Analytic expression of the temperature increment in a spin transfer torque nanopillar structure

Journal of Magnetism and Magnetic Materials

Volumn 321, Issue 21, 2009, Pages 3589-3594

  You, Chun Yeol ^a   Ha, Seung Seok ^a   Lee, Hyun Woo ^b  

^a Inha University   (South Korea)

^b Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

Current induced magnetization switching; MRAM; Nanopillar; Spin transfer torque

Indexed keywords

ANALYTIC EXPRESSIONS; ANALYTIC SOLUTION; BARRIER LAYERS; CURRENT INDUCED MAGNETIZATION SWITCHING; FINITE ELEMENT METHOD SIMULATION; GREEN'S FUNCTION METHODS; HEAT CONDUCTION EQUATIONS; MAGNETIC TUNNELING JUNCTIONS; METALLIC SYSTEMS; MRAM; NANOPILLAR; NANOPILLAR STRUCTURES; SPIN TRANSFER TORQUE; STEADY STATE; TEMPERATURE INCREMENT; TIME DEPENDENCE; TIME-DEPENDENT;

GREEN'S FUNCTION; MAGNETIC STORAGE; MAGNETS; RANDOM ACCESS STORAGE; SPIN DYNAMICS;

TORQUE;

EID: 68549130607     PISSN: 03048853     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmmm.2009.06.076     Document Type: Article

References (32)

1. Slonczewski J.C. J. Magn. Magn. Mater. 159 (1996) L1
2. Berger L. Phys. Rev. B 54 (1996) 9353
3. Myers E.B., Ralph D.C., Katine J.A., Louie R.N., and Buhrman R.A. Science 285 (1999) 867
4. Kiselev S.I., Sankey J.C., Krivorotov I.N., Emley N.C., Schoelkopf R.J., Buhrman R.A., and Ralph D.C. Nature 425 (2003) 380
5. Tserkovnyak Y., Brataas A., Bauer G.E.W., and Halperin B.I. Rev. Mod. Phys. 77 (2005) 1375
6. Brataas A., Bauer G.E.W., and Kelly P.J. Phys. Rep. 427 (2006) 157
7. Lee J.C., Chun M.G., Park W.H., You C.-Y., Choe S.-B., Yung W.Y., and Kim K.Y. J. Appl. Phys. 99 (2006) 08G517
8. Urazhdin S., Birge N.O., Pratt Jr. W.P., and Bass J. Phys. Rev. Lett. 91 (2003) 146803
9. Fábián A., Terrier C., Guisan S.S., Hoffer X., Dubey M., Gravier L., and Ansermet J.-Ph. Phys. Rev. Lett. 91 (2003) 257209
10. Petit S., Baraduc C., Thirion C., Ebels U., Liu Y., Li M., Wang P., and Dieny B. Phys. Rev. Lett. 98 (2007) 077203
11. Petit S., de Mestier N., Baraduc C., Thirion C., Liu Y., Li M., Wang P., and Dieny B. Phys. Rev. B 78 (2008) 184420
12. Fuchs G.D., Krivorotov I.N., Braganca P.M., Emley N.C., Garcia A.G.F., Ralph D.C., and Buhrman R.A. Appl. Phys. Lett. 86 (2005) 152509
13. Fuchs G.D., Katine J.A., Kiselev S.I., Mauri D., Wooley K.S., Ralph D.C., and Buhrman R.A. Phys. Rev. Lett. 96 (2006) 186603
14. Holm R. Electric Contacts; Theory and Applications (1967), Springer, Berlin p. 63
15. Carslaw H.S., and Jaeger J.C. Conduction of Heat in Solids. 2nd Ed. (1959), Clarendon, Oxford
16. Beck J.V., Cole K.D., Haji-Sheikh A., and Litkouhi B. Heat Conduction Using Green's Functions (1992), Hemisphere, Washington, DC
17. Loze M.K., and Wright C.D. Appl. Opts. 36 (1997) 494
18. You C.-Y., Sung I.M., and Joe B.-K. Appl. Phys. Lett. 89 (2006) 222513
19. You C.-Y., and Ha S.-S. Appl. Phys. Lett. 91 (2007) 022507
20. COMSOL Multiphysics, 〈http://www.comsol.com〉.
21. Ha S.-S., and You C.-Y. J. Magn. 12 (2007) 7
22. Kittel C. Introduction to Solid State Physics. 8th Ed. (2005), Wiley, New York p. 156
23. Ha S.-S., and You C.-Y. Phys. Stat. Sol. (a) 204 (2007) 3966
24. Hosomi M., et al. IEDM Tech. Dig. IEEE Int. 2005 (2005) 459
25. Junginger F., Kläui M., Backes D., Rüdiger U., Kasama T., Dunin-Borkowski R.E., Heyderman L.J., Vaz C.A.F., and Bland J.A.C. Appl. Phys. Lett. 90 (2007) 132506
26. Ochiai T., et al. Appl. Phys. Lett. 86 (2005) 242506
27. AlHajDarwish M., Kurt H., Urazhdin S., Fert A., Loloee R., Pratt Jr. W.P., and Bass J. Phys. Rev. Lett. 93 (2004) 157203
28. Grollier J., Cros V., Jaffrès H., Hamzic A., George J.M., Faini G., Youssef J.B., Le Gall H., and Fert A. Phys. Rev. B 67 (2003) 174402
29. Halliday D., Resnick R., and Walker J. Fundamentals of Physics. 6th Ed. (2001), Wiely, NewYork p. 619, (Table 27-1)
30. Fukushima A., Kubota H., Yamamoto A., Suzuki Y., and Yuasa S. IEEE Trans. MAG 41 (2005) 2571
31. Fukushima A., Yagami K., Tulapurkar A., Suzuki Y., Kubota H., Yamamoto A., and Yuasa S. Jpn. J. Appl. Phys. 44 (2005) L12
32. Lee D.H., and Lim S.H. Appl. Phys. Lett. 92 (2008) 233502