Real-space renormalization group investigation of pure and disordered mixed spin Ising models ond-dimensional lattices

1990 ◽  
Vol 81 (1) ◽  
pp. 99-105 ◽  
Author(s):  
N. Benayad
Keyword(s):  
Renormalization Group ◽  
Ising Models ◽  
Real Space ◽  
Mixed Spin ◽  
Real Space Renormalization Group

The mixed spin-3/2 and spin-2 Blume-Capel model by renormalization group approach

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Karima El Kihel ◽  
Hasnae Saadi ◽  
Rachid Aharrouch ◽  
Abdelmoumen El Antari ◽  
Nabil Hachem ◽  
...  
Keyword(s):  
Renormalization Group ◽  
Phase Diagrams ◽  
Low Temperatures ◽  
Real Space ◽  
Group Approach ◽  
Content Type ◽  
First Order ◽  
Mixed Spin ◽  
Real Space Renormalization Group ◽  
Renormalization Group Approach

PurposeThe authors investigate the magnetic properties of a mixed spin-3/2 and spin-2 Blume-Capel model on square and cubic lattices with two different single-ion anisotropies.Design/methodology/approachTo study the critical behavior of a mixed spin-3/2 and spin-2 system, the authors have used a real space renormalization group approximation and specifically the Migdal-Kadanoff technique. The authors give the phase diagrams for two different cases: (1) on the (Δ/|J|, 1/|J|) plane with ΔA = ΔB = Δ, and (2) on the (ΔA/|J|, 1/|J|) and (ΔB/|J|, 1/|J|) planes for selected values of ΔB/|J| and ΔA/|J|, respectively.FindingsThe phase diagrams obtained show that the system exhibits both second- and first-order phase transitions as well as tricritical points for some values of the anisotropies. Moreover, using the variation of the free energy and its derivative at low temperatures, the authors have seen the appearance of first-order transitions at very low temperatures.Originality/valueFew investigations of mixed spin-3/2 and spin-2 systems with crystal field have been realized. For this reason, the authors use the renormalization group approach to complete the work done on these systems. In absence of an exact solution, this contributes to the synthesis of the approximation results on mixed spins models.

Real-space renormalization-group study of fractal Ising models

1988 ◽  
Vol 37 (10) ◽  
pp. 5205-5210 ◽  
Author(s):  
B. Bonnier ◽  
Y. Leroyer ◽  
C. Meyers
Keyword(s):  
Renormalization Group ◽  
Ising Models ◽  
Real Space ◽  
Real Space Renormalization Group

Real-space renormalization-group treatment of the Maier-Saupe-Zwanzig model for biaxial nematic structures

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Cícero T. G. dos Santos ◽  
André P. Vieira ◽  
Silvio R. Salinas ◽  
Roberto F. S. Andrade
Keyword(s):  
Renormalization Group ◽  
Group Treatment ◽  
Real Space ◽  
Real Space Renormalization Group ◽  
Biaxial Nematic
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