TITLE:
Phase Diagrams of the Semi-Infinite Blume-Capel Model with Mixed Spins (SA = 1 and SB = 3/2) by Migdal Kadanoff Renormalization Group
AUTHORS:
Mohamed El Bouziani, Mohamed Madani, Abou Gaye, Abdelhameed Alrajhi
KEYWORDS:
Semi-Infinite, Mixed Spins, Blume-Capel Model, Renormalization Group, Surface Transitions
JOURNAL NAME:
World Journal of Condensed Matter Physics,
Vol.6 No.2,
May
31,
2016
ABSTRACT: 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.