Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-06-24
Phys. Rev. B 80, 184402 (2009)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 7 figures, accepted for publication in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.80.184402
We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating field, and energy transport in an Ising chain which is exposed to a tilted field. Our approach is essentially based on a connection between the evolution of the variance of an inhomogeneous non-equilibrium density and the current auto-correlation function at finite times. Although this relationship is not restricted to the case of diffusive transport, it allows to extract a quantitative value for the diffusion constant in that case. By means of numerically exact diagonalization we indeed observe diffusive behavior in the considered spin chains for a range of model parameters and confirm the diffusion coefficients which were obtained for these systems from non-equilibrium bath scenarios.
Gemmer Jochen
Steinigeweg Robin
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