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We obtain a fundamental instability of the magnetization-switching fronts insuper-paramagnetic and ferromagnetic materials such as crystals of nanomagnets,ferromagnetic nanowires, and systems of quantum dots with large spin. Wedevelop the instability theory for both linear and nonlinear stages. By usingnumerical simulations we investigate the instability properties focusing onspin avalanches in crystals of nanomagnets. The instability distortsspontaneously the fronts and leads to a complex multidimensional frontdynamics. We show that the instability has a universal physical nature, with adeep relationship to a wide variety of physical systems, such as theDarrieus-Landau instability of deflagration fronts in combustion, inertialconfinement fusion and thermonuclear su- pernovae, and the instability ofdoping fronts in organic semiconductors.

Multidimensional instability and dynamics of spin-avalanches in crystals of nanomagnets