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We study the quantum phase transition of an itinerant antiferromagnet withcubic anisotropy in the presence of quenched disorder, paying particularattention to the locally ordered spatial regions that form in the Griffithsregion. We derive an effective action where these rare regions are described interms of static annealed disorder. A one loop renormalization group analysis ofthe effective action shows that for order parameter dimensions $p<4$ the rareregions destroy the conventional critical behavior. For order parameterdimensions $p>4$ the critical behavior is not influenced by the rare regions,it is described by the conventional dirty cubic fixed point. We also discussthe influence of the rare regions on the fluctuation-driven first-ordertransition in this system.Comment: 6 pages RevTe

Effect of rare locally ordered regions on a disordered itinerant quantum antiferromagnet with cubic anisotropy