Theory of 360° domain walls in thin ferromagnetic films

Journal of Applied Physics

Volumn 104, Issue 5, 2008, Pages

  Muratov, C B ^a   Osipov, V V ^b,c  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^b MISSION CRITICAL TECHNOLOGIES INC   (United States)

^c NASA AMES RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL CURRENTS; FERROMAGNETIC MATERIALS; FERROMAGNETISM; MAGNETIC DEVICES; MAGNETISM; MAGNETIZATION; MAGNETIZATION REVERSAL; MAGNETS; MODULATION; THICK FILMS; TWO DIMENSIONAL; WALLS (STRUCTURAL PARTITIONS);

APPLIED FIELDS; BREAK-UP; COMPUTATIONAL STUDIES; FERROMAGNETIC FILMS; MAGNETIZATION PATTERNS; MICRO-MAGNETIC MODELING; NON-UNIQUENESS; ONE-DIMENSIONAL; PULSED FIELDS; REVERSE FIELD; THIN FERROMAGNETIC FILMS; WALL ENERGY;

DOMAIN WALLS;

EID: 52049087773     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2970100     Document Type: Article

References (58)

1. A. Aharoni, Introduction to the Theory of Ferromagnetism (Oxford University Press, New York, 1998).
2. A. Hubert and R. Schäfer, Magnetic Domains (Springer, Berlin, 1998).
3. A. P. Malozemoff and J. C. Slonczewski, Magnitic Domain Walls in Bubble Materials (Academic, New York, 1979).
4. C. L. Dennis, R. P. Borges, L. D. Buda, U. Ebels, J. F. Gregg, M. Hehn, E. Jouguelet, K. Ounadjela, I. Petej, I. L. Prejbeanu, and H. J. Thornton, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/14/49/201 14, R1175 (2002).
5. R. Allenspach, M. Stampanoni, and A. Bischof, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.65.3344 65, 3344 (1990).
6. C. Chappert, D. Renard, P. Beauvillain, J. P. Renard, and J. Seiden, J. Magn. Magn. Mater. 0304-8853 10.1016/0304-8853(86)90257-X 54-57, 795 (1986).
7. B. Heinrich and J. F. Cochran, Adv. Mater. (Weinheim, Ger.) 42, 523 (1993). 0001-8732
8. H. P. Oepen, J. Magn. Magn. Mater. 0304-8853 10.1016/0304-8853(91)90314-Z 93, 116 (1991).
9. H. P. Oepen, M. Benning, H. Ibach, C. M. Schneider, and J. Kirschner, J. Magn. Magn. Mater. 0304-8853 10.1016/0304-8853(90)90113-5 86, L137 (1990).
10. W. H. Rippard and R. A. Buhrman, J. Appl. Phys. 0021-8979 10.1063/1.372747 87, 6490 (2000).
11. M. Kläui, C. A. F. Vaz, L. Lopez-Diaz, and J. A. C. Bland, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/15/21/201 15, R985 (2003).
12. M. N. Baibich, J. M. Broto, A. Fert, F. N. Van Dau, F. Petroff, P. Eitenne, G. Creuzet, A. Friederich, and J. Chazelas, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.61.2472 61, 2472 (1988).
13. G. Binasch, P. Grünberg, F. Saurenbach, and W. Zinn, Phys. Rev. B 0163-1829 10.1103/PhysRevB.39.4828 39, 4828 (1989).
14. T. Miyazaki and N. Tezuka, J. Magn. Magn. Mater. 0304-8853 10.1016/0304-8853(95)90001-2 139, L231 (1995).
15. Ultrathin Magnetic Structures, edited by, B. Heinrich, and, J. A. C. Bland, (Springer, Berlin, 1994).
16. S. Tehrani, J. M. Slaughter, M. Deherrera, B. N. Engel, N. D. Rizzo, J. Salter, M. Durlam, R. W. Dave, J. Janesky, B. Butcher, K. Smith, and G. Grynkewich, Proc. IEEE 0018-9219 10.1109/JPROC.2003.811804 91, 703 (2003).
17. J. C. Slonczewski, J. Magn. Magn. Mater. 0304-8853 10.1016/0304-8853(96) 00062-5 159, L1 (1996).
18. L. Berger, Phys. Rev. B 0163-1829 10.1103/PhysRevB.54.9353 54, 9353 (1996).
19. J. Bass, S. Urazhdin, N. O. Birge, and W. P. Pratt, Phys. Status Solidi A 0031-8965 10.1002/pssa.200304421 201, 1379 (2004).
20. M. Tsoi, A. G. M. Jansen, J. Bass, W. -C. Chiang, M. Seck, V. Tsoi, and P. Wyder, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.80.4281 80, 4281 (1998).
21. E. B. Myers, D. C. Ralph, J. A. Katine, R. N. Louie, and R. A. Buhrman, Science 0036-8075 10.1126/science.285.5429.867 285, 867 (1999).
22. J. -G. Zhu, Y. Zheng, and G. A. Prinz, Science 87, 6668 (2000).
23. C. A. F. Vaz, T. J. Hayward, J. Llandro, F. Schackert, D. Morecroft, J. A. C. Bland, M. Kläui, M. Laufenberg, D. Backes, U. Rudiger, F. J. Castano, C. A. Ross, L. J. Heyderman, F. Nolting, A. Locatelli, G. Faini, S. Cherifi, and S. W. Wernsdorfer, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/19/ 25/255207 19, 255207 (2007).
24. F. J. Castao, C. A. Ross, C. Frandsen, A. Eilez, D. Gil, H. I. Smith, M. Redjdal, and F. B. Humphrey, Phys. Rev. B 0163-1829 10.1103/PhysRevB.67.184425 67, 184425 (2003).
25. F. Q. Zhu, G. W. Chern, O. Tchernyshyov, X. C. Zhu, J. G. Zhu, and C. L. Chien, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.96.027205 96, 027205 (2006).
26. D. O. Smith and K. J. Harte, J. Appl. Phys. 0021-8979 10.1063/1.1728745 33, 1399 (1962).
27. R. H. Wade, Philos. Mag. 10, 49 (1964). 1478-6435
28. R. H. Wade, Philos. Mag. 12, 437 (1965). 1478-6435
29. E. Feldtkeller and W. Liesk, Z. Angew. Phys. 14, 195 (1962). 0044-2283
30. X. Portier and A. K. Petford-Long, Appl. Phys. Lett. 0003-6951 10.1063/1.125884 76, 754 (2000).
31. L. J. Heyderman, H. Niedoba, H. O. Gupta, and I. B. Puchalska, J. Magn. Magn. Mater. 0304-8853 10.1016/0304-8853(91)90620-P 96, 125 (1991).
32. M. O. Liedke, K. Potzger, A. H. Bothmer, J. Fassbender, B. Hillebrands, M. Rickart, and P. P. Freitas, J. Appl. Phys. 0021-8979 10.1063/1.2335805 100, 043918 (2006).
33. H. S. Cho, C. Hou, M. Sun, and H. Fujiwara, J. Appl. Phys. 0021-8979 10.1063/1.369110 85, 5160 (1999).
34. T. Schrefl, J. Fidler, and M. Zehetmayer, J. Appl. Phys. 0021-8979 10.1063/1.373390 87, 5517 (2000).
35. M. Redjdal, P. W. Gross, A. Kazmi, and F. B. Humphrey, J. Appl. Phys. 0021-8979 10.1063/1.370218 85, 6193 (1999).
36. D. Ingerman, V. Druskin, and L. Knizhnerman, Commun. Pure Appl. Math. 0010-3640 10.1002/1097-0312(200008)53:8<1039::AID-CPA4>3.0.CO;2-I 53, 1039 (2000).
37. C. B. Muratov and V. V. Osipov, J. Comput. Phys. 216, 637 (2006). 0021-9991
38. T. Trunk, M. Redjdal, A. Kákay, M. F. Ruane, and F. B. Hunphrey, J. Appl. Phys. 0021-8979 10.1063/1.1355357 89, 7606 (2001).
39. C. J. Garcia-Cervera and W. E, J. Appl. Phys. 0021-8979 10.1063/1.1371000 90, 370 (2001).
40. N. Garcia, V. V. Osipov, E. V. Ponizovskaya, and A. del Moral, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.86.4926 86, 4926 (2001).
41. R. V. Kohn and V. Slastikov, Proc. R. Soc. London 461, 143 (2005).
42. V. A. Molyneux, V. V. Osipov, and E. V. Ponizovskaya, Phys. Rev. B 0163-1829 10.1103/PhysRevB.65.184425 65, 184425 (2002).
43. M. E. Taylor, Partial Differential Equations II: Qualitative Studies of Linear Equations (Springer-Verlag, Berlin, 1996).
44. A. Capella, C. Melcher, and F. Otto, Nonlinearity 0951-7715 10.1088/0951-7715/20/11/004 20, 2519 (2007).
45. N. Ghoussoub and C. Gui, Math. Ann. 0025-5831 10.1007/s002080050196 311, 481 (1998).
46. A. DeSimone, H. Knüpfer, and F. Otto, Calculus Var. Partial Differ. Equ. 27, 233 (2006).
47. G. A. Jones and B. K. Middleton, Br. J. Appl. Phys., J. Phys. D 2, 685 (1969). 0022-3727
48. B. Fornberg, A Practical Guide to Pseudospectral Methods (Cambridge University Press, Cambridge, 1996).
49. R. Riedel and A. Seeger, Phys. Status Solidi B 0370-1972 10.1002/pssb.2220460136 46, 377 (1971).
50. C. Melcher, Arch. Ration. Mech. Anal. 168, 83 (2003). 0003-9527
51. C. J. Garcia-Cervera, Eur. J. Appl. Math. 15, 451 (2004). 0956-7925
52. G. B. McFadden, A. A. Wheeler, R. J. Braun, S. R. Coriell, and R. F. Sekerka, Phys. Rev. E 1063-651X 10.1103/PhysRevE.48.2016 48, 2016 (1993).
53. J. E. Taylor and J. W. Cahn, J. Stat. Phys. 0022-4715 10.1007/BF02186838 77, 183 (1994).
54. C. Herring, in Structure and Properties of Solid Surfaces, edited by, R. Gomer, and, C. S. Smith, (University of Chicago, Chicago, 1952).
55. C. B. Muratov, Phys. Rev. E 1063-651X 10.1103/PhysRevE.66.066108 66, 066108 (2002).
56. W. Rave and A. Hubert, IEEE Trans. Magn. 0018-9464 10.1109/20.914337 36, 3886 (2000).
57. F. Almgren, J. E. Taylor, and L. Wang, SIAM J. Control Optim. 0363-0129 10.1137/0331020 31, 387 (1993).
58. L. Ambrosio, N. Fusco, and D. Pallara, Functions of Bounded Variation and Free Discontinuity Problems, Oxford Mathematical Monographs (Clarendon, New York, 2000).