NMR relaxation in the spin-1 Heisenberg chain

Abstract

We consider the isotropic $S=1$ Heisenberg chain with a finite Haldane gap $\Delta$ and use state-of-the-art numerical techniques to investigate its dynamical properties at finite temperature, focusing on the nuclear spin-lattice relaxation rate $1/T_1$ measured in nuclear magnetic resonance (NMR) experiments for instance. In particular, we analyze the contributions from modes with momenta close to $q\approx 0$ and $q\approx \pi$ as a function of temperature. At high-temperature, we observe spin diffusion with a non-trivial exponent. At low-temperature, we argue that a simple activated behavior $1/T_1\propto \exp (-\Delta /T)$ can only be observed at temperatures much smaller than the gap $\Delta$.

published version

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• Evidence of the Berezinskii-Kosterlitz-Thouless Phase in a Frustrated Magnet
• Anomalous transport from hot quasiparticles in interacting spin chains
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• Dynamical spin excitations of topological Haldane gapped phase in the $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy