Spin diffusion and the spin 1/2 XXZ chain at $T=\infty$ from exact diagonalization

Details Spin diffusion and the spin 1/2 XXZ chain at $T=\infty$ from exact diagonalization Spin diffusion and the spin 1/2 XXZ chain at $T=\infty$ from exact diagonalization

1997-11-15

arxiv.org/abs/cond-mat/9711146v2

Physical Review B 57, 8340 (1998)

Physics

Condensed Matter

11 pages, REVTEX, 7 figures. 1 reference added

Scientific paper

10.1103/PhysRevB.57.8340

We study the long time behavior of the zz and xx time dependent autocorrelation function of the spin 1/2 XXZ chain at $T=\infty$ 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 $t^{-d}[A+Be^{-\gamma (t-t_0)}\cos \Omega(t-t_0)].$ 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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