摘要
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 R<sub>1</sub> and R<sub>2 </sub>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.
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 R<sub>1</sub> and R<sub>2 </sub>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.
作者
Mohamed El Bouziani
Mohamed Madani
Abou Gaye
Abdelhameed Alrajhi
Mohamed El Bouziani;Mohamed Madani;Abou Gaye;Abdelhameed Alrajhi(Laboratoire L.P.M.C., Equipe de Physique théorique, Faculté des Sciences, Université Chouaib Doukkali, El Jadida, Maroc;Laboratoire L.P.M.C., Equipe de Physique théorique, Faculté des Sciences, UniversitéChouaib Doukkali, El Jadida, Maroc;Département de Physique-Chimie, CRMEF El Jadida-Safi, Safi, Maroc)
