Equation of Motion for a Spin Vortex and Geometric Force
Condensed Matter
2009-10-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9512175,
title = {Equation of Motion for a Spin Vortex and Geometric Force},
author = {Hiroshi Kuratsuji and Hiroyuki Yabu},
journal= {arXiv preprint arXiv:cond-mat/9512175},
year = {2009}
}
Comments
13 pages, plain tex