Spin transport in a one-dimensional anisotropic Heisenberg model

Details Spin transport in a one-dimensional anisotropic Heisenberg model Spin transport in a one-dimensional anisotropic Heisenberg model

2011-03-21

arxiv.org/abs/1103.4094v2

Phys. Rev. Lett. 106, 220601 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures; v2.: few comments added and typos corrected; published version

Scientific paper

10.1103/PhysRevLett.106.220601

We analytically and numerically study spin transport in a one-dimensional Heisenberg model in linear-response regime at infinite temperature. It is shown that as the anisotropy parameter Delta is varied spin transport changes from ballistic for Delta<1 to anomalous at the isotropic point Delta=1, to diffusive for finite Delta>1, ending up as a perfect isolator in the Ising limit of infinite Delta. Using perturbation theory for large Delta a quantitative prediction is made for the dependence of diffusion constant on Delta.

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