The Magnus Force on Skyrmions in Ferromagnets and the Quantum Hall Effect

Details The Magnus Force on Skyrmions in Ferromagnets and the Quantum Hall Effect The Magnus Force on Skyrmions in Ferromagnets and the Quantum Hall Effect

1995-12-02

arxiv.org/abs/cond-mat/9512010v1

Physics

Condensed Matter

Plain TeX, 13 pages

Scientific paper

10.1103/PhysRevB.53.16573

The topological solitons, or ``skyrmions'', in a planar ferromagnet experience a Magnus force proportional to the product of their velocity and the surrounding magnetization. It has been suggested that the charged quasiparticles near filling factor $\nu=1$ in the $GaAs$ quantum Hall effect are skyrmions. If so we might expect this spin-induced Magnus force to act on the quasiparticles in addition to the Lorentz force they experience because of their charge. We show that this is not the case, and that the Magnus and Lorentz forces are merely different descriptions of the same physical effect.

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