Planar approximation for spin-transfer devices with tilted polarizer

Planar spin-transfer devices with dominating easy-plane anisotropy can be described by an effective one-dimensional equation for the in-plane angle [1-3]. Such a description provides an intuitive qualitative understanding of the magnetic dynamics. We apply the effective planar equation to describe magnetic switching and precession states in devices with a tilted polarizer [4]. The approach allows one to understand the dynamic regimes and sketch the switching diagram without pefroming the detailed calculations. \\[4pt] [1] Ya. B. Bazaliy, Appl. Phys. Lett. 91, 262510 (2007).\\[0pt] [2] Ya. B. Bazaliy, Phys. Rev. B 76, 140402(R) (2007).\\[0pt] [3] Ya. B. Bazaliy and F. Arammash, Phys. Rev. B 84, 132404 (2011).\\[0pt] [4] Ya. B. Bazaliy, arXiv:1109.1331 (2011).