Magnetic Properties in the Spin-3/2 Ashkin-Teller Model from Mean Field Theory

被引:1
作者
Santos, J. P. [1 ,2 ]
Nascimento, G. B. B. [1 ]
Morais, R. H. M. [1 ,3 ]
Silva, J. G. [4 ]
机构
[1] Fed Univ Sao Joao Del Rei UFSJ, Dept Nat Sci, Sao Joao Del Rei, MG, Brazil
[2] Fed Univ Sao Joao del Rei UFSJ, Dept Math, Sao Joao Del Rei, MG, Brazil
[3] Fed Inst Educ Sci & Technol Minas Gerais IFMG, Dept Sci & Languages, Belo Horizonte, MG, Brazil
[4] Maynooth Univ, Dept Elect Engn, Maynooth, Ireland
关键词
Spin-3/2 Ashkin-Teller model; Mean field theory; Influence of exchange parameters and spin-3/2 anisotropy; Variety of system phases; Tricritical and bifurcation points; Phase transitions; RENORMALIZATION-GROUP; PHASE-TRANSITIONS; MONTE-CARLO; ISING-MODEL; DIAGRAM; IONS;
D O I
10.1007/s13538-024-01617-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the present work, we investigate the spin-3/2 Ashkin-Teller model with on a cubic lattice with ferromagnetic coupling, utilizing mean field theory developed through a variational principle based on the Bogoliubov inequality to derive thermodynamic expressions, such as free energy and magnetization. We develop analytical equations and obtain numerical results, phase diagrams, and magnetizations, exploring different phases with continuous and first-order phase transitions, tricritical and bifurcation points. The different phases are obtained by considering a relationship between the couplings present in the model and the spin-3/2 anisotropy. Thermodynamic properties are characterized through the analysis of Hessian matrices, with an emphasis on the stable states of magnetizations. The results were compared with other works showing convergence and assimilating new characteristics in the study of the properties of this model, such as the presence of five distinct phases characterized by continuous and first-order phase transitions, tricritical and bifurcations points, in addition to the presence of new phases indicating the sensitivity of the system to variations in the exchange interaction values between the spin variables and the evolution of some phase transitions influenced by the spin-3/2 anisotropy.
引用
收藏
页数:9
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