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

Abstract

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/L0.5, meaning that the diffusion constant diverges as L0.5. Spectral properties of a superoperator governing the relaxation towards a nonequilibrium steady state are also discussed.

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