Spiral vortices in a 2D ferromagnet
A.B. Borisov, I.G. Bostrem, A.S. Ovchinnikov

TL;DR
This paper investigates spiral vortex solutions in a 2D ferromagnet, combining continuum theory and numerical simulations to understand their properties, interactions, and formation mechanisms.
Contribution
It introduces a new class of exact spiral vortex solutions in a 2D Heisenberg ferromagnet and analyzes their features and formation.
Findings
Identification of exact spiral vortex solutions
Analysis of vortex interactions and conservation laws
Insights into spin configuration formation on a lattice
Abstract
We present a study of a new class of exact solutions having a form of spiral vortices for an isotropic two-dimensional Heisenberg ferromagnet using a continuum theory and direct numerical simulations of the spin system on a square lattice. We find their features issued from the conservation laws and describe their interaction. Reasons behind the formation of the proper spin configurations on a square lattice are investigated.
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