Spin Dynamics of La_2CuO_4 and the Two-Dimensional Heisenberg Model

Abstract

The spin-lattice relaxation rate $1/T_1$ and the spin echo decay rate $1/T_{2G}$ for the 2D Heisenberg model are calculated using quantum Monte Carlo and maximum entropy analytic continuation. The results are compared to recent experiments on La${}_2$CuO${}_4$, as well as predictions based on the non-linear $\sigma$-model.

Compressed & uuencoded Postscript file (4 pages with figures)

References in corpus (10)

• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Toward a Unified Magnetic Phase Diagram of the Cuprate Superconductors
• Spin Gaps and Spin Dynamics in La_{2-x}Sr_xCuO_4 and YBa_2Cu_3O7_δ
• Finite size and temperature effects in the AF Heisenberg model
• Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures
• Quantum Critical Scaling in a Moderately Doped Antiferromagnet
• Theory of Nuclear Spin-Lattice Relaxation in La${}_2$CuO${}_4$ at High Temperatures
• Universal Behavior of the Spin-Echo Decay Rate in La_2CuO_4
• Scaling Regimes, Crossovers, and Lattice Corrections in 2D Heisenberg Antiferromagnets

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• Numerical Calculations of the B1g Raman Spectrum of the Two-Dimensional Heisenberg Model
• Quantum magnetism in the stripe phase: bond- versus site order
• Monte Carlo study of a two-dimensional quantum ferromagnet
• Effects of intrabilayer coupling on the magnetic properties of YBa${}_2$Cu${}_3$O${}_6$
• Pseudogap Induced Antiferromagnetic Spin Correlation in High-Temperature Superconductors
• Edge effects in the two-dimensional spin-1/2 Heisenberg antiferromagnet
• Pseudo-gap behavior in dynamical properties of high-Tc cuprates
• Universal quantum criticality at finite temperature for two-dimensional disordered and clean dimerized spin-$\frac{1}{2}$ antiferromagnets
• Effects of edge disorder in nano-scale antiferromagnetic clusters
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