Phases of anisotropic dipolar antiferromagnets: Mean field theory and Monte Carlo simulations

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 2, 2006, Pages

  Fernández, Julio F ^a   Alonso, Juan J ^b  

^a CSIC   (Spain)

^b UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33144473055     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.024412     Document Type: Article

References (51)

1. G. Ahlers, A. Kornblit, and H. J. Guggenheim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.34.1227 34, 1227 (1975);
2. G. Mennenga, L. J. de Jongh, and W. J. Huiskamp, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/0304-8853(84)90047-7 44, 59 (1984);
3. M. R. Roser and L. R. Corruccini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1064 65, 1064 (1990);
4. S. J. White, M. R. Roser, J. Xu, J. T. van der Noordaa, and L. R. Corruccini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.3553 71, 3553 (1993);
5. D. Bitko, T. F. Rosenbaum, and G. Aeppli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.940 77, 940 (1996).
6. See, for instance, D. Gatteschi and R. Sessoli, in Magnetism: Molecules to Materials, edited by, J. S. Miller, and, M. Drillon, (Wiley-VCH, Weinheim, 2002), Vol. III, Chap..
7. Quantum Tunneling of the Magnetisation, edited by, L. Gunther, and, B. Barbara, (Kluwer, Dordrecht, 1995).
8. E. M. Chudnovsky and J. Tejada, Macroscopic Quantum Tunneling of the Magnetic Moment (Cambridge University Press, Cambridge, 1998).
9. J. F. Fernández, in Modeling of Complex Systems, edited by, P. L. Garrido, and, J. Marro, (American Institute of Physics, Melville, NY, 2003), pp. 242-247.
10. D. Gatteschi, R. Sessoli, and J. Villain, Molecular Nanomagnets (Oxford University Press, Oxford, 2006).
11. Exchange interactions can nevertheless be appreciable in some cases; see, for instance, W. Wernsdorfer, N. Aliaga-Alcalde, D. N. Hendrickson, and G. Christou, Nature (London) NATUAS 0028-0836 10.1038/416406a 416, 406 (2002);
12. R. Tiron, W. Wernsdorfer, N. Aliaga-Alcalde, and G. Christou, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.140407 68, 140407 (R) (2003);
13. S. Hill, R. S. Edwards, N. Aliaga-Alcalde, and G. Christou, Science SCIEAS 0036-8075 10.1126/science.1090082 302, 1015 (2003);
14. W. Wernsdorfer, S. Bhaduri, A. Vinslava, and G. Christou (unpublished).
15. M. Affronte, J. C. Lasjaunias, W. Wernsdorfer, R. Sessoli, D. Gatteschi, S. L. Heath, A. Fort, and A. Rettori, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.064408 66, 064408 (2002).
16. A. Morello, F. L. Mettes, F. Luis, J. F. Fernández, J. Krzystek, G. Aromí, G. Christou, and L. J. de Jongh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.017206 90, 017206 (2003).
17. A. Morello, F. L. Mettes, O. N. Bakharev, H. B. Brom, L. J. de Jongh, F. Luis, J. F. Fernández, and G. Aromí, Phys. Rev. B PRBMDO 0163-1829 (to be published).
18. M. Evangelisti, F. Luis, F. L. Mettes, N. Aliaga, G. Aromí, J. J. Alonso, G. Christou, and L. J. de Jongh, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.117202 93, 117202 (2004).
19. F. Luis, J. Campo, J. Gómez, G. J. McIntyre, J. Luzón, and D. Ruiz-Molina, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.227202 95, 227202 (2005).
20. J. F. Fernández, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.064423 66, 064423 (2002).
21. J. Luttinger and L. Tisza, Phys. Rev. PHRVAO 0031-899X 72, 257 (1947);
22. see also Th. Niemeijer and H. W. J. Blötte, Physica (Amsterdam) PHYSAG 0031-8914 10.1016/0031-8914(73)90027-X 67, 125 (1973);
23. S. K. Misra and J. Felsteiner, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.15.4309 15, 4309 (1977).
24. J. F. Fernández and J. J. Alonso, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.53 62, 53 (2000);
25. J. F. Fernández and J. J. Alonso, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.189901 65, 189901 (E) (2002);
26. for a treatment of magnetic order in Fe8 crystals, see also X. Martínez-Hidalgo, E. M. Chudnovsky, and A. Aharony, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2001-00331-2 55, 273 (2001).
27. E. M. Gyorgy, J. P. Remeika, and F. B. Hagedorn, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1656308 39, 1369 (1968).
28. For a nice early view of the subject, see W. P. White, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1657530 40, 1061 (1969).
29. See for instance, R. Allenspach and A. Bischof, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.3385 69, 3385 (1992);
30. A. Berger and H. Hopster, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.519 76, 519 (1996).
31. H. P. Oepen, M. Speckmann, Y. Millev, and J. Kirschner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.2752 55, 2752 (1997).
32. For treatments of a first-order SR transition, assuming no higher anisotropies beyond the uniaxial one, see: (i) for renormalization group calculations, D. Pescia and V. L. Pokrovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.2599 65, 2599 (1990);
33. D. Pescia and V. L. Pokrovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1185 70, 1185 (1993);
34. A. P. Levanyuk and N. García, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1184 70, 1184 (1993);
35. (ii) for MC simulations, C. Santamaria and H. T. Diep, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/S0304-8853(99)00795-7 212, 23 (2000);
36. (iii) for a mean field calculation (in which C=0), L. Udvardiyz, L. Szunyoghyz, A. Vernesz, and P. Weinbergerz, Philos. Mag. B PMABDJ 1364-2812 10.1080/13642810110049974 81, 613 (2001).
37. For reviews of effects of dipole-dipole interactions on the phases of thin films, see K. De'Bell, A. B. MacIsaac, and J. P. Whitehead, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.72.225 72, 225 (2000);
38. J. J. Weis, J. Phys.: Condens. Matter JCOMEL 0953-8984 15, 1471 (2003).
39. A. M. Abu-Labdeh, J. P. Whitehead, K. De'Bell, and A. B. MacIsaac, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.024434 65, 024434 (2002);
40. A. M. Abu-Labdeh, J. P. Whitehead, K. De'Bell, and A. B. MacIsaac, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.144416 70, 144416 (2004).
41. L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd ed. (Pergamon, Oxford, 2004), pp. 159-162. The "angular phase" is how Landau and Lifshitz refer to the SR phase.
42. H. Horner and C. M. Varma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.20.845 20, 845 (1968);
43. F. B. Hagedorn and E. M. Gyorgy, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.174.540 174, 540 (1968).
44. See Bitko,, in Ref.;
45. P. B. Chakraborty, P. Henelius, H. Kjonsberg, A. W. Sandvi, and S. M. Girvi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.144411 70, 144411 (2004).
46. N. A. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1699114 21, 1087 (1953).
47. R. B. Griffiths, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.176.655 176, 655 (1968).
48. Invariance of Ed with respect to rotations in the canted state has been pointed out for the special case of θ=π2, by K. De'Bell, A. B. MacIsaac, I. N. Booth, and J. P. Whitehead, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.15108 55, 15108 (1997).
49. A. B. MacIsaac, J. P. Whitehead, K. De'Bell, and P. H. Poole, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.739 77, 739 (1996).
50. A thermally induced quadrupolar anisotropy that comes from dipolar interactions has been predicted for films in K. De'Bell, A. B. MacIsaac, I. N. Booth, and J. P. Whitehead, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55. 15108 55, 15108 (1997);
51. J.-C. S. Lévy, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63. 104409 63, 104409 (2001).