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Thermal effects on the magnetic-field dependence of spin-transfer-induced magnetization reversal
5.S. I. Kiselev, J. C. Sankey, I. N. Krivorotov, N. C. Emley, R. J. Schoelkopf, R. A. Buhrman, and D. C. Ralph, Nature (London) 425, 380 (2003).
7.Hydrogen silsesquioxane, Fox-12 dilution available from Dow-Corning.
8.N. C. Emley, F. J. Albert, E. M. Ryan, I. N. Krivorotov, D. C. Ralph, R. A. Buhrman, J. M. Daughton, and A. Jander, Appl. Phys. Lett. 84, 4257 (2004).
9.J. Grollier, V. Cros, H. Jaffrs, A. Hamzic, J. M. George, G. Faini, J. B. Youssef, H. L. Gall, and A. Fert, Phys. Rev. B 67, 174402 (2003).
12.Explicitly, , with . This factor was derived in Ref. 11 for the case of a simple, rather than SAF pinned layer. It is assumed to apply here as well, with perhaps a reduced effective polarization .
17.W. F. Brown, IEEE Trans. Magn. 15, 1196 (1979).
18.The function is detailed in Ref. 10. With , the result simplifies to . From this, Eq. (3) follows by using Eq. (2), with , and as the largest value satisfying .
20.At each time step of , the linearized equations of motion (Ref. 10) include components of a random thermal field chosen as zero-mean Gaussian random numbers with varience (Refs. 10 and 16). After numerical integration of each time step, the primed axes are rotated to realign the axis along .
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