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Transport in a one-dimensional isotropic Heisenberg model at high temperature

Magnetization transport in a one-dimensional isotropic spin 1/2 Heisenberg model is studied. It is shown that in a nonequilibrium steady state at high temperature and constant small driving the magnetization current depends on the system length L as 1/L^{0.5}, meaning that the diffusion constant diverges as L^{0.5}. Spectral properties of a superoperator governing the relaxation towards a nonequilibrium steady state are also discussed.

preprint2011arXivOpen access
Marko Znidaric
cond-mat.str-elquant-ph
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