Universal Magnetic Properties of $La_{2-δ} Sr_δ Cu O_4$ at Intermediate Temperatures

Details Universal Magnetic Properties of $La_{2-δ} Sr_δ Cu O_4$ at Intermediate Temperatures Universal Magnetic Properties of $La_{2-δ} Sr_δ Cu O_4$ at Intermediate Temperatures

1993-01-21

arxiv.org/abs/cond-mat/9301027v1

Phys.Rev.Lett.71:169,1993

Physics

Condensed Matter

14 pages, REVTEX, 1 postscript figure appended

Scientific paper

10.1103/PhysRevLett.71.169

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 Mont\'{e}-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 $La_{2-\delta} Sr_{\delta} Cu O_4$.

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