Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems

Details Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems Spin transport properties of the quantum one-dimensional non-linear sigma model : an application to Haldane gap systems

1999-05-28

arxiv.org/abs/cond-mat/9905415v1

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 2 figures, to appear in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.68.2810

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.

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