Author(s)

Mohamed El Bouziani^1*, Mohamed Madani^1,2, Abou Gaye¹, Abdelhameed Alrajhi¹

¹Laboratoire L.P.M.C., Equipe de Physique théorique, Faculté des Sciences, Université Chouaib Doukkali, El Jadida, Maroc.
¹Laboratoire L.P.M.C., Equipe de Physique théorique, Faculté des Sciences, UniversitéChouaib Doukkali, El Jadida, Maroc.
²Département de Physique-Chimie, CRMEF El Jadida-Safi, Safi, Maroc.

We study the mixed spin-1 and spin-3/2 Blume-Capel model under crystal field in the tridimensional semi-infinite case. This has been done by using the real-space renormalization group approximation and specifically the Migdal-Kadanoff technique. As a function of the ratio R of bulk and surface interactions and the ratios R₁ and R₂ of bulk and surface crystals fields on the spin-1 and spin-3/2 respectively, we have determined various types of phase diagrams. Besides second- order transition lines, first-order phase transition lines terminating at tricritical points are obtained. We found that there existed nine main types of phase diagram showing a variety of phase transitions associated with the surface, including ordinary, extraordinary, surface and special phase transitions.

Semi-Infinite, Mixed Spins, Blume-Capel Model, Renormalization Group, Surface Transitions

Bouziani, M. , Madani, M. , Gaye, A. and Alrajhi, A. (2016) Phase Diagrams of the Semi-Infinite Blume-Capel Model with Mixed Spins (SA = 1 and SB = 3/2) by Migdal Kadanoff Renormalization Group. World Journal of Condensed Matter Physics, 6, 109-122. doi: 10.4236/wjcmp.2016.62015.