Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

The European Physical Journal B

Phase diagrams of the semi-infiniteZ(q) models by real space renormalization-group method

A. Benyoussef, Lahoussine Laanait, Mohamed Loulidi

Published Feb 1, 1992• 0 citations
Publisher
DOI
10.1007/bf01323555

Related papers

Phase diagrams of semi-infinite systems by renormalization group theory and Monte Carlo simulation

O. Elgarraoui, Hasnae Saadi, Mohamed Monkade +2 more

Surface Science•Aug 8, 2023•7 citations

Real-space renormalization-group investigation of the three-dimensional semi-infinite Blume-Emery-Griffiths model

A. Benyoussef, N. Boccara, M. El Bouziani

We investigate the three-dimensional semi-infinite Blume-Emery-Griffiths (BEG) model using the Migdal-Kadanoff renormalization-group method. The parameter space is six dimensional. We find 69 fixed points describing a large variety of critical behaviors and discuss various semi-infinite models which are special cases of the BEG model such as the Blume-Capel model. For this last model we determine the various generic types of phase diagrams according to the values of the interactions on the surface and in the bulk of the system.

Physical review. B, Condensed matter•Dec 1, 1986•33 citations

Phase Diagrams of the Semi-Infinite Blume-Capel Model with Mixed Spins (SA = 1 and SB = 3/2) by Migdal Kadanoff Renormalization Group

Mohamed El Bouziani, M. Madani, Abou Gaye +1 more

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.

World Journal of Condensed Matter Physics•Jan 1, 2016•10 citations

STUDY OF THE PHASE STRUCTURE OF 2D Z(N) MODELS USING APPROXIMATE RENORMALIZATION GROUP

Oleg Borisenko, Vladimir Kushnir, V. Chelnokov

•Jan 1, 2013•0 citations

Real-space scaling methods applied to the one-dimensional extended Hubbard model. I. The real-space renormalization-group method

B. Fourcade, G. Spronken

The real-space renormalization-group method is applied to the one-dimensional extended Hubbard model. It is shown that in the half-filled-band case, the phase diagram consists of two phases and that the transition from the spin-ordered phase to the charge-ordered phase is continuous, a result which differs from that obtained previously from the broken-symmetry Hartree-Fock approximation.

Physical review. B, Condensed matter•May 1, 1984•42 citations

Renormalization-group study of weakly first-order phase transitions

N. Tetradis

arXiv:hep-th/9706088•Physics Letters B•Jul 1, 1998•13 citations
We investigate the three-dimensional semi-infinite Blume-Emery-Griffiths (BEG) model using the Migdal-Kadanoff renormalization-group method. The parameter space is six dimensional. We find 69 fixed points describing a large variety of critical behaviors and discuss various semi-infinite models which are special cases of the BEG model such as the Blume-Capel model. For this last model we determine the various generic types of phase diagrams according to the values of the interactions on the surface and in the bulk of the system.
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.