv.org/abs/cond-mat/9312056v1

Physics

Condensed Matter

Scientific paper

We formulate and solve a model of two planes of antiferromagnetically correlated electrons coupled together by a weak antiferromagnetic interaction of strength $\lambda$. We show that in-plane antiferromagnetic correlations dramatically enhance the pairing effect of the interplane interaction. For the case where the in-plane correlation length $\kappa^{-1} \sim T^{-1/2}$, we find that the interaction $\lambda$ leads to spin pairing at a temperature $T^{*} \sim \lambda$, much higher than the usual BCS result $exp(-J/\lambda)$. We suggest that this is a possible explanation of the spin gap effects observed below $T^{*} \sim 150K$ in $YBa_2Cu_3O_{6.6}$.

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