Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems
Strongly Correlated Electrons
2009-10-31 v1 Statistical Mechanics
Abstract
Spin transport properties of the quantum one-dimensional non-linear sigma model are studied based upon the Bethe ansatz exact solution for the O(3) sigma model and the 1/N-expansion approach for the O(N) sigma model. It is shown that the spin transport at finite temperatures is ballistic and there is no spin diffusion in this system. A possible mechanism for the spin diffusion observed in the NMR experiment of the Haldane gap system AgVP_2S_6 by Takigawa et al. [Phys. Rev. Lett.{\bf 76}, 2173 (1996)] is also discussed. The inclusion of the spin-phonon interaction accounts for the experimental results qualitatively.
Cite
@article{arxiv.cond-mat/9905415,
title = {Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems},
author = {Satoshi Fujimoto},
journal= {arXiv preprint arXiv:cond-mat/9905415},
year = {2009}
}
Comments
10 pages, 2 figures, to appear in J. Phys. Soc. Jpn