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Tang, H., Weller, D., Walker, T.G., Scott, J.C., Chappert, C., Hopster, H., Pang, A.W., Dessau, D.S. and Pappas, D.P. (1993) Magnetic Reconstruction of the Gd(0001) Surface. Physical Review Letters, 71, 444.

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• 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.