Topological phase interference induced by a magnetic field along hard anisotropy axis in nanospin systems with different crystal symmetries

Physical Review B - Condensed Matter and Materials Physics

Volumn 61, Issue 21, 2000, Pages 14581-14591

  Lü, Rong ^a   Hu, Hui ^a   Zhu, Jia Lin ^a   Wang, Xiao Bing ^a   Chang, Lee ^a   Gu, Bing Lin ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008416827     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.61.14581     Document Type: Article

References (76)

1. A. O. Caldeira and A. J. Leggett, Phys. Rev. Lett. 46, 211 (1981).
2. A. O. Caldeira and A. J. Leggett, Ann. Phys. (N.Y.) 149, 374 (1983).
3. S. Chakravarty and A. J. Leggett, Phys. Rev. Lett. 52, 5 (1984).
4. A.J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).
5. J. Clarke, A. N. Cleland, M. H. Devoret, D. Esteve, and J. M. Martinis, Science 239, 992 (1988) and references therein.
6. E. M. Chudnovsky and L. Gunther, Phys. Rev. Lett. 60, 661 (1988).
7. M. Enz and R. Schilling, J. Phys. C 19, L711 (1986); 19, 1765 (1986).
8. M. Enz and R. Schilling, J. Phys. C 19, L711 (1986); 19, 1765 (1986).
9. J. L. van Hemmen and A. Süto, Europhys. Lett. 1, 481 (1986); Physica B 141, 37 (1986).
10. J. L. van Hemmen and A. Süto, Europhys. Lett. 1, 481 (1986); Physica B 141, 37 (1986).
11. G. Scharf, W. F. Wreszinski, and J. L. van Hemmen, J. Phys. A 20, 4309 (1987).
12. A. Garg and G. -H. Kim, J. Appl. Phys. 67, 5669 (1990); Phys. Rev. B 45, 12 921 (1992).
13. A. Garg and G. -H. Kim, J. Appl. Phys. 67, 5669 (1990); Phys. Rev. B 45, 12 921 (1992).
14. O. B. Zaslavskii, Phys. Lett. A 145, 471 (1990); Phys. Rev. B 42, 992 (1990).
15. O. B. Zaslavskii, Phys. Lett. A 145, 471 (1990); Phys. Rev. B 42, 992 (1990).
16. S. E. Barnes, Adv. Phys. 30, 801 (1981); J. Phys.: Condens. Matter 6, 719 (1994); S. E. Barnes, R. Ballou, and J. Strelen, Phys. Rev. Lett. 79, 289 (1997).
17. S. E. Barnes, Adv. Phys. 30, 801 (1981); J. Phys.: Condens. Matter 6, 719 (1994); S. E. Barnes, R. Ballou, and J. Strelen, Phys. Rev. Lett. 79, 289 (1997).
18. S. E. Barnes, Adv. Phys. 30, 801 (1981); J. Phys.: Condens. Matter 6, 719 (1994); S. E. Barnes, R. Ballou, and J. Strelen, Phys. Rev. Lett. 79, 289 (1997).
19. S. E. Barnes, J. Phys.: Condens. Matter 10, L665 (1998); cond-mat/9710302 (unpublished); cond-mat/9901219 (unpublished); cond-mat/9907257 (unpublished).
20. B. Barbara and E. M. Chudnovsky, Phys. Lett. A 145, 205 (1990).
21. E. M. Chudnovsky, J. Magn. Magn. Mater. 140-144, 1821 (1995).
22. J. M. Duan and A. Garg, J. Phys.: Condens. Matter 7, 2171 (1995).
23. I. V. Krive and O. B. Zaslavskii, J. Phys.: Condens. Matter 2, 9457 (1990).
24. H. Simanjuntak, J. Phys.: Condens. Matter 6, 2925 (1994).
25. Rong Lü, Pei-Fang Zhang, Jia-Lin Zhu, and Lee Chang, Phys. Rev. B 56, 10 993 (1997).
26. M. -C. Miguel and E. M. Chudnovsky, Phys. Rev. B 54, 388 (1996).
27. G. -H. Kim and D. S. Hwang, Phys. Rev. B 55, 8918 (1997).
28. G. -H. Kim, Phys. Rev. B 57, 10 688 (1998).
29. W. Wernsdorfer, E. B. Orozco, K. Hasselbach, A. Benoit, D. Mailly, O. Kubo, H. Nakano, and B. Barbara, Phys. Rev. Lett. 79, 4014 (1997).
30. E. M. Chudnovsky and D. A. Garanin, Phys. Rev. Lett. 79, 4469 (1997); D. A. Garanin, X. M. Hidalgo, and E. M. Chudnovsky, Phys. Rev. B 57, 13 639 (1998).
31. E. M. Chudnovsky and D. A. Garanin, Phys. Rev. Lett. 79, 4469 (1997); D. A. Garanin, X. M. Hidalgo, and E. M. Chudnovsky, Phys. Rev. B 57, 13 639 (1998).
32. J.-Q. Liang, H. J. Müller-Kirsten, D. K. Park, and F. Zimmerschied, Phys. Rev. Lett. 81, 216 (1998); S.-Y. Lee, H. J. Müller-Kirsten, D. K. Park, and F. Zimmerschied, Phys. Rev. B 58, 5554 (1998).
33. J.-Q. Liang, H. J. Müller-Kirsten, D. K. Park, and F. Zimmerschied, Phys. Rev. Lett. 81, 216 (1998); S.-Y. Lee, H. J. Müller-Kirsten, D. K. Park, and F. Zimmerschied, Phys. Rev. B 58, 5554 (1998).
34. D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo, and D. Loss, Phys. Rev. Lett. 68, 3092 (1992); D. D. Awschalom, D. P. DiVincenzo, and J. F. Smyth, Science 258, 414 (1992); D. D. Awschalom, D. P. DiVincenzo, G. Grinstein, and D. Loss, Phys. Rev. Lett. 71, 4276 (1993); S. Gider, D. D. Awschalom, T. Douglas, S. Mann, and M. Chaparala, Science 268, 77 (1995).
35. D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo, and D. Loss, Phys. Rev. Lett. 68, 3092 (1992); D. D. Awschalom, D. P. DiVincenzo, and J. F. Smyth, Science 258, 414 (1992); D. D. Awschalom, D. P. DiVincenzo, G. Grinstein, and D. Loss, Phys. Rev. Lett. 71, 4276 (1993); S. Gider, D. D. Awschalom, T. Douglas, S. Mann, and M. Chaparala, Science 268, 77 (1995).
36. D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo, and D. Loss, Phys. Rev. Lett. 68, 3092 (1992); D. D. Awschalom, D. P. DiVincenzo, and J. F. Smyth, Science 258, 414 (1992); D. D. Awschalom, D. P. DiVincenzo, G. Grinstein, and D. Loss, Phys. Rev. Lett. 71, 4276 (1993); S. Gider, D. D. Awschalom, T. Douglas, S. Mann, and M. Chaparala, Science 268, 77 (1995).
37. D. D. Awschalom, J. F. Smyth, G. Grinstein, D. P. DiVincenzo, and D. Loss, Phys. Rev. Lett. 68, 3092 (1992); D. D. Awschalom, D. P. DiVincenzo, and J. F. Smyth, Science 258, 414 (1992); D. D. Awschalom, D. P. DiVincenzo, G. Grinstein, and D. Loss, Phys. Rev. Lett. 71, 4276 (1993); S. Gider, D. D. Awschalom, T. Douglas, S. Mann, and M. Chaparala, Science 268, 77 (1995).
38. D. D. Awschalom, M. A. McCord, and G. Grinstein, Phys. Rev. Lett. 65, 783 (1990).
39. B. Barbara, L. C. Sampaio, J. E. Wegrowe, B. A. Ratnam, A. Marchand, C. Paulsen, M. A. Novak, J. L. Tholence, M. Uehara, and D. Fruchart, J. Appl. Phys. 73, 6703 (1993) and references therein.
40. J. Tejada and X. X. Zhang, J. Appl. Phys. 73, 6709 (1993) and references therein.
41. D. P. DiVincenzo, in Quantum Tunneling of Magnetization, edited by L. Gunther and B. Barbara (Kluwer, Dordrecht, 1995).
42. M. V. Berry, Proc. R. Soc. London, Ser. A 329, 45 (1984); A. Shapere and F. Wilczek, Geometric Phase in Physics (World Scientific, Singapore, 1986).
43. M. V. Berry, Proc. R. Soc. London, Ser. A 329, 45 (1984); A. Shapere and F. Wilczek, Geometric Phase in Physics (World Scientific, Singapore, 1986).
44. E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, Reading, MA, 1992), Chap. 5.
45. D. Loss, D. P. DiVicenzo, and G. Grinstein, Phys. Rev. Lett. 69, 3232 (1992).
46. J. V. Delft and G. L. Henley, Phys. Rev. Lett. 69, 3236 (1992).
47. A. Garg, Europhys. Lett. 22, 205 (1993).
48. H. B. Braun and D. Loss, Europhys. Lett. 31, 555 (1995).
49. E. M. Chudnovsky and D. P. DiVicenzo, Phys. Rev. B 48, 10 548 (1993).
50. A. Garg, Phys. Rev. B 51, 15 161 (1995).
51. Xiao-Bing Wang and Fu-Cho Pu, J. Phys.: Condens. Matter 8, L541 (1996).
52. Rong Lü, Jia-Lin Zhu, Xi Chen, and Lee Chang, Eur. Phys. J. B 3, 35 (1998).
53. Rong Lü, Jia-Lin Zhu, Xiao-Bing Wang, and Lee Chang, Phys. Rev. B 58, 8542 (1998).
54. W. Wernsdorfer and R. Sessoli, Science 284, 133 (1999).
55. J. Villain, F. Hartmann-Boutron, R. Sessoli, and A. Rettori, Europhys. Lett. 27, 159 (1994); P. Politi, A. Rettori, F. Hartmann-Boutron, and J. Villain, Phys. Rev. Lett. 75, 537 (1995); 76, 3041 (1996); A. L. Burin, N. V. Prokof'ev, and P. C. E. Stamp, ibid. 76, 3040 (1996); F. Hartmann-Boutron, P. Politi, and J. Villain, Int. J. Mod. Phys. B 10, 2577 (1996) and references therein; A. Cuccoli, A. Fort, A. Rettori, E. Adam, and J. Villain, cond-mat/9905273 (unpublished).
56. J. Villain, F. Hartmann-Boutron, R. Sessoli, and A. Rettori, Europhys. Lett. 27, 159 (1994); P. Politi, A. Rettori, F. Hartmann-Boutron, and J. Villain, Phys. Rev. Lett. 75, 537 (1995); 76, 3041 (1996); A. L. Burin, N. V. Prokof'ev, and P. C. E. Stamp, ibid. 76, 3040 (1996); F. Hartmann-Boutron, P. Politi, and J. Villain, Int. J. Mod. Phys. B 10, 2577 (1996) and references therein; A. Cuccoli, A. Fort, A. Rettori, E. Adam, and J. Villain, cond-mat/9905273 (unpublished).
57. J. Villain, F. Hartmann-Boutron, R. Sessoli, and A. Rettori, Europhys. Lett. 27, 159 (1994); P. Politi, A. Rettori, F. Hartmann-Boutron, and J. Villain, Phys. Rev. Lett. 75, 537 (1995); 76, 3041 (1996); A. L. Burin, N. V. Prokof'ev, and P. C. E. Stamp, ibid. 76, 3040 (1996); F. Hartmann-Boutron, P. Politi, and J. Villain, Int. J. Mod. Phys. B 10, 2577 (1996) and references therein; A. Cuccoli, A. Fort, A. Rettori, E. Adam, and J. Villain, cond-mat/9905273 (unpublished).
58. J. Villain, F. Hartmann-Boutron, R. Sessoli, and A. Rettori, Europhys. Lett. 27, 159 (1994); P. Politi, A. Rettori, F. Hartmann-Boutron, and J. Villain, Phys. Rev. Lett. 75, 537 (1995); 76, 3041 (1996); A. L. Burin, N. V. Prokof'ev, and P. C. E. Stamp, ibid. 76, 3040 (1996); F. Hartmann-Boutron, P. Politi, and J. Villain, Int. J. Mod. Phys. B 10, 2577 (1996) and references therein; A. Cuccoli, A. Fort, A. Rettori, E. Adam, and J. Villain, cond-mat/9905273 (unpublished).
59. J. Villain, F. Hartmann-Boutron, R. Sessoli, and A. Rettori, Europhys. Lett. 27, 159 (1994); P. Politi, A. Rettori, F. Hartmann-Boutron, and J. Villain, Phys. Rev. Lett. 75, 537 (1995); 76, 3041 (1996); A. L. Burin, N. V. Prokof'ev, and P. C. E. Stamp, ibid. 76, 3040 (1996); F. Hartmann-Boutron, P. Politi, and J. Villain, Int. J. Mod. Phys. B 10, 2577 (1996) and references therein; A. Cuccoli, A. Fort, A. Rettori, E. Adam, and J. Villain, cond-mat/9905273 (unpublished).
60. J. Villain, F. Hartmann-Boutron, R. Sessoli, and A. Rettori, Europhys. Lett. 27, 159 (1994); P. Politi, A. Rettori, F. Hartmann-Boutron, and J. Villain, Phys. Rev. Lett. 75, 537 (1995); 76, 3041 (1996); A. L. Burin, N. V. Prokof'ev, and P. C. E. Stamp, ibid. 76, 3040 (1996); F. Hartmann-Boutron, P. Politi, and J. Villain, Int. J. Mod. Phys. B 10, 2577 (1996) and references therein; A. Cuccoli, A. Fort, A. Rettori, E. Adam, and J. Villain, cond-mat/9905273 (unpublished).
61. N. V. Prokof'ev and P. C. E. Stamp, J. Low Temp. Phys. 104, 143 (1996); 113, 1147 (1998); G. Rose and P. C. E. Stamp, ibid. 113, 1147 (1998).
62. N. V. Prokof'ev and P. C. E. Stamp, J. Low Temp. Phys. 104, 143 (1996); 113, 1147 (1998); G. Rose and P. C. E. Stamp, ibid. 113, 1147 (1998).
63. N. V. Prokof'ev and P. C. E. Stamp, J. Low Temp. Phys. 104, 143 (1996); 113, 1147 (1998); G. Rose and P. C. E. Stamp, ibid. 113, 1147 (1998).
64. L. Gunther, Europhys. Lett. 39, 1 (1997).
65. D. A. Garanin and E. M. Chudnovsky, Phys. Rev. B 56, 11 102 (1997) and references therein.
66. M. N. Leuenberger and D. A. Garanin, cond-mat/9810156 (unpublished).
67. A. Garg, cond-mat/9907152 (unpublished); cond-mat/9907197 (unpublished); cond-mat/9907198 (unpublished).
68. I. Chiorescu, W. Wernsdorfer, A. Müller, H. Bögge, and B. Barbara, cond-mat/9910117 (unpublished).
69. N. V. Prokof'ev and P. C. E. Stamp, Phys. Rev. Lett. 80, 5794 (1998); J. Phys.: Condens. Matter 5, L663 (1998).
70. N. V. Prokof'ev and P. C. E. Stamp, Phys. Rev. Lett. 80, 5794 (1998); J. Phys.: Condens. Matter 5, L663 (1998).
71. J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading, MA, 1994), Chap. 3.8.
72. J. Klauder, Phys. Rev. D 19, 2349 (1979).
73. H.-B. Braun and D. Loss, Phys. Rev. B 53, 3237 (1996).
74. S. Coleman, Aspects of Symmetry (Cambridge University Press, Cambridge, England, 1985), Chap. 7.
75. Xiao-Bing Wang and Fu-Cho Pu, J. Phys.: Condens. Matter 9, 693 (1997).
76. Jia-Lin Zhu, Rong Lü, Xiao-Bing Wang, Xi Chen, Lee Chang, and Fu-Cho Pu, Eur. Phys. J. B 4, 223 (1998).