English

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

Condensed Matter 2009-10-30 v2

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=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 td[A+Beγ(tt0)cosΩ(tt0)].t^{-d}[A+Be^{-\gamma (t-t_0)}\cos \Omega(t-t_0)]. From this we estimate dd as a function of the anisotropy of the chain and study the crossover from ballistic to diffusive behavior.

Keywords

Cite

@article{arxiv.cond-mat/9711146,
  title  = {Spin diffusion and the spin 1/2 XXZ chain at $T=\infty$ from exact diagonalization},
  author = {Klaus Fabricius and Barry M. McCoy},
  journal= {arXiv preprint arXiv:cond-mat/9711146},
  year   = {2009}
}

Comments

11 pages, REVTEX, 7 figures. 1 reference added

R2 v1 2026-07-22T12:00:43.864Z