Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets

Details Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets

1993-06-11

arxiv.org/abs/hep-th/9306055v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Plain TeX, Lecce, June 1993

Scientific paper

10.1103/PhysRevB.48.15787

A Chern-Simons gauged Nonlinear Schr\"odinger 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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