Journal
PHYSICAL REVIEW B
Volume 84, Issue 17, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.84.174438
Keywords
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Funding
- Slovenian Research Agency [P1-0044, J1-2208]
- CONACyT, Mexico [57334]
- UNAM [IN114310]
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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 wave packets 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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