Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and soliton emission
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866911770558332928 |
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| author | McRoberts, Adam J. Bilitewski, Thomas Haque, Masudul Moessner, Roderich |
| author_facet | McRoberts, Adam J. Bilitewski, Thomas Haque, Masudul Moessner, Roderich |
| contents | The non-equilibrium dynamics of domain wall initial states in a classical anisotropic Heisenberg chain exhibits a striking coexistence of apparently linear and non-linear behaviours: the propagation and spreading of the domain wall can be captured quantitatively by \textit{linear}, i.e. non-interacting, spin wave theory absent its usual justifications; while, simultaneously, for a wide range of easy-plane anisotropies, emission can take place of stable topological solitons -- a process and objects intrinsically associated with interactions and non-linearities. The easy-axis domain wall only has transient dynamics, the isotropic one broadens diffusively, while the easy-plane one yields a pair of ballistically counter-propagating domain walls which, unusually, broaden \textit{subdiffusively}, their width scaling as $t^{1/3}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_15351 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and soliton emission McRoberts, Adam J. Bilitewski, Thomas Haque, Masudul Moessner, Roderich Statistical Mechanics Pattern Formation and Solitons The non-equilibrium dynamics of domain wall initial states in a classical anisotropic Heisenberg chain exhibits a striking coexistence of apparently linear and non-linear behaviours: the propagation and spreading of the domain wall can be captured quantitatively by \textit{linear}, i.e. non-interacting, spin wave theory absent its usual justifications; while, simultaneously, for a wide range of easy-plane anisotropies, emission can take place of stable topological solitons -- a process and objects intrinsically associated with interactions and non-linearities. The easy-axis domain wall only has transient dynamics, the isotropic one broadens diffusively, while the easy-plane one yields a pair of ballistically counter-propagating domain walls which, unusually, broaden \textit{subdiffusively}, their width scaling as $t^{1/3}$. |
| title | Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and soliton emission |
| topic | Statistical Mechanics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2306.15351 |