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A sufficiently large unpolarized current can cause a spin-wave instability inthin nanomagnets with asymmetric contacts. The dynamics beyond the instabilityis understood in the perturbative regime of small spin-wave amplitudes, as wellas by numerically solving a discretized model. In the absence of an appliedmagnetic field, our numerical simulations reveal a hierarchy of instabilities,leading to chaotic magnetization dynamics for the largest current densities weconsider.Comment: 14 pages, 10 figures; revtex

Current-induced transverse spin-wave instability in thin ferromagnets: Beyond linear stability analysis