Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and topological soliton emission
Date
2023-06-28Author
McRoberts, Adam J.
Bilitewski, Thomas
Haque, Masudul
Moessner, Roderich
Metadata
Show full item recordAbstract
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 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 subdiffusively, their width scaling as t¹/³.
Citation
McRoberts, A.J., Bilitewski, T., Haque, M., Moessner, R. (2023). Domain wall dynamics in classical spin chains: free propagation, subdiffusive spreading, and topological soliton emission. https://doi.org/10.48550/arxiv.2306.15351