Spontaneous Magnetization and Phase Diagrams of the Mixed Spin-1/2 and Spin-S Ising Model on the Bethe Lattice

• Authors: J. Strečka , C. Ekiz
• Languages of publication: EN

Abstracts

EN

The effect of uniaxial single-ion anisotropy on magnetic and critical properties of the mixed spin-1/2 and spin-S (S>1/2) Ising model on a three-coordinated Bethe lattice is rigorously examined with the help of star-triangle transformation and exact recursion relations. In particular, our attention is focused on the ferrimagnetic version of the model, which exhibits diverse temperature dependences of the total and both sublattice magnetizations. It is shown that the critical behavior of the mixed-spin Ising model on the Bethe lattice basically depends on whether the quantum spin number S is integer or half-odd-integer.

Keywords

EN

05.50.+q; 75.10.Hk; 75.10.Kz; 75.40.Cx

Discipline

• 75.10.Hk: Classical spin models
• 75.40.Cx: Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
• 05.50.+q: Lattice theory and statistics (Ising, Potts, etc.)(see also 64.60.Cn Order-disorder transformations, and 75.10.Hk Classical spin models)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 4
• Pages: 615-617

Dates

published

2017-04

Contributors

author

J. Strečka

• Department of Theoretical Physics and Astrophysics, Faculty of Science, P.J. Šafárik University, Park Angelinum 9, 040 01 Košice, Slovak Republic

author

C. Ekiz

• Department of Physics, Faculty of Science and Art, Adnan Menderes University, 090 10 Aydın, Turkey

References

• [1] J. Strečka, M. Jaščur, Acta Phys. Slov. 65, 235 (2015), doi: 10.2478/apsrt-2015-0004
• [2] L.L. Gonçalves, Phys. Scr. 32, 248 (1985), doi: 10.1088/0031-8949/32/3/012
• [3] J. Strečka, Physica A 360, 379 (2006), doi: 10.1016/j.physa.2005.07.012
• [4] C. Ekiz, J. Strečka, M. Jaščur, Cent. Eur. J. Phys. 7, 509 (2009), doi: 10.2478/s11534-009-0043-7
• [5] R.J. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, New York 1982
• [6] E. Jurčišinová, M. Jurčišin, J. Stat. Phys. 147, 1077 (2012), doi: 10.1007/s10955-012-0518-6

Identifiers

DOI

10.12693/APhysPolA.131.615