Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures

Abstract

We present the theory of two-dimensional, clean quantum antiferromagnets with a small, positive, zero temperature ($T$) stiffness ${\rho }_s$, but with the ratio $k_{B}T/{\rho }_s$ arbitrary. Universal scaling forms for the uniform susceptibility (${\chi }_u$), correlation length($\xi$), and NMR relaxation rate ($1/T_1$) are proposed and computed in a $1/N$ expansion and by Monté-Carlo simulations. For large $k_{B}T/{\rho }_s$, ${\chi }_u(T)/T$ and $T\xi (T)$ asymptote to universal values, while $1/T_1(T)$ is nearly $T$-independent. We find good quantitative agreement with experiments and some numerical studies on $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$.

14 pages, REVTEX, 1 postscript figure appended

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• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Spin Gaps and Spin Dynamics in La_{2-x}Sr_xCuO_4 and YBa_2Cu_3O7_δ
• Theory of Nuclear Spin-Lattice Relaxation in La${}_2$CuO${}_4$ at High Temperatures

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