Spin diffusion in one-dimensional classical Heisenberg mode
arXiv:1212.2829 · doi:10.1103/PhysRevB.87.075133
Abstract
The problem of spin diffusion is studied numerically in one-dimensional classical Heisenberg model using a deterministic odd even spin precession dynamics. We demonstrate that spin diffusion in this model, like energy diffusion, is normal and one obtains a long time diffusive tail in the decay of autocorrelation function (ACF). Some variations of the model with different coupling schemes and with anisotropy are also studied and we find normal diffusion in all of them. A systematic finite size analysis of the Heisenberg model also suggests diffusive spreading of fluctuation, contrary to previous claims of anomalous diffusion.
4 pages, 7 eps figures
References in corpus (1)
Cited by in corpus (19)
- Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
- Universality classes of spin transport in one-dimensional isotropic magnets: the onset of logarithmic anomalies
- Hydrodynamics in lattice models with continuous non-Abelian symmetries
- Classical many-body chaos with and without quasiparticles
- Quantum versus Classical Dynamics in Spin Models: Chains, Ladders, and Square Lattices
- Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain
- Robustness of Kardar-Parisi-Zhang scaling in a classical integrable spin chain with broken integrability
- NMR relaxation in the spin-1 Heisenberg chain
- Long-lived Solitons and Their Signatures in the Classical Heisenberg Chain
- Parametrically long lifetime of superdiffusion in non-integrable spin chains
- Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer
- Thermal Rectification and Negative Differential Thermal Resistance in a driven two segment classical Heisenberg chain
- Spatiotemporal dynamics of classical and quantum density profiles in low-dimensional spin systems
- Subdiffusive spin transport in disordered classical Heisenberg chains
- Thermal Conductivity of Square Ice
- Thermally driven classical Heisenberg model in one dimension with a local time-varying field
- Many-body chaos and anomalous diffusion across thermal phase transitions in two dimensions
- Lindblad quantum dynamics from correlation functions of classical spin chains
- Semiclassical analysis of spin dynamics in the non-Hermitian Hubbard model