Quantum Critical Scaling in a Moderately Doped Antiferromagnet

Abstract

Using high temperature expansions for the equal time correlator $S(q)$ and static susceptibility $\chi (q)$ for the t-J model, we present evidence for quantum critical (QC), $z=1$, behavior at intermediate temperatures in a broad range of $t/J$ ratio, doping, and temperatures. We find that the dynamical susceptibility is very close to the universal scaling function computable for the asymptotic QC regime, and that the dominant energy scale is temperature. Our results are in excellent agreement with measurements of the spin-echo decay rate, $1/T_{2G}$, in La${}_2$CuO${}_4$, and provide qualitative understanding of both $1/T_1$ and $1/T_{2G}$ nuclear relaxation rates in doped cuprates.

11 pages, REVTeX v3.0, PostScript file for 3 figures is attached, UIUC-P-93-07-068. In this revised version, we calculate the scaling functions and thus present new and more direct evidence in favor of our original conclusions

References in corpus (4)

• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Toward a Unified Magnetic Phase Diagram of the Cuprate Superconductors
• Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures
• Theory of Nuclear Spin-Lattice Relaxation in La${}_2$CuO${}_4$ at High Temperatures

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