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On the theory of the spin gap in bilayer cuprates

L. B. Ioffe·A. I. Larkin·A. J. Millis·B. L. Altshuler
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Abstract

We formulate and solve a model of two planes of antiferromagnetically correlated electrons coupled together by a weak antiferromagnetic interaction of strength $λ$. 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 $κ^{-1} \sim T^{-1/2}$, we find that the interaction $λ$ leads to spin pairing at a temperature $T^{*} \sim λ$, much higher than the usual BCS result $exp(-J/λ)$. 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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L. B. Ioffe, A. I. Larkin, A. J. Millis, B. L. Altshuler. 1993-12-14. On the theory of the spin gap in bilayer cuprates. https://arxiv.org/abs/cond-mat/9312056

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