Low temperature spin diffusion in the one-dimensional quantum $O(3)$ nonlinear $\sigma$-model

Abstract

An effective, low temperature, classical model for spin transport in the one-dimensional, gapped, quantum $O(3)$ non-linear $\sigma$-model is developed. Its correlators are obtained by a mapping to a model solved earlier by Jepsen. We obtain universal functions for the ballistic-to-diffusive crossover and the value of the spin diffusion constant, and these are claimed to be exact at low temperatures. Implications for experiments on one-dimensional insulators with a spin gap are noted.

4 pages including 3 eps-figures, Revtex

References in corpus (2)

• Large-Scale Numerical Evidence for Bose Condensation in the S=1 Antiferromagnetic Chain in a Strong Field
• Theory of Nuclear Magnetic Relaxation in Haldane Gap Antiferromagnets

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