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We study the motion of vortex filaments in chiral media, and find asemi-classical analog of the anomaly-induced chiral magnetic effect. Thehelical solitonic excitations on vortices in a parity-breaking medium are foundto carry an additional energy flow along the vortex in the direction dictatedby the sign of chirality imbalance; we call this new transport phenomenon theChiral Propulsion Effect (CPE). The dynamics of the filament is described by amodified version of the localized induction equation in the parity-breakingbackground. We analyze the linear stability of simple vortex configurations,and study the effects of chiral media on the excitation spectrum and the growthrate of the unstable modes. It is also shown that, if the equation of motion ofthe filament is symmetric under the simultaneous reversal of parity and time,the resulting planar solution cannot transport energy.

Dynamics of vortices in chiral media: the chiral propulsion effect