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arXiv · 2306.15351

Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and soliton emission

Adam J. McRoberts·Thomas Bilitewski·Masudul Haque·Roderich Moessner
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Abstract

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 $t^{1/3}$.

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Adam J. McRoberts, Thomas Bilitewski, Masudul Haque, Roderich Moessner. 2024-02-03. Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and soliton emission. https://doi.org/10.1103/physrevlett.132.057202

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