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A variety of analytical techniques suggest that quantum fluctuations lead toa fundamental instability of the Fermi liquid that drives ferromagnetictransitions first order at low temperatures. We present both analytical andnumerical evidence that, driven by the same quantum fluctuations, this firstorder transition is pre-empted by the formation of an inhomogeneous magneticphase. This occurs in a manner that is closely analogous to the formation ofthe inhomogeneous superconducting Fulde-Ferrel-Larkin-Ovchinnikov state. Wederive these results from a field theoretical approach supplemented withnumerical Quantum Monte Carlo simulations. Our analytical approach represents aconsiderable simplification over diagrammatic methods, makes contact with olderanalyses of the unitarity limit, and enables a simple physical picture toemerge.

Inhomogeneous phase formation on the border of itinerant ferromagnetism