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arXiv · hep-th/9306055

Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets

L. Martina·O. K. Pashaev·G. Soliani
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Abstract

A Chern-Simons gauged Nonlinear Schrödinger Equation is derived from the continuous Heisenberg model in 2+1 dimensions. The corresponding planar magnets can be analyzed whithin the anyon theory. Thus, we show that static magnetic vortices correspond to the self-dual Chern - Simons solitons and are described by the Liouville equation. The related magnetic topological charge is associated with the electric charge of anyons. Furthermore, vortex - antivortex configurations are described by the sinh-Gordon equation and its conformally invariant extension. Physical consequences of these results are discussed.

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L. Martina, O. K. Pashaev, G. Soliani. 1993-06-11. Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets. https://doi.org/10.1103/physrevb.48.15787

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