| Numéro |
J. Phys. I France
Volume 3, Numéro 12, December 1993
|
|
|---|---|---|
| Page(s) | 2397 - 2409 | |
| DOI | https://doi.org/10.1051/jp1:1993252 | |
J. Phys. I France 3 (1993) 2397-2409
Phase diagrams of antiferromagnetic Z( q) models
A. Benyoussef1, L. Laanaït2 and M. Loulidi11 Laboratoire de Magnétisme et de Physique des Hautes Energies, Faculté des Sciences de Rabat, B.P. 1014, Morocco
2 Ecole Normale Supérieure, B.P. 5118, Rabat, Morocco
(Received 25 May 1993, accepted in final form 19 August 1993)
Abstract
The phase diagrams of general
q-state antiferromagnetic Z(
q) models are studied for different values of
q within a real space renormalization-group scheme for a
d-dimensional hypercubic lattice. The model exhibits a rich variety of phase diagrams for even values of
q. The odd values of
q give no phase transition for bidimensional lattices except at temperature
T = 0. Nevertheless, an antiferromagnetic order appears at low temperature for
. Between phase transitions between antiferromagnetic phases and the disordered phase, the model undergoes a phase transition
between antiferromagnetic phases and ferromagnetic phase for
q > 5.
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