2011/05/31 by Simon Jesenko, Marko Znidaric, Marko Žnidarič
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevb.84.174438
published as Phys. Rev. B 84, 174438 (2011) · 14 pages, 11 figures; v3: few minor corrections
openalex publication_date 2011/11/28 · arxiv created 2011/11/29 · arxiv updated 2011/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.