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

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

2011-12-12

arxiv.org/abs/1112.2551v1

J. Stat. Mech. 2011, P12008 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 6 figures

Scientific paper

10.1088/1742-5468/2011/12/P12008

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.

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