Spin transport in the XXZ chain at finite temperature and momentum

Details Spin transport in the XXZ chain at finite temperature and momentum Spin transport in the XXZ chain at finite temperature and momentum

2011-07-15

arxiv.org/abs/1107.3103v2

Phys. Rev. Lett. 107, 250602 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 5 figures (figure 2 added)

Scientific paper

10.1103/PhysRevLett.107.250602

We investigate the role of momentum for the transport of magnetization in the spin-1/2 Heisenberg chain above the isotropic point at finite temperature and momentum. Using numerical and analytical approaches, we analyze the autocorrelations of density and current and observe a finite region of the Brillouin zone with diffusive dynamics below a cut-off momentum, and a diffusion constant independent of momentum and time, which scales inversely with anisotropy. Lowering the temperature over a wide range, starting from infinity, the diffusion constant is found to increase strongly while the momentum space cut-off for diffusion decreases. Above the cut-off momentum diffusion breaks down completely.

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