We investigate the dynamics of a magnetic vortex driven by spin-transfer torque due to spin current in the adiabatic case. The vortex core represented by collective coordinate experiences a transverse force proportional to the product of spin current and gyrovector, which can be interpreted as the geometric force determined by topological charges. We show that this force is just a reaction force of Lorentz-type force from the spin current of conduction electrons. Based on our analyses, we propose analytically and numerically a possible experiment to check the vortex displacement by spin current in the case of single magnetic nanodot.
@article{arxiv.cond-mat/0508599,
title = {Current-induced Vortex Motion by Spin-Transfer Torque},
author = {Junya Shibata and Yoshinobu Nakatani and Gen Tatara and Hiroshi Kohno and Yoshichika Otani},
journal= {arXiv preprint arXiv:cond-mat/0508599},
year = {2009}
}