Collapse of the EPR fine structure of a one-dimensional array of weakly interacting binuclear units: A dimensional quantum phase transition

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 10, 2011, Pages

  Calvo, Rafael ^a   Abud, Julián E ^a   Sartoris, Rosana P ^a   Santana, Ricardo C ^b  

^a UNIVERSIDAD NACIONAL DEL LITORAL   (Argentina)

^b FEDERAL UNIVERSITY OF GOIÁS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80053603714     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.104433     Document Type: Article

References (99)

1. B. Bleaney, and K. D. Bowers, Proc. R. Soc. London A PRLAAZ 1364-5021 10.1098/rspa.1952.0181 214, 451 (1952).
2. B. C. Guha, Proc. R. Soc. London A PRLAAZ 1364-5021 10.1098/rspa.1951. 0075 206, 353 (1951).
3. O. Kahn, Angew. Chem. Int. Ed. 0570-0833 10.1002/anie.198508341 24, 834 (1985).
4. A. Bencini and D. Gatteschi, Electron Paramagnetic Resonance of Exchange Coupled Systems (Springer-Verlag, Berlin, 1990).
5. J. R. Pilbrow, Transition Ion Electron Paramagnetic Resonance (Clarendon Press, Oxford, 1990).
6. O. Kahn, Molecular Magnetism (VCH, New York, 1993).
7. N. M. Atherton, Principles of Electron Spin Resonance (Ellis Horwood: PTR Prentice Hall, New York, 1993).
8. J. A. Weil and J. R. Bolton, Electron Paramagnetic Resonance: Elementary Theory and Practical Applications (Wiley-Interscience, New York, 2007).
9. T. Giamarchi, C. Rüegg and O. Tchernyshyov, Nature Physics 1745-2473 10.1038/nphys893 4, 198 (2008).
10. W. H. Armstrong, and S. J. Lippard, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja00352a053 105, 4837 (1983);
11. R. Baggio, R. Calvo, M. T. Garland, O. Peña, M. Perec, and A. Rizzi, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic0510056 44, 8979 (2005); (Pubitemid 41780007)
12. B. Barja, R. Baggio, R. Calvo, M. T. Garland, M. Perec, and A. Rizzi, Inorg. Chim. Acta, 0020-1693 10.1016/j.ica.2006.04.046 359, 3921 (2006).
13. I. S. Camara, R. Gautier, E. Le Fur, J.-C. Trombe, J. Galy, A. M. Ghorayeb, and A. Stepanov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81. 184433 81, 184433 (2010).
14. R. Calvo, R. E. Rapp, E. Chagas, R. P. Sartoris, R. Baggio, M. T. Garland, and M. Perec, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic8014089 47, 10389 (2008).
15. K. P. Schmidt, and G. S. Uhrig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227204 90, 227204 (2003).
16. A. W. Overhauser, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.101.1702 101, 1702 (1956).
17. H. Sternlicht, and H. M. McConnell, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1732146 35, 1793 (1961);
18. H. M. McConnell and R. M. Lynden-Bell, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1732895 36, 2393 (1962).
19. R. M. Lynden-Bell, and H. M. McConnell, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1733162 37, 794 (1962).
20. P. L. Nordio, Z. G. Soos, and H. M. McConnell, Ann. Rev. Phys. Chem. 0066-426X 10.1146/annurev.pc.17.100166.001321 17, 237 (1966).
21. S. Sachdev, and R. N. Bhatt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.41.9323 41, 9323 (1990).
22. T. Giamarchi, and A. M. Tsvelik, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.11398 59, 11398 (1999).
23. B. Kumar, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.054404 82, 054404 (2010).
24. M. Matsumoto, B. Normand, T. M. Rice, and M. Sigrist, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.077203 89, 077203 (2002);
25. M. Matsumoto, B. Normand, T. M. Rice, and M. Sigrist, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.054423 69, 054423 (2004).
26. M. Matsumoto, T. Shoji, and M. Koga, J. Phys. Soc. Jpn. 0031-9015 10.1143/JPSJ.77.074712 77, 074712 (2008);
27. A. A. Aczel, Y. Kohama, C. Marcenat, F. Weickert, M. Jaime, O. E. Ayala-Valenzuela, R. D. McDonald, S. D. Selesnik, H. A. Dabkowska, and G. M. Luke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.207203 103, 207203 (2009).
28. S. Sachdev, Nature Physics 1745-2473 10.1038/nphys894 4, 173 (2008).
29. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 2001).
30. A. Oosawa, M. Ishii, and H. Tanaka, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/1/021 11, 265 (1999).
31. T. Nikuni, M. Oshikawa, A. Oosawa, and H. Tanaka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5868 84, 5868 (2000).
32. T. M. Rice, Science SCIEAS 0036-8075 10.1126/science.1078819 298, 760 (2002). (Pubitemid 35231514)
33. E. Ruiz, S. Alvarez, A. Rodríguez-Fortea, P. Alemany, Y. Pouillon, and C. Massobrio, in Magnetism: Molecules to Materials II. Molecule based materials, edited by, J. S. Miller, and, M. Drillon, (Wiley-VCH, Weinheim, 2001), p. 227.
34. N. Cavadini, G. Heigold, W. Henggeler, A. Furrer, H.-U. Güdel, K. Krämer, and H. Mutka, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.63. 172414 63, 172414 (2001).
35. A. Oosawa, M. Fujisawa, T. Osakabe, K. Kakurai, and H. Tanaka, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.72.1026 72, 1026 (2003);
36. C. Rüegg, Nature 0028-0836 10.1038/nature01617 423, 62 (2003); (Pubitemid 36575442)
37. C. Rüegg, A. Furrer, D. Sheptyakov, T. Strässle, K. W. Krämer, H.-U. Güdel, and L. Mélési, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.257201 93, 257201 (2004); (Pubitemid 40141853)
38. C. Rüegg, B. Normand, M. Matsumoto, C. Niedermayer, A. Furrer, K. W. Krämer, H.-U. Güdel, P. Bourges, Y. Sidis, and H. Mutka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.267201 95, 267201 (2005); (Pubitemid 43065262)
39. C. Rüegg, B. Normand, M. Matsumoto, A. Furrer, D. F. McMorrow, K. W. Krämer, H.-U. Güdel, S. N. Gvasaliya, H. Mutka, and M. Boehm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.205701 100, 205701 (2008). (Pubitemid 351725963)
40. M. Jaime, V. F. Correa, N. Harrison, C. D. Batista, N. Kawashima, Y. Kazuma, G. A. Jorge, R. Stern, I. Heinmaa, S. A. Zvyagin, Y. Sasago, and K. Uchinokura, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.087203 93, 087203 (2004);
41. S. E. Sebastian, D. Yin, P. Tanedo, G. A. Jorge, N. Harrison, M. Jaime, Y. Mozharivskyj, G. Miller, J. Krzystek, S. A. Zvyagin, and I. R. Fisher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.212405 71, 212405 (2005); (Pubitemid 41703038)
42. N. Harrison, S. E. Sebastian, C. D. Batista, M. Jaime, L. Balicas, P. A. Sharma, N. Kawashima, and I. R. Fisher, J. Phys. Conf. Series 1742-6588 10.1088/1742-6596/51/1/002 51, 9 (2006).
43. S. E. Sebastian, P. A. Sharma, M. Jaime, N. Harrison, V. Correa, L. Balicas, N. Kawashima, C. D. Batista, and I. R. Fisher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.100404 72, 100404 (2005). (Pubitemid 43022373)
44. S. E. Sebastian, N. Harrison, C. D. Batista, L. Balicas, M. Jaime, P. A. Sharma, N. Kawashima, and I. R. Fisher, Nature 0028-0836 10.1038/nature04732 441, 617 (2006). (Pubitemid 43932889)
45. 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 PRBMDO 1098-0121 10.1103/PhysRevB.74.180401 74, 180401 (2006). (Pubitemid 44684385)
46. S. A. Zvyagin, J. Wosnitza, J. Krzystek, R. Stern, M. Jaime, Y. Sasago, and K. Uchinokura, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.094446 73, 094446 (2006). (Pubitemid 43494177)
47. C. J. Gorter and J. H. VanVleck, Phys. Rev. 0031-899X 10.1103/PhysRev.72.1128.2 72, 1128 (1947).
48. J. H. Van Vleck, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.74.1168 74, 1168 (1948).
49. P. W. Anderson, and P. R. Weiss, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.25.269 25, 269 (1953).
50. P. W. Anderson, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.9.316 9, 316 (1954).
51. R. Kubo and K. Tomita, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.9.888 9, 888 (1954).
52. R. Kubo, in Stochastic Processes in Chemical Physics, Advances in Chemical Physics, edited by, K. E. Schuler, (Wiley, New York, 1969), Vol. XV, p. 101 \.
53. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II. Nonequilibrium Statistical Mechanics (Springer, Berlin, 1978).
54. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1492 109, 1492 (1958);
55. N. V. Prokof'ev and P. C. E. Stamp, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/63/4/204 63, 669 (2000).
56. D. M. Martino, M. C. G. Passeggi, and R. Calvo, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.52.9466 52, 9466 (1995);
57. D. M. Martino, M. C. G. Passeggi, R. Calvo, and O. R. Nascimento, Physica B 0921-4526 10.1016/0921-4526(96)00231-1 225, 63 (1996).
58. A. J. Costa-Filho, C. E. Munte, C. Barberato, E. E. Castellano, M. P. D. Mattioli, R. Calvo, and O. R. Nascimento, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic990245g 38, 4413 (1999);
59. A. J. Costa-Filho, O. R. Nascimento, L. Ghivelder, and R. Calvo, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp0045742 105, 5039 (2001); (Pubitemid 35375170)
60. A. J. Costa-Filho, O. R. Nascimento, and R. Calvo, J. Phys. Chem. B 1520-6106 10.1021/jp037271r 108, 9549 (2004);
61. R. C. Santana, R. O. Cunha, J. F. Carvalho, I. Vencato, and R. Calvo, J. Inorg. Biochem. 0162-0134 10.1016/j.jinorgbio.2004.10.014 99, 415 (2005); (Pubitemid 40044743)
62. E. F. Chagas, R. E. Rapp, D. E. Rodrigues, N. M. C. Casado, and R. Calvo, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp056838w 110, 8052 (2006);
63. E. D. Vieira, N. M. C. Casado, G. Facchin, M. H. Torre, A. J. Costa-Filho, and R. Calvo, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic051957b 45, 2942 (2006);
64. E. D. Vieira, G. Facchin, M. H. Torre, and A. J. Costa-Filho, J. Braz. Chem. Soc. 0103-5053 10.1590/S0103-50532008000800023 19, 1614 (2008).
65. R. Calvo, Appl. Magn. Reson. APMREI 0937-9347 10.1007/BF03166261 31, 271 (2007).
66. H. M. Pastawski, Physica B 0921-4526 10.1016/j.physb.2007.05.024 398, 278 (2007); (Pubitemid 47069907)
67. A. D. Dente, R. A. Bustos-Marún, and H. M. Pastawski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.062116 78, 062116 (2008).
68. R. Calvo, E. C. Abresch, R. Bittl, G. Feher, W. Hofbauer, R. A. Isaacson, W. Lubitz, M. Y. Okamura, and M. L. Paddock, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja000399r 122, 7327 (2000); (Pubitemid 30636721)
69. R. Calvo, R. A. Isaacson, M. L. Paddock, E. C. Abresch, M. Y. Okamura, A. L. Maniero, L. C. Brunel, and G. Feher, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp0102670 105, 4053 (2001). (Pubitemid 35381534)
70. W. Wernsdorfer, N. Aliaga-Alcalde, D. N. Hendrickson, and G. Christou, Nature 0028-0836 10.1038/416406a 416, 406 (2002); (Pubitemid 34272870)
71. W. Wernsdorfer, S. Bhaduri, R. Tiron, D. N. Hendrickson, and G. Christou, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.197201 89, 197201 (2002).
72. E. Wasserman, L. C. Snyder, and W. A. Yager, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1726156 41, 1763 (1964).
73. J. R. Wasson, C.-I. Shyr, and C. Trapp, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic50061a017 7, 469 (1968).
74. J. S. Valentine, A. J. Siverstein, and Z. G. Soos, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja00808a016 96, 97 (1974).
75. L. M. B. Napolitano, O. R. Nascimento, S. Cabaleiro, J. Castro, and R. Calvo, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.214423 77, 214423 (2008).
76. M. Perec, R. Baggio, R. P. Sartoris, R. C. Santana, O. Peña, and R. Calvo, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic902005m 49, 695 (2010).
77. N. I. Neuman, M. Perec, P. J. Gonzalez, M. C. G. Passeggi, A. C. Rizzi, and C. D. Brondino, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp108736p 114, 13069 (2010).
78. O. R. Nascimento, L. M. B. Napolitano, M. H. Torre, O. Peña, and R. Calvo, J. Braz. Chem. Soc. 0103-5053 10.1590/S0103-50532011000400009 22, 669 (2011).
79. T. Tokii, N. Watanabe, M. Nakashima, Y. Muto, M. Morooka, S. Ohba, and I. Saito, Bull. Chem. Soc. Jpn. BCSJA8 0009-2673 10.1246/bcsj.63.364 63, 364 (1990). (Pubitemid 20277191)
80. A. M. Gennaro, P. R. Levstein, C. A. Steren, and R. Calvo, Chem. Phys. CMPHC2 0301-0104 10.1016/0301-0104(87)85090-5 111, 431 (1987);
81. C. D. Brondino, N. M. C. Casado, M. C. G. Passeggi, and R. Calvo, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic00062a033 32, 2078 (1993).
82. S. Stoll and A. Schweiger, J. Magn. Reson. JOMRA4 1090-7807 10.1016/j.jmr.2005.08.013 178, 42 (2006). (Pubitemid 41774010)
83. MatLab, The MathWorks, Inc. (Natick, MA, 2002).
84. Y. Servant, J. C. Bissey, and M. Maini, Physica B 0378-4363 10.1016/0378-4363(81)90063-2 106, 343 (1981);
85. R. Calvo, M. A. Mesa, G. Oliva, J. Zukerman-Schpector, O. R. Nascimento, M. Tovar, and R. Arce, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.447389 81, 4584 (1984);
86. R. Calvo, P. R. Levstein, E. E. Castellano, S. M. Fabiane, O. E. Piro, and S. B. Oseroff, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic00002a015 30, 216 (1991).
87. A. Ozarowski, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic801560e 47, 9760 (2008).
88. N. D. Chasteen, Inorg. Chem. INOCAJ 0020-1669 10.1021/ic50104a055 10, 2339 (1971);
89. B. Kozlevĉar, I. Leban, M. Petriĉ, S. Petriĉek, O. Roubeau, J. Reedijk, and P. Å egedin, Inorg. Chim. Acta 0020-1693 10.1016/j.ica.2004.06.012 357, 4220 (2004);
90. J. Lopes de Miranda, J. Felcman, M. H. Herbst, and N. V. Vugman, Inorg. Chem. Comm. 1387-7003 10.1016/j.inoche.2008.02.021 11, 655 (2008).
91. M. C. G. Passeggi, and R. Calvo, J. Magn. Reson. Ser. A 1064-1858 10.1006/jmra.1995.1099 114, 1 (1995).
92. F. Carboni, and P. M. Richards, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.177.889 177, 889 (1969);
93. R. Calvo and M. C. G. Passeggi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.44.5111 44, 5111 (1991).
94. R. Calvo, H. Isern, and M. A. Mesa, Chem. Phys. CMPHC2 0301-0104 10.1016/0301-0104(85)87026-9 100, 89 (1985).
95. Z. G. Soos, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1726930 44, 1729 (1966).
96. S. A. Zvyagin, J. Wosnitza, J. Krzystek, R. Stern, M. Jaime, Y. Sasago, and K. Uchinokura, J. Magn. Magn. Mater 0304-8853 10.1016/j.jmmm.2006.10.323 310, 1206 (2007).
97. J.-M. Lehn, Supramolecular Chemistry. Concepts and perspectives (VCH, Weinheim, 1995).
98. S. Grimme, Angew. Chem. Int. Ed. 1433-7851 10.1002/anie.200705157 47, 3430 (2008).
99. C. D. Brondino, R. Calvo, A. M. Atria, E. Spodine, and O. Peña, Inorg. Chim. Acta 0020-1693 10.1016/0020-1693(94)04175-U 228, 261 (1995).