Averaged equation for energy diffusion on a graph reveals bifurcation diagram and thermally assisted reversal times in spin-torque driven nanomagnets

Journal of Applied Physics

Volumn 113, Issue 18, 2013, Pages

  Newhall, Katherine A ^a   Vanden Eijnden, Eric ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION DIAGRAM; EFFECTIVE ENERGY; ENERGY DIFFUSION; EXPERIMENTAL OBSERVATION; MAGNETIZATION SWITCHING; REACTION RATE THEORY; REVERSAL TIME; SPIN-POLARIZED CURRENTS;

BIFURCATION (MATHEMATICS); MAGNETIZATION REVERSAL; MAGNETS;

NANOMAGNETICS;

EID: 84878046500     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4804070     Document Type: Article

References (25)

1. S. I. Kiselev, J. C. Sankey, I. N. Krivorotov, N. C. Emley, R. J. Schoelkop, R. A. Buhrman, and D. C. Ralph, Nature 425, 380 (2003). 10.1038/nature01967
2. C. Augustine, N. N. Mojumder, X. Fong, S. H. Choday, S. P. Park, and K. Roy, IEEE Sens. J. 12, 756 (2012). 10.1109/JSEN.2011.2124453
3. H. A. Kramers, Physica 7, 284 (1940). 10.1016/S0031-8914(40)90098-2
4. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990). 10.1103/RevModPhys.62.251
5. W. F. Brown, Phys. Rev. 130, 1677 (1963). 10.1103/PhysRev.130.1677
6. M. I. Freidlin and A. D. Wentzell, Random Perturbations of Hamiltonian Systems, Memoirs of the American Mathematical Society, Vol. 109 (American Mathematical Society, 1994).
7. M. I. Freidlin and W. Hu, J. Stat. Phys. 144, 978 (2011). 10.1007/s10955-011-0289-5
8. G. Pavliotis and A. Stuart, Multiscale Methods: Averaging and Homogenization (Springer, 2008).
9. G. Bertotti, I. Mayergoyz, and C. Serpico, Nonlinear Magnetization Dynamics in Nanosystems (Elsevier, 2009).
10. I. N. Krivorotov, N. C. Emley, A. G. F. Garcia, J. C. Sankey, S. I. Kiselev, D. C. Ralph, and R. A. Buhrman, Phys. Rev. Lett. 93, 166603 (2004). 10.1103/PhysRevLett.93.166603
11. Y. B. Bazaliy, Phys. Rev. B 76, 140402(R) (2007). 10.1103/PhysRevB.76. 140402
12. B. Özyilmz, A. D. Kent, D. Monsma, J. Z. Sun, M. J. Rooks, and R. H. Koch, Phys. Rev. Lett. 91, 067203 (2003). 10.1103/PhysRevLett.91.067203
13. E. B. Myers, F. J. Albert, J. C. Sankey, E. Bonet, R. A. Buhrman, and D. C. Ralph, Phys. Rev. Lett. 89, 196801 (2002). 10.1103/PhysRevLett.89.196801
14. D. M. Apalkov and P. B. Visscher, Phys. Rev. B 72, 180405(R) (2005). 10.1103/PhysRevB.72.180405
15. Z. Li and S. Zhang, Phys. Rev. B 68, 024404 (2003). 10.1103/PhysRevB.68. 024404
16. Z. Li and S. Zhang, Phys. Rev. B 69, 134416 (2004). 10.1103/PhysRevB.69. 134416
17. G. D. Chaves-OFlynn, D. L. Stein, A. D. Kent, and E. Vanden-Eijnden, J. Appl. Phys. 109, 07C918 (2011). 10.1063/1.3565021
18. W. E, W. Ren, and E. Vanden-Eijnden, Commun. Pure Appl. Math. 57, 637 (2004). 10.1002/cpa.20005
19. M. Heymann and E. Vanden-Eijnden, Commun. Pure Appl. Math. 61, 1052 (2008). 10.1002/cpa.20238
20. D. C. Ralph and M. D. Stiles, J. Magn. Magn. Mater. 320, 1190 (2008). 10.1016/j.jmmm.2007.12.019
21. A. Brataas, A. D. Kent, and H. Ohno, Nature Mater. 11, 372 (2012). 10.1038/nmat3311
22. R. V. Kohn, M. G. Reznikoff, and E. Vanden-Eijnden, J. Nonlinear Sci. 15, 223 (2005). 10.1007/s00332-005-0671-z
23. Y.-C. Chen, D.-S. Hung, Y.-D. Yao, S.-F. Lee, H.-P. Ji, and C. Yu, J. Appl. Phys. 101, 09C104 (2007). 10.1063/1.2711072
24. X. Waintal and P. W. Brouwer, Phys. Rev. B 65, 054407 (2002). 10.1103/PhysRevB.65.054407
25. W. Feller, Trans. Am. Math. Soc. 77, 1 (1954). 10.1090/S0002-9947-1954- 0063607-6