Variational method study of the spin-1 Ising model with biaxial crystal-field anisotropy
| dc.creator | de Sousa, J. Ricardo | |
| dc.creator | Branco, N. S. | |
| dc.date | 2008-03-06 | |
| dc.date.accessioned | 2026-07-07T09:25:16Z | |
| dc.date.available | 2026-07-07T09:25:16Z | |
| dc.description | The phase diagram of the spin-1 Ising model in the presence of a biaxial crystal-field anisotropy is studied within the framework of a variational approach, based on the Bogolyubov inequality for the free energy. We have investigated the effects of a transverse crystal-field $D_{y}$ on the phase diagram in the $T-D_{x}$ plane. Results obtained by using effective-field theory (EFT) on the honeycomb (% $z=3$), square ($z=4$) and simple cubic ($z=6$) lattices ($z$ is the coordination number) show only continuous phase transitions, while the variational approach presents first-order and continuous phase transitions for $D_{y}=0$% . We have also used the EFT for larger values of $z$ and we observe the presence of tricritical points in the phase diagrams, for $z\geq 7$, in accordance with the variational approach results. | |
| dc.description | 4 pages, 2 figures, published in Phys. Rev. E, vol. 77, 012104 (2998) | |
| dc.identifier | https://arxiv.org/abs/0803.0934 | |
| dc.identifier | http://arxiv.org/abs/0803.0934 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156347 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Variational method study of the spin-1 Ising model with biaxial crystal-field anisotropy | |
| dc.type | text |