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arXiv · 1901.08944

Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport

Oleksandr Gamayun·Yuan Miao·Enej Ilievski
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Abstract

We investigate the dynamics of spin in the axially anisotropic Landau--Lifshitz field theory with a magnetic domain wall initial condition. Employing the analytic scattering technique, we obtain the exact scattering data and reconstruct the time-evolved profile. We identify three qualitatively distinct regimes of spin transport, ranging from ballistic expansion in the easy-plane regime, absence of transport in the easy-axis regime and log-modified diffusion for the isotropic interaction. Our results are in perfect qualitative agreement with those found in the anisotropic quantum Heisenberg spin-$1/2$ chain, indicating a remarkable classical-quantum correspondence for macroscopic spin transport.

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Oleksandr Gamayun, Yuan Miao, Enej Ilievski. 2019-04-03. Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport. https://doi.org/10.1103/physrevb.99.140301

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