Tunneling and inversion symmetry in single-molecule magnets: The case of the Mn12 wheel molecule

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 10, 2010, Pages

  Del Barco, E ^a   Hill, S ^b   Beedle, C C ^c   Hendrickson, D N ^c   Tupitsyn, I S ^d   Stamp, P C E ^d  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

^b Florida State University   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957571931     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.104426     Document Type: Article

References (116)

1. D. Gatteschi, R. Sessoli, and J. Villain, Molecular Nanomagnets (Oxford University Press, New York, 2008).
2. Quantum Tunneling of the Magnetization-QTM'94, NATO Advanced Studies Institute Series E: Applied Science, edited by, L. Gunther, and, B. Barbara, (Kluwer, Dordrecht, 1995), Vol. 301.
3. E. M. Chudnovsky and J. Tejada, Macroscopic Quantum Tunneling of Magnetic Moment (Cambridge University Press, Cambridge, England, 1998). 10.1017/CBO9780511524219
4. I. Ya. Korenblit and E. F. Shender, Sov. Phys. JETP 48, 937 (1978).
5. M. Enz and R. Schilling, J. Phys. C 19, L711 (1986) 10.1088/0022-3719/19/ 30/005
6. M. Enz and R. Schilling, J. Phys. C and 19, 1765 (1986). 10.1088/0022-3719/19/11/014
7. J. L. van Hemmen and A Suto, Europhys. Lett. 1, 481 (1986) 10.1209/0295-5075/1/10/001
8. J. L. van Hemmen and A Suto, and Physica B 141, 37 (1986). 10.1016/0378-4363(86)90347-5
9. A. S. Ioselevich, JETP Lett. 45, 570 (1987)
10. P. C. E. Stamp, E. M. Chudnovsky, and B. Barbara, Int. J. Mod. Phys. B 6, 1355 (1992). 10.1142/S0217979292000670
11. E. N. Bogachek and I. V. Krive, Phys. Rev. B 46, 14559 (1992). 10.1103/PhysRevB.46.14559
12. D. Loss, D. P. DiVincenzo, and G. Grinstein, Phys. Rev. Lett. 69, 3232 (1992). 10.1103/PhysRevLett.69.3232
13. J. von Delft and C. L. Henley, Phys. Rev. Lett. 69, 3236 (1992). 10.1103/PhysRevLett.69.3236
14. A. Garg, Europhys. Lett. 22, 205 (1993). 10.1209/0295-5075/22/3/008
15. N. V. Prokof'ev and P. C. E. Stamp, J. Phys.: Condens. Matter 5, L663 (1993). 10.1088/0953-8984/5/50/002
16. N. V. Prokof'ev and P. C. E. Stamp, J. Low Temp. Phys. 104, 143 (1996). 10.1007/BF00754094
17. P. Politi, A. Rettori, F. Hartmann-Boutron, and J. Villain, Phys. Rev. Lett. 75, 537 (1995). 10.1103/PhysRevLett.75.537
18. M. N. Leuenberger and D. Loss, Europhys. Lett. 46, 692 (1999) 10.1209/epl/i1999-00321-x
19. see also I. S. Tupitsyn and B. Barbara, in Magnetoscience-From Molecules to Materials, edited by, J. S. Miller, and, M. Drillon, (Wiley-VCH, Germany, 2001), Vol. III, pp. 109-168. 10.1002/3527600140.ch4
20. N. V. Prokof'ev and P. C. E. Stamp, Phys. Rev. Lett. 80, 5794 (1998). 10.1103/PhysRevLett.80.5794
21. F. Luis, J. Bartolomé, and J. F. Fernandez, Phys. Rev. B 57, 505 (1998). 10.1103/PhysRevB.57.505
22. C. Paulsen, J. G. Park, B. Barbara, R. Sessoli, and A. Caneschi, J. Magn. Magn. Mater. 140, 379 (1995). 10.1016/0304-8853(94)00962-7
23. J. M. Hernández, X. X. Zhang, F. Luis, J. Bartolomé, J. Tejada, and R. Ziolo, Europhys. Lett. 35, 301 (1996). 10.1209/epl/i1996-00570-7
24. C. Sangregorio, T. Ohm, C. Paulsen, R. Sessoli, and D. Gatteschi, Phys. Rev. Lett. 78, 4645 (1997). 10.1103/PhysRevLett.78.4645
25. T. Ohm, C. Sangregorio, and C. Paulsen, Europhys. J. B6, 595 (1998).
26. L. Thomas, A. Caneschi, and B. Barbara, Phys. Rev. Lett. 83, 2398 (1999). 10.1103/PhysRevLett.83.2398
27. W. Wernsdorfer, T. Ohm, C. Sangregorio, R. Sessoli, D. Mailly, and C. Paulsen, Phys. Rev. Lett. 82, 3903 (1999) 10.1103/PhysRevLett.82.3903
28. W. Wernsdorfer, A. Caneschi, R. Sessoli, D. Gatteschi, A. Cornia, V. Villar, and C. Paulsen, Phys. Rev. Lett. 84, 2965 (2000) 10.1103/PhysRevLett.84. 2965
29. W. Wernsdorfer, Adv. Chem. Phys. 118, 99 (2001). 10.1002/9780470141786. ch3
30. J. R. Friedman, M. P. Sarachik, J. Tejada, and R. Ziolo, Phys. Rev. Lett. 76, 3830 (1996). 10.1103/PhysRevLett.76.3830
31. L. Thomas, F. Lionti, R. Ballou, D. Gatteschi, R. Sessoli, and B. Barbara, Nature (London) 383, 145 (1996). 10.1038/383145a0
32. G. Rose and P. C. E. Stamp, J. Low Temp. Phys. 113, 1153 (1998). 10.1023/A:1022549611023
33. W. Wernsdorfer and R. Sessoli, Science 284, 133 (1999). 10.1126/science.284.5411.133
34. J. Liu, B. Wu, L. Fu, R. B. Diener, and Q. Niu, Phys. Rev. B 65, 224401 (2002). 10.1103/PhysRevB.65.224401
35. N. A. Sinitsyn and N. Prokof'ev, Phys. Rev. B 67, 134403 (2003). 10.1103/PhysRevB.67.134403
36. V. L. Pokrovsky and D. Sun, Phys. Rev. B 76, 024310 (2007). 10.1103/PhysRevB.76.024310
37. D. A. Garanin and R. Schilling, Phys. Rev. B 71, 184414 (2005). 10.1103/PhysRevB.71.184414
38. A. Vijayaraghavan and A. Garg, Phys. Rev. B 79, 104423 (2009). 10.1103/PhysRevB.79.104423
39. P. C. E. Stamp, Phys. Rev. Lett. 66, 2802 (1991). 10.1103/PhysRevLett.66. 2802
40. C. Paulsen, L. C. Sampaio, B. Barbara, R. Tucoulou-Tachoueres, D. Fruchart, A. Marchand, J. L. Tholence, and M. Uehara, Europhys. Lett. 19, 643 (1992). 10.1209/0295-5075/19/7/013
41. G. Tatara and H. Fukuyama, Phys. Rev. Lett. 72, 772 (1994). 10.1103/PhysRevLett.72.772
42. K. Hong and N. Giordano, Phys. Rev. B 51, 9855 (1995) 10.1103/PhysRevB.51.9855
43. K. Hong and N. Giordano, J. Phys.: Condens. Matter 8, L301 (1996) 10.1088/0953-8984/8/19/001
44. K. Hong and N. Giordano, Europhys. Lett. 36, 147 (1996). 10.1209/epl/i1996-00201-y
45. M. Dubé and P. C. E. Stamp, J. Low Temp. Phys. 110, 779 (1998). 10.1023/A:1022676810365
46. J. Brooke, T. F. Rosenbaum, and G. Aeppli, Nature (London) 413, 610 (2001). 10.1038/35098037
47. W. Wernsdorfer, R. Clerac, C. Coulon, L. Lecren, and H. Miyasaka, Phys. Rev. Lett. 95, 237203 (2005). 10.1103/PhysRevLett.95.237203
48. W. Wu, B. Ellman, T. F. Rosenbaum, G. Aeppli, and D. H. Reich, Phys. Rev. Lett. 67, 2076 (1991) 10.1103/PhysRevLett.67.2076
49. D. Bitko, T. F. Rosenbaum, and G. Aeppli, Phys. Rev. Lett. 77, 940 (1996). 10.1103/PhysRevLett.77.940
50. H. M. Ronnow, R. Parthasarathy, J. Jensen, G. Aeppli, T. F. Rosenbaum, and D. F. McMorrow, Science 308, 389 (2005). 10.1126/science.1108317
51. M. Schechter and P. C. E. Stamp, Phys. Rev. Lett. 95, 267208 (2005). 10.1103/PhysRevLett.95.267208
52. C. Ancona-Torres, D. M. Silevitch, G. Aeppli, and T. F. Rosenbaum, Phys. Rev. Lett. 101, 057201 (2008). 10.1103/PhysRevLett.101.057201
53. P. E. Jönsson, R. Mathieu, W. Wernsdorfer, A. M. Tkachuk, and B. Barbara, Phys. Rev. Lett. 98, 256403 (2007). 10.1103/PhysRevLett.98.256403
54. J. A. Quilliam, S. Meng, C. G. A. Mugford, and J. B. Kycia, Phys. Rev. Lett. 101, 187204 (2008). 10.1103/PhysRevLett.101.187204
55. S. O. Demokritov, V. E. Demidov, O. Dzyapko, G. A. Melkov, A. A. Serga, B. Hillebrands, and A. N. Slavin, Nature (London) 443, 430 (2006). 10.1038/nature05117
56. I. S. Tupitsyn, P. C. E. Stamp, and A. L. Burin, Phys. Rev. Lett. 100, 257202 (2008). 10.1103/PhysRevLett.100.257202
57. N. V. Prokof'ev and P. C. E. Stamp, Rep. Prog. Phys. 63, 669 (2000). 10.1088/0034-4885/63/4/204
58. A. O. Caldeira and A. J. Leggett, Ann. Phys. 149, 374 (1983). 10.1016/0003-4916(83)90202-6
59. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
60. J. F. Fernández, Phys. Rev. B 66, 064423 (2002). 10.1103/PhysRevB.66.064423
61. A. Morello, P. C. E. Stamp, and I. S. Tupitsyn, Phys. Rev. Lett. 97, 207206 (2006). 10.1103/PhysRevLett.97.207206
62. A. Morello, F. L. Mettes, F. Luis, J. F. Fernández, J. Krzystek, G. Aromí, G. Christou, and L. J. de Jongh, Phys. Rev. Lett. 90, 017206 (2003). 10.1103/PhysRevLett.90.017206
63. M. Evangelisti, F. Luis, F. L. Mettes, N. Aliaga, G. Aromí, J. J. Alonso, G. Christou, and L. J. de Jongh, Phys. Rev. Lett. 93, 117202 (2004). 10.1103/PhysRevLett.93.117202
64. E. del Barco, J. M. Hernandez, M. Sales, J. Tejada, H. Rakoto, J. M. Broto, and E. M. Chudnovsky, Phys. Rev. B 60, 11898 (1999). 10.1103/PhysRevB.60. 11898
65. Y. Suzuki, M. P. Sarachik, E. M. Chudnovsky, S. McHugh, R. Gonzalez-Rubio, N. Avraham, Y. Myasoedov, E. Zeldov, H. Shtrikman, N. E. Chakov, and G. Christou, Phys. Rev. Lett. 95, 147201 (2005). 10.1103/PhysRevLett.95. 147201
66. A. Hernández-Mínguez, J. M. Hernandez, F. Macià, A. Garcia-Santiago, J. Tejada, and P. V. Santos, Phys. Rev. Lett. 95, 217205 (2005). 10.1103/PhysRevLett.95.217205
67. B. Wen, P. Subedi, L. Bo, Y. Yeshurun, M. Sarachik, A. Kent, C. Lampropoulos, and G. Christou, Phys. Rev. B 82, 014406 (2010). 10.1103/PhysRevB.82.014406
68. A. J. Millis, A. D. Kent, M. P. Sarachik, and Y. Yeshurun, Phys. Rev. B 81, 024423 (2010). 10.1103/PhysRevB.81.024423
69. K. M. Mertes, Y. Suzuki, M. P. Sarachik, Y. Paltiel, H. Shtrikman, E. Zeldov, E. Rumberger, D. N. Hendrickson, and G. Christou, Phys. Rev. Lett. 87, 227205 (2001). 10.1103/PhysRevLett.87.227205
70. K. Park, M. A. Novotny, N. S. Dalal, S. Hill, and P. A. Rikvold, Phys. Rev. B 65, 14426 (2001). 10.1103/PhysRevB.65.014426
71. A. Cornia, R. Sessoli, L. Sorace, D. Gatteschi, A. L. Barra, and C. Daiguebonne, Phys. Rev. Lett. 89, 257201 (2002). 10.1103/PhysRevLett.89.257201
72. E. del Barco, A. D. Kent, E. M. Rumberger, D. N. Hendrickson, and G. Christou, Phys. Rev. Lett. 91, 047203 (2003). 10.1103/PhysRevLett.91.047203
73. S. Hill, R. S. Edwards, S. I. Jones, N. S. Dalal, and J. M. North, Phys. Rev. Lett. 90, 217204 (2003). 10.1103/PhysRevLett.90.217204
74. S. Takahashi, R. S. Edwards, J. M. North, S. Hill, and N. S. Dalal, Phys. Rev. B 70, 094429 (2004). 10.1103/PhysRevB.70.094429
75. E. del Barco, A. D. Kent, S. Hill, J. M. North, N. S. Dalal, E. M. Rumberger, D. N. Hendrickson, N. Chakov, and G. Christou, J. Low Temp. Phys. 140, 119 (2005). 10.1007/s10909-005-6016-3
76. J. J. Henderson, C. Koo, P. L. Feng, E. del Barco, S. Hill, I. S. Tupitsyn, P. C. E. Stamp, and D. N. Hendrickson, Phys. Rev. Lett. 103, 017202 (2009). 10.1103/PhysRevLett.103.017202
77. C. M. Ramsey, E. del Barco, S. Hill, S. J. Shah, C. C. Beedle, and D. N. Hendrickson, Nat. Phys. 4, 277 (2008). 10.1038/nphys886
78. W. Wernsdorfer, T. C. Stamatatos, and G. Christou, Phys. Rev. Lett. 101, 237204 (2008). 10.1103/PhysRevLett.101.237204
79. W. Wernsdorfer, http://arxiv.org/abs/0804.1246v1-3
80. C. M. Ramsey, E. del Barco, S. Hill, S. J. Shah, C. Beedle, and D. N. Hendrickson, http://arxiv.org/abs/0806.1922v1
81. E. del Barco, S. Hill, and D. N. Hendrickson, Phys. Rev. Lett. 103, 059701 (2009). 10.1103/PhysRevLett.103.059701
82. W. Wernsdorfer, T. C. Stamatatos, and G. Christou, Phys. Rev. Lett. 103, 059702 (2009). 10.1103/PhysRevLett.103.059702
83. S. Bahr, C. J. Milios, L. F. Jones, E. K. Brechin, V. Mosser, and W. Wernsdorfer, Phys. Rev. B 78, 132401 (2008). 10.1103/PhysRevB.78.132401
84. D. Foguet-Albiol, T. A. O'Brien, W. Wernsdorfer, B. Moulton, M. J. Zaworotko, K. A. Abboud, and G. Christou, Angew. Chem., Int. Ed. 44, 897 (2005). 10.1002/anie.200461820
85. J. Liu, S. Datta, S. Hill, K. Heroux, and D. N. Hendrickson (unpublished).
86. E. M. Rumberger, S. J. Shah, C. C. Beedle, L. N. Zakharov, A. L. Rheingold, and D. N. Hendrickson, Inorg. Chem. 44, 2742 (2005). 10.1021/ic048316l
87. S. J. Shah, C. M. Ramsey, K. J. Heroux, A. G. DiPasquale, N. S. Dalal, A. L. Rheingold, E. del Barco, and D. N. Hendrickson, Inorg. Chem. 47, 9569 (2008). 10.1021/ic801374u
88. M. Imada, A. Fujimori, and Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998). 10.1103/RevModPhys.70.1039
89. I. E. Dzyaloshinsky, J. Phys. Chem. Solids 4, 241 (1958). 10.1016/0022-3697(58)90076-3
90. T. Moriya, Phys. Rev. Lett. 4, 228 (1960) 10.1103/PhysRevLett.4.228
91. T. Moriya, Phys. Rev. 120, 91 (1960). 10.1103/PhysRev.120.91
92. L. Shekhtman, O. Entin-Wohlman, and A. Aharony, Phys. Rev. Lett. 69, 836 (1992). 10.1103/PhysRevLett.69.836
93. T. Yildirim, A. B. Harris, O. Entin-Wohlman, and A. Aharony, Phys. Rev. Lett. 73, 2919 (1994) 10.1103/PhysRevLett.73.2919
94. T. Yildirim, A. B. Harris, A. Aharony, and O. Entin-Wohlman, Phys. Rev. B 52, 10239 (1995). 10.1103/PhysRevB.52.10239
95. N. E. Bonesteel, Phys. Rev. B 47, 11302 (1993). 10.1103/PhysRevB.47.11302
96. J. Cano, R. Costa, S. Alvarez, and E. Ruiz, J. Chem. Theory Comput. 3, 782 (2007). 10.1021/ct700013g
97. C. Cao, S. Hill, and H.-P. Cheng, Phys. Rev. Lett. 100, 167206 (2008). 10.1103/PhysRevLett.100.167206
98. A. Bencini and D. Gatteschi, EPR of Exchange Coupled Systems (Springer, Berlin, 1990).
99. Y. Furukawa, K. Watanabe, K. Kumagai, F. Borsa, and D. Gatteschi, Phys. Rev. B 64, 104401 (2001) 10.1103/PhysRevB.64.104401
100. T. Kubo, T. Goto, T. Koshiba, K. Takeda, and K. Awaga, Phys. Rev. B 65, 224425 (2002). 10.1103/PhysRevB.65.224425
101. A. Morello, O. N. Bakharev, H. B. Brom, R. Sessoli, and L. J. deJongh, Phys. Rev. Lett. 93, 197202 (2004) 10.1103/PhysRevLett.93.197202
102. A. Morello and L. J. de Jongh, Phys. Rev. B 76, 184425 (2007). 10.1103/PhysRevB.76.184425
103. E. D. Jones and K. D. Jefferts, Phys. Rev. 135, A1277 (1964) 10.1103/PhysRev.135.A1277
104. C. Evora and V. Jaccarino, Phys. Rev. Lett. 39, 1554 (1977). 10.1103/PhysRevLett.39.1554
105. I. S. Tupitsyn, P. C. E. Stamp, and N. V. Prokof'ev, Phys. Rev. B 69, 132406 (2004). 10.1103/PhysRevB.69.132406
106. L. D. Landau, Phys. Z. Sowjetunion 2, 46 (1932)
107. C. Zener, Proc. R. Soc. London A137, 696 (1932)
108. E. C. G. Stückelberg, Helv. Phys. Acta 5, 369 (1932).
109. S. Miyashita, J. Phys. Soc. Jpn. 64, 3207 (1995). 10.1143/JPSJ.64.3207
110. N. V. Prokof'ev and P. C. E. Stamp, J. Low Temp. Phys. 113, 1147 (1998). 10.1023/A:1022597526953
111. M. Elhajal, B. Canals, and C. Lacroix, Phys. Rev. B 66, 014422 (2002). 10.1103/PhysRevB.66.014422
112. A. Wilson, J. Lawrence, E.-C. Yang, M. Nakano, D. N. Hendrickson, and S. Hill, Phys. Rev. B 74, 140403 (R) (2006). 10.1103/PhysRevB.74.140403
113. S. Datta, O. Waldmann, A. D. Kent, V. A. Milway, L. K. Thompson, and S. Hill, Phys. Rev. B 76, 052407 (2007). 10.1103/PhysRevB.76.052407
114. S. Hill, S. Datta, J. Liu, R. Inglis, C. J. Milios, P. L. Feng, J. J. Henderson, E. del Barco, E. K. Brechin, and D. N. Hendrickson, Dalton Trans. 39, 4693 (2010). 10.1039/c002750b
115. S. E. Sebastian, P. Tanedo, P. A. Goddard, S.-C. Lee, A. Wilson, S. Kim, S. Cox, R. D. McDonald, S. Hill, N. Harrison, C. D. Batista, and I. R. Fisher, Phys. Rev. B 74, 180401 (R) (2006). 10.1103/PhysRevB.74.180401
116. S. Bertaina, S. Gambarelli, T. Mitra, B. Tsukerblat, A. Muller, and B. Barbara, Nature (London) 453, 203 (2008). 10.1038/nature06962