The spin-3/2 Blume–Emery–Griffiths model is solved on the Bethe lattice in the absence and presence of the external field using the iteration technique (recursion method). The phase diagrams are obtained for the coordination number q = 3, 4, 6 and 8. We confirm the existence of a staggered quadrupolar phase in addition to a ferrimagnetic and ferromagnetic ordered phases and analyze the occurence of re-entrant boundaries inside the ordered region as a character of the coordination of the lattice. A comparison is made with the results of other approximate methods. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

References

[1] M. Blume, V. J. Emery, and R. B. Griffiths, Phys. Rev. A 4, 1071 (1971).
10.1103/PhysRevA.4.1071
Web of Science® Google Scholar
[2] F. Y. Wu, Phys. Lett. A 116, 245 (1986).
10.1016/0375-9601(86)90142-8
Web of Science® Google Scholar
[3] X. N. Wu and F. Y. Wu, J. Stat. Phys. 50, 41 (1988).
10.1007/BF01022986
Google Scholar
[4] W. Hoston and A. N. Berker, Phys. Rev. Lett. 67, 1027 (1991).
10.1103/PhysRevLett.67.1027
CAS PubMed Web of Science® Google Scholar
[5] C. Ekiz and M. Keskin, Phys. Rev. B 66, 54105 (2002).
10.1103/PhysRevB.66.054105
CAS Web of Science® Google Scholar
[6] A. H. Cooke, D. M. Martin, and M. R. Wells, Solid State Commun. 9, 519 (1971).
10.1016/0038-1098(71)90137-2
CAS Web of Science® Google Scholar
[7] A. H. Cooke, D. M. Martin, and M. R. Wells, J. Phys. (Paris) C1, 488 (1971).
Google Scholar
[8] F. Sayetat, J. X. Boucherle, M. Belakhovsky, A. Kallel, F. Tcheou, and H. Fuess, Phys. Lett. A 35, 361 (1971).
10.1016/0375-9601(71)90914-5
Web of Science® Google Scholar
[9] J. Sivardière and M. Blume, Phys. Rev. B 5, 1126 (1972).
10.1103/PhysRevB.5.1126
Web of Science® Google Scholar
[10] S. Krinsky and D. Mukamel, Phys. Rev. B 11, 399 (1975).
10.1103/PhysRevB.11.399
CAS Web of Science® Google Scholar
[11] F. C. Sa Barreto and O. F. De Alcantara Bonfim, Physica A 172, 378 (1991).
10.1016/0378-4371(91)90390-X
Web of Science® Google Scholar
[12] A. Bakchich, A. Bassir, and A. Benyoussef, Physica A 195, 188 (1993).
10.1016/0378-4371(93)90262-3
Web of Science® Google Scholar
[13] A. Bakkali, M. Kerouad, and M. Saber, Physica A 229, 563 (1996).
10.1016/0378-4371(96)00035-0
CAS Web of Science® Google Scholar
[14] T. Kaneyoshi and M. Jascur, Phys. Lett. A 177, 171 (1993).
10.1016/0375-9601(93)90530-D
Web of Science® Google Scholar
[15] T. Horuguchi and Y. Honda, Prog. Theor. Phys. 93, 981 (1995).
Web of Science® Google Scholar
[16] T. Horuguchi, A. Lipowski, and A. Tsushima, Physica A 224, 626 (1996).
10.1016/0378-4371(95)00304-5
Web of Science® Google Scholar
[17] N. S. Izmailian, JETP Lett. 63, 290 (1996).
10.1134/1.567018
Web of Science® Google Scholar
[18] S. Katsura and M. Takizawa, Prog. Theor. Phys. 51, 82 (1974).
10.1143/PTP.51.82
Web of Science® Google Scholar
[19] M. N. Tamashiro and S. R. A. Salinas, Physica A 211, 124 (1994).
10.1016/0378-4371(94)90073-6
Web of Science® Google Scholar
[20] T. Hikihara, M. Kaburagi, and H. Kawamura, Phys. Rev. B 63, 174430-1 (2001).
Google Scholar
[21] A. Bakkali, M. Kerouad, and M. Saber, Physica A 229, 563 (1996).
10.1016/0378-4371(96)00035-0
CAS Web of Science® Google Scholar
[22] N. Tsushima, Y. Honda, and T. Horuguchi, J. Phys. Soc. Jpn. 66, 3053 (1997).
10.1143/JPSJ.66.3053
CAS Web of Science® Google Scholar
[23] N. Tsushima, T. Horuguchi, J. Phys. Soc. Jpn. 67, 1574 (1998).
10.1143/JPSJ.67.1574
CAS Web of Science® Google Scholar
[24] J. W. Tucker, J. Magn. Magn. Mater. 214, 121 (2000).
10.1016/S0304-8853(00)00038-X
CAS Web of Science® Google Scholar
[25] A. Bakchich and M. El Bouziani, J. Phys: Condens. Matter 13, 91 (2001).
10.1088/0953-8984/13/1/309
CAS Web of Science® Google Scholar
[26] E. Albayrak and M. Keskin, J. Magn. Magn. Mater. 241, 249 (2002).
10.1016/S0304-8853(01)01388-9
CAS Web of Science® Google Scholar
[27] C. Ekiz, E. Albayrak, and M. Keskin, J. Magn. Magn. Mater. 256, 311 (2003).
10.1016/S0304-8853(02)00589-9
CAS Web of Science® Google Scholar
[28] H. A. Bethe, Proc. Roy. Soc. A 150, 552 (1935).
10.1098/rspa.1935.0122
CAS Google Scholar
[29] R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press Inc., New York, 1982).
Google Scholar
[30] A. Z. Akheyan and N. S. Ananikian, J. Phys. A: Math. Gen. 29, 721 (1996).
10.1088/0305-4470/29/4/004
CAS Web of Science® Google Scholar
[31] H. G. Schuster, Deterministic Chaos (Physik-Verlag, Weinheim, 1984).
Google Scholar

Citing Literature

Volume241, Issue6

May 2004

Pages 1324-1332

The spin-3/2 Blume–Emery–Griffiths model with repulsive biquadratic coupling in an external field

Abstract

References

Citing Literature

References

Information

About Wiley Online Library

Help & Support

Opportunities

Connect with Wiley

The spin-3/2 Blume–Emery–Griffiths model with repulsive biquadratic coupling in an external field

Abstract

References

Citing Literature

References

Related

Information