Vortex lattices in two-dimensional ferromagnetics

Abstract: We have integrated the two-dimensional Heisenberg model using classical differential geometry methods. Following a hodograph transformation, the model equations have been stated in terms of a metric tensor and its derivatives in a curvilinear coordinate system. A general solution of the Heisenberg model in a non-orthogonal coordinate system is found, when the metric tensor depends on two variables. New types of different vortex lattices in a two-dimensional ferromagnet are predicted and analyzed.

This is joint work with D. Dolgih.

mathematical physicsanalysis of PDEsclassical analysis and ODEsdynamical systemsnumerical analysisexactly solvable and integrable systemsfluid dynamics

Audience: researchers in the topic

Mathematical models and integration methods