Spin diffusion and the spin 1/2 XXZ chain at T=∞ from exact diagonalization
Abstract
We study the long time behavior of the zz and xx time dependent autocorrelation function of the spin 1/2 XXZ chain at T=∞ by exact diagonalizations on a chain of 16 sites. We find that the numerical results for the zz correlation are very well fit by the formula t-d[A+Be-γ (t-t0) (t-t0)]. From this we estimate d as a function of the anisotropy of the chain and study the crossover from ballistic to diffusive behavior.
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