Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model

Details Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model

2011-05-31

arxiv.org/abs/1105.6340v3

Phys. Rev. B 84, 174438 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 11 figures; v3: few minor corrections

Scientific paper

10.1103/PhysRevB.84.174438

We study finite-temperature magnetization transport in a one-dimensional anisotropic Heisenberg model, focusing in particular on the gapped phase. Using numerical simulations by two different methods, a propagation of localized wavepackets and a study of nonequilibrium steady states of a master equation in a linear-response regime, we conclude that the transport at finite temperatures is diffusive. With decreasing temperature the diffusion constant increases, possibly exponentially fast. This means that at low temperatures the transition from ballistic to asymptotic diffusive behavior happens at very long times. We also study dynamics of initial domain wall like states, showing that on the attainable time scales they remain localized.

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