Long-time dynamics of the infinite-temperature Heisenberg magnet

Details Long-time dynamics of the infinite-temperature Heisenberg magnet Long-time dynamics of the infinite-temperature Heisenberg magnet

1994-02-08

arxiv.org/abs/cond-mat/9402036v1

Physics

Condensed Matter

11 pages, RevTex 3.0, to be published in PRB Feb. 1994

Scientific paper

10.1103/PhysRevB.49.3592

Infinite-temperature long-time dynamics of Heisenberg model ${\bf\hat{H}}=-\frac{1}{2}\sum_{i,j}J_{ij} \hat{\vec{S}}_{i}\hat{\vec{S}}_{j}$ is investigated. It is shown that the quantum spin pair-correlator is equal to the correlator of classically evaluated vector field averaged over the initial conditions with respect to the gaussian measure. In the continious limit case the scaling estimations allow one to find one-point correlator that turns out to be $C(\vec{r}=0;t)\propto const \times t^{-6/7}$. All results are obtained by straightforward procedure without any assumptions of the phenomenological character.

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