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We determine the effect of an in-plane current flow on the criticalproperties of a 2d itinerant electron system near a ferromagnetic-paramagneticquantum critical point. We study a model in which a nonequilibrium steady stateis established as a result of exchange of particles and energy with anunderlying substrate. the current $\vec{j}$ gives rise not only to an effectivetemperature equal to the voltage drop over a distance of order the mean freepath, but also to symmetry breaking terms of the form $\vec{j}\cdot\vec{nabla}$ in the effective action. The effect of the symmetry breaking onthe fluctuational and critical properties is found to be small although (inagreement with previous results) if rotational degrees of freedom areimportant, the current can make the classically ordered state dynamicallyunstable.

Current driven quantum criticality in itinerant electron ferromagnets