The topological force and torque are investigated in the systems with spin-orbit coupling. Our results show that the topological force and torque appears as a pure relativistic quantum effect in an electromagnetic field. The origin of both topological force and torque is the Zitterbewegung effect. Considering nonlinear behaviors of spin-orbit coupling, we address possible phenomena driven by the topological forces.
@article{arxiv.cond-mat/0703048,
title = {Topological Force and Torque in Spin-Orbit Coupling System},
author = {F. J. Huang and R. Qi and Y. D. Li and W. M. Liu},
journal= {arXiv preprint arXiv:cond-mat/0703048},
year = {2009}
}