Effects of intrabilayer coupling on the magnetic properties of YBa${}_2$Cu${}_3$O${}_6$

Abstract

A two-layer Heisenberg antiferromagnet is studied as a model of the bilayer cuprate YBa${}_2$Cu${}_3$O${}_6$. Quantum Monte Carlo results are presented for the temperature dependence of the spin correlation length, the static structure factor, the magnetic susceptibility, and the ${}^{63}$Cu NMR spin-echo decay rate $1/T_{2G}$. As expected, when the ratio $J_2/J_1$ of the intrabilayer and in-plane coupling strengths is small, increasing $J_2$ pushes the system deeper inside the renormalized classical regime. Even for $J_2/J_1$ as small as $0.1$ the correlations are considerably enhanced at temperatures as high as $T/J_1\approx 0.4-0.5$. This has a significant effect on $1/T_{2G}$, and it is suggested that measurements of this quantity at high temperatures can reveal the strength of the intrabilayer coupling in YBa${}_2$Cu${}_3$O${}_6$.

10 pages (Revtex) + 5 uuencoded ps figures. To appear in Phys. Rev. B, Rapid Comm

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• Cluster Functional Renormalization Group
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• Two-particle bound states and one-particle structure factor in a Heisenberg bilayer system
• Spin-spin Correlation lengths of Bilayer Antiferromagnets
• Variational study of the quantum phase transition in bilayer Heisenberg model with Bosonic RVB wave function
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