Phys. Rev. Lett. 78, 943–946 (1997)Low Temperature Spin Diffusion in the One-Dimensional Quantum O(3) Nonlinear σ ModelReceived 15 October 1996; published in the issue dated 3 February 1997 An effective, low temperature, classical model for spin transport in the one-dimensional, gapped, quantum O(3) nonlinear σ 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. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.943
DOI:
10.1103/PhysRevLett.78.943
PACS:
75.40.Gb, 05.30.-d, 75.10.Jm
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