Equation of Motion for a Spin Vortex and Geometric Force

Details Equation of Motion for a Spin Vortex and Geometric Force Equation of Motion for a Spin Vortex and Geometric Force

1995-12-29

arxiv.org/abs/cond-mat/9512175v1

Physics

Condensed Matter

13 pages, plain tex

Scientific paper

10.1088/0305-4470/29/20/008

The Hamiltonian equation of motion is studied for a vortex occuring in 2-dimensional Heisenberg ferromagnet of anisotropic type by starting with the effective action for the spin field formulated by the Bloch (or spin) coherent state. The resultant equation shows the existence of a geometric force that is analogous to the so-called Magnus force in superfluid. This specific force plays a significant role for a quantum dynamics for a single vortex, e.g, the determination of the bound state of the vortex trapped by a pinning force arising from the interaction of the vortex with an impurity.

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