Dissipative dynamics of magnetic solitons in metals

Soliton dynamics in spin-textured metals generate electrical currents, which produce backaction through spin torques. We modify the Landau-Lifshitz-Gilbert equation and the corresponding solitonic equations of motion to include such higher-order texture effects. We also find a quasistatic equation for the induced electrochemical potential, which needs to be solved for self-consistently, in the incompressible limit. As an example, we consider the orbital motion of a vortex in a point-contact spin valve, and discuss modifications of orbit radius, frequency, and dissipation power.