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

, , , and . Phys. Rev. Lett., 132 (5): 057202 (Feb 1, 2024)
DOI: 10.1103/PhysRevLett.132.057202

Abstract

The nonequilibrium dynamics of domain wall initial states in a classical anisotropic Heisenberg chain exhibits a striking coexistence of apparently linear and nonlinear behaviors: the propagation and spreading of the domain wall can be captured quantitatively by linear, i.e., noninteracting, spin wave theory absent its usual justifications; while, simultaneously, for a wide range of easy-plane anisotropies, emission can take the place of stable solitons—a process and objects intrinsically associated with interactions and nonlinearities. The easy-axis domain wall only has transient dynamics, the isotropic one broadens diffusively, while the easy-plane one yields a pair of ballistically counterpropagating domain walls which, unusually, broaden subdiffusively, their width scaling as t^1/3.

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