Low Temperature Spin Diffusion in the One-Dimensional Quantum O\(3\) Nonlinear σ Model
Abstract
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 1997
- DOI:
- 10.1103/PhysRevLett.78.943
- arXiv:
- arXiv:cond-mat/9610115
- Bibcode:
- 1997PhRvL..78..943S
- Keywords:
-
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 4 pages including 3 eps-figures, Revtex