Berry’s phase and quantum dynamics of ferromagnetic solitons

Physical Review B - Condensed Matter and Materials Physics

Volumn 53, Issue 6, 1996, Pages 3237-3255

  Braun, Hans Benjamin ^a   Loss, Daniel ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000395562     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.53.3237     Document Type: Article

References (84)

1. M. V. Berry, Proc. R. Soc. London Ser. A 392, 45 (1984).
2. F. D. M. Haldane, Phys. Rev. Lett. 50, 1153 (1983).
3. I. Affleck, J. Phys. Condens. Matter. 1, 3047 (1989).
4. D. Loss and D. L. Maslov, Phys. Rev. Lett. 74, 178 (1995).
5. Quantum Tunneling in Magnetism, Proceedings of the NATO Conference, edited by B. Barbara and L. Gunther (Kluwer, Dordrecht, The Netherlands, 1995).
6. M. Enz and R. Schilling, J. Phys. C 19, 1765 (1986).
7. M. Enz and R. Schilling, J. Phys. C 19, L711 (1986).
8. J. L. van Hemmen and S. Sütö, Europhys. Lett. 1, 481 (1986).
9. E. M. Chudnovsky and L. Gunther, Phys. Rev. Lett. 60, 661 (1988).
10. E. M. Chudnovsky and L. Gunther, Phys. Rev. B 37, 9455 (1988).
11. A. Garg and G. H. Kim, Phys. Rev. B 45, 12t921 (1992).
12. B. Barbara and E. M. Chudnovsky, Phys. Lett. A 145, 205 (1990).
13. I. Krive and O.B. Zaslavskii, J. Phys. Condens. Matter 2, 9457 (1990).
14. C. Paulsen et. al Phys. Lett. A 161, 319 (1991).
15. W. Wernsdorfer et. al J. Magn. Magn. Mater. 145, 1 (1995).
16. For a critical discussion of relaxation measurements, see E. Vincent et. al J. Phys. (France) I 4, 273 (1994).
17. D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo and D. Loss, Phys. Rev. Lett. 68, 3092 (1992).
18. D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo and D. Loss, Phys. Rev. Lett. 71, 4279(E) (1993).
19. S. Gider, D. D. Awschalom, T. Douglas and S. Mann, Science 268, 77 (1995).
20. see also D. D. Awschalom and D. P. DiVincenzo, Phys. Today 48, (4), 43 (1995).
21. A. Garg, Phys. Rev. Lett. 70, 2198 (1993).
22. A. Garg, Phys. Rev. Lett. 71, 4249 (1993).
23. A. Garg, Phys. Rev. Lett. 74, 1458 (1995).
24. see also D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo and D. Loss, Phys. Rev. Lett. 70, 2199 (1993).
25. D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo and D. Loss, Phys. Rev. Lett. 71, 4276 (1993).
26. D. Loss, D. DiVincenzo and G. Grinstein, Phys. Rev. Lett. 69, 3233 (1992).
27. J. van Delft and C. Henley, Phys. Rev. Lett. 69, 3237 (1992).
28. D. Loss, D. P. DiVincenzo, G. Grinstein, D. D. Awschalom and J. F. Smyth, Physica B 189, 189 (1993).
29. H. B. Braun and D. Loss, Europhys. Lett. 31, 555 (1995); in Quantum Tunneling in Magnetism (Ref. 6).
30. E. M. Chudnovsky, J. Magn. Magn. Mater. 140-144, 1821 (1995).
31. J. M. Duan and A. Garg, J. Phys. Condens. Matter 7, 2171 (1995).
32. H. B. Braun and D. Loss, J. Appl. Phys. 76, 6177 (1994).
33. For an experimental realization of such a ferromagnetic grating in semiconductors see, e.g., P. D. Ye et. al Phys. Rev. Lett. 74, 3013 (1995).
34. M. Uehara and B. Barbara, J. Phys. (Paris) 47, 235 (1987).
35. B. Barbara et. al J. Appl. Phys. 73, 6703 (1993).
36. K. Hong and N. Giordano, in Quantum Tunneling in Magnetism(Ref. 6).
37. T. Egami, Phys. Status Solidi B 57, 211 (1973).
38. T. Egami, Phys. Status Solidi A 19, 747 (1973)
39. T. Egami, Phys. Status Solidi A 20, 157 (1973).
40. W. Riehemann and E. Nembach, J. Appl. Phys. 55, 1081 (1984).
41. P. C. E. Stamp, Phys. Rev. Lett. 66, 2802 (1991).
42. P. C. E. Stamp, E. M. Chudnovsky and B. Barbara, Int. J. Mod. Phys. B 6, 1355 (1992).
43. G. Tatara and H. Fukuyama, Phys. Rev. Lett. 72, 772 (1994).
44. J. Phys. Soc. Jpn. 63, 2538 (1994).
45. H. B. Braun and D. Loss (unpublished).
46. A. O. Caldeira and A. J. Leggett, Ann. Phys. (N.Y.) 149, 347 (1983).
47. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
48. J. F. Janak, Phys. Rev. 134, A411 (1964).
49. A. S. Abyzov and B. A. Ivanov, Zh. Éksp. Teor. Fiz. 76, 1700 (1979) [Sov. Phys. JETP 49, 865 (1979)].
50. B. A. Ivanov, A. K. Kolezhuk and Yu. N. Mitsai, Fiz. Nizk. Temp. 16, 1412 (1990) [Sov. J. Low Temp. Phys. 16, 800 (1991)].
51. V. G. Bar'yakhtar and B. A. Ivanov, Sov. Sci. Rev. A 16, 1 (1992).
52. A. H. Castro Neto and A. O. Caldeira, Phys. Rev. B 46, 8858 (1992).
53. A. H. Castro Neto and A. O. Caldeira, Phys. Rev. E 48, 4037 (1993).
54. H. B. Braun, Phys. Rev. B 50, 16t485 (1994).
55. J. M. Winter, Phys. Rev. 124, 452 (1962).
56. J. Klauder, Phys. Rev. D 19, 2349 (1979).
57. A. P. Malozemoff and J. C. Slonczewski, Magnetic Domain Walls in Bubble Materials (Academic, New York, 1979).
58. W. F. Brown, Micromagnetics (Interscience Publishers, New York, 1963).
59. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer, New York, 1994), Chap. 10.
60. H.-J. Mikeska and M. Steiner, Adv. Phys. 40, 191 (1991).
61. U. Enz, Helv. Phys. Acta 37, 245 (1964).
62. H. B. Braun and O. Brodbeck, Phys. Rev. Lett. 70, 3335 (1993).
63. R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1982).
64. For a perturbative tunnel splitting calculation, see also I. Ya. Korenblit and E. F. Shender, Sov. Phys. JETP 48, 937 (1978).
65. See R. F. Dashen, B. Hasslacher and A. Neveu, Phys. Rev. D 12, 3424 (1975), for the quantization of a static soliton. In this case, no special treatment is needed for the Goldstone mode.
66. J.-L. Gervais and B. Sakita, Phys. Rev. D 11, 2934 (1975).
67. B. Sakita, Quantum Theory of Many Variable Systems and Fields (World Scientific, Singapore, 1985).
68. H. B. Braun, Phys. Rev. Lett. 71, 3557 (1993).
69. H. B. Braun, Phys. Rev. B 50, 16t501 (1994).
70. D. Loss and P. M. Goldbart, Phys. Rev. B 45, 13t544 (1992).
71. D. Loss, H. Schoeller and P. M. Goldbart, Phys. Rev. B 48, 15t218 (1993).
72. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Oxford University Press, New York, 1993).
73. H. J. Ziman, Principles of the Theory of Solids, 2nd ed. (Cambridge University Press, Cambridge, England, 1972).
74. M. Buettiker, I. Imry and R. Landauer, Phys. Lett. 96A, 365 (1983).
75. See, e.g., P. G. deGennes, Superconductivity of Metals and Alloys (W. A. Benjamin, Inc., New York, 1966).
76. D. J. Thouless and Y. Gefen, Phys. Rev. Lett. 66, 806 (1991).
77. N. Byers and C. N. Yang, Phys. Rev. Lett. 7, 46 (1961).
78. R. S. Tebble and D. J. Craik, Magnetic Materials (Wiley-Interscience, New York, 1969), p. 313.
79. T. H. O'Dell, Ferromagnetodynamics (Macmillan, London, 1981), p. 65.
80. See also A. Garg, Europhys. Lett. 22, 205 (1993).
81. R. M. Hornreich and H. Thomas, Phys. Rev. 17, 1406 (1978).
82. J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading, MA, 1994), Chap. 3.8.
83. See, e.g., T. Einarsson and H. Johannesson, Phys. Rev. B 43, 5867 (1991).
84. T. T. Wu and C. N. Yang, Phys. Rev. D 12, 3845 (1975).