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We study the effects of quenched charge disorder on the phase reconstructionnear itinerant ferromagnetic quantum critical points in three spatialdimensions. Combining a replica disorder average with a fermionic version ofthe quantum order-by-disorder mechanism, we show that weak disorderdestabilizes the ferromagnetic state and enhances the susceptibility towardsincommensurate, spiral magnetic ordering. The Goldstone modes of the spiralphase are governed by a 3d-XY model. The induced disorder in the pitch of thespiral generates a random anisotropy for the Goldstone modes, inducing vortexlines in the phase of the helical order and rendering the magnetic correlationsshort ranged with a strongly anisotropic correlation length.

Helical glasses near ferromagnetic quantum criticality