Instability of the quantum-critical point of itinerant ferromagnets.

We study the stability of the quantum-critical point for itinerant ferromagnets commonly described by the Hertz-Millis-Moriya (HMM) theory. We argue that in D</=3 long-range spatial correlations associated with the Landau damping of the order parameter field generate a universal negative, nonanalytic |q|((D+1)/2) contribution to the static magnetic susceptibility chi(s)(q,0), which makes HMM theory unstable. We argue that the actual transition is either towards incommensurate ordering, or first order. We also show that singular corrections are specific to the spin problem, while charge susceptibility remains analytic at criticality.