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Solvable Models of Magnetic Skyrmions
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Solvable Models of Magnetic Skyrmions
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We give a succinct summary of the recently discovered solvable models of magnetic skyrmions in two dimensions, and of their general solutions. The models contain the standard Heisenberg term, the most general translation invariant Dzyaloshinskii-Moriya (DM) interaction term and, for each DM term, a particular combination of anisotropy and Zeeman potentials. We argue that simple mathematical features of the explicit solutions help understand general qualitative properties of magnetic skyrmion configurations in more generic models.
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Cited by 1 Pith paper
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Phase diagram of magnetic $S^3$ Skyrmions on three-dimensional lattices and the toroidal antiSkyrmion
Authors discretize an S^3 sigma model with generalized DMI on cubic lattices, run Monte Carlo simulations, and report phases including a toroidal antiSkyrmion of unit charge.
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