#### Abstract

NMR measurements were performed on single-crystalline samples of the one-dimensional Heisenberg antiferromagnet (1D HAF) ${\mathrm{LiCuVO}}_{4}$. We investigated ${}^{7}\mathrm{Li}$ and ${}^{51}\mathrm{V}$ NMR spectra, deduced the respective lineshifts $K\left(T\right)$, spin-lattice relaxation rates $1\u2215{T}_{1}$, and spin-spin relaxation rates $1\u2215{T}_{2}$ and $1\u2215{T}_{2G}$. The results are compared to theoretical predictions for the relaxation rates $1\u2215{T}_{1}\left(T\right)$ and $1\u2215{T}_{2G}\left(T\right)$ deduced from the dynamic susceptibility $\chi (\mathbf{q},\omega )$ of a 1D HAF spin chain as proposed by Sachdev [Phys. Rev. B **50**, 13006 (1994)]. We document a correspondence between the anisotropic relaxation rates derived from electron paramagnetic resonance linewidth $\mathrm{\Delta}H\left(T\right)$ and nuclear magnetic resonance $1\u2215{T}_{1}\left(T\right)$, respectively, the former being well described in the framework of symmetric anisotropic exchange interactions for ${\mathrm{LiCuVO}}_{4}$ by Krug von Nidda *et al.* [Phys. Rev. B **65**, 134445 (2002)].

- Received 9 November 2005

DOI:https://doi.org/10.1103/PhysRevB.73.104418

©2006 American Physical Society