NMR relaxation rates for the spin-1/2 Heisenberg chain

Abstract

The spin-lattice relaxation rate $1/T_1$ and the spin echo decay rate $1/T_{2G}$ for the spin-$\frac{1}{2}$ antiferromagnetic Heisenberg chain are calculated using quantum Monte Carlo and maximum entropy analytic continuation. The results are compared with recent analytical calculations by Sachdev. If the nuclear hyperfine form factor $A_q$ is strongly peaked around $q=\pi$ the predicted low-temperature behavior [$1/T_1\sim \ln {}^{1/2}(1/T)$, $1/T_{2G}\sim \ln {}^{1/2}(1/T)/\sqrt{T}$] extends up to temperatures as high as $T/J\approx 0.5$. If $A_q$ has significant weight for $q\approx 0$ there are large contributions from diffusive long-wavelength processes not taken into account in the theory, and very low temperatures are needed in order to observe the asymptotic $T\to 0$ forms.

9 pages, Revtex 3.0, 5 uuencoded ps figures To appear in Phys. Rev. B, Rapid Comm

References in corpus (3)

• NMR relaxation in half-integer antiferromagnetic spin chains
• Numerical renormalization group study of the correlation functions of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain
• Spin Dynamics of La_2CuO_4 and the Two-Dimensional Heisenberg Model

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