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Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence of spin transport | | Oleksandr Gamayun
; Yuan Miao
; Enej Ilievski
; | | Date: |
25 Jan 2019 | | 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 of macroscopic spin transport. | | Source: | arXiv, 1901.8944 | | Services: | Forum | Review | PDF | Favorites | |
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