On Non-Ising Phase Transitions in the 3D Standard Ashkin-Teller Model

• Authors: D. Jeziorek-Knioła , G. Musiał , L. Dębski , J. Rogiers , S. Dylak
• Languages of publication: EN

Abstracts

EN

The phase transition line near the Ising point region is studied for the 3D standard Ashkin-Teller model on a cubic lattice. This model with a multicomponent order parameter is one of the important reference points in statistical physics since it shows an interesting and complicated phase diagram. The main motivation for our study was nonuniversal behavior suggested for this line. The large-scale Monte Carlo simulations using the Binder and Challa like cumulants are performed. Accurate analysis to exclude the latent heat inherence is applied. Specific behavior of the Challa like cumulants is discovered and its interpretation is proposed. The paper is closed with preliminary conclusions concerning the continuous but non-Ising character of these phase transitions in the lower part of the mixed phase region and the possiblity of the first order on the line connecting it to the Ising point.

Keywords

EN

75.10.Hk; 75.30.Kz; 75.40.Cx; 75.40.Mg

Discipline

• 75.40.Mg: Numerical simulation studies
• 75.10.Hk: Classical spin models
• 75.40.Cx: Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
• 75.30.Kz: Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.)(for ferroelectric phase transitions, see 77.80.B-; for superconductivity phase diagrams, see 74.25.Dw)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 5-6
• Pages: 1105-1107

Dates

published

2012-05

Contributors

author

D. Jeziorek-Knioła

• Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

author

G. Musiał

• Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

author

L. Dębski

• Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

author

J. Rogiers

• Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200D, 3001 Leuven, Belgium

author

S. Dylak

• Faculty of Educational Studies, A. Mickiewicz University, Szamarzewskiego 89, 60-568 Poznań, Poland

References

• 1. J. Ashkin, E. Teller, Phys. Rev. 64, 178 (1943)
• 2. C. Fan, Phys. Lett. 39A, 136 (1972)
• 3. G. Musiał, J. Rogiers, Phys. Status Solidi B 243, 335 (2006)
• 4. G. Szukowski, G. Kamieniarz, G. Musiał, Phys. Rev. E 77, 031124 (2008)
• 5. G. Musiał, Phys. Rev. B 69, 024407 (2004)
• 6. P. Arnold, Y. Zhang, Nucl. Phys. B 501, 803 (1997)
• 7. M.S.S. Challa, D.P. Landau, K. Binder, Phys. Rev. B 34, 1841 (1986)
• 8. G. Musiał, L. Dębski, G. Kamieniarz, Phys. Rev. B 66, 012407 (2002)
• 9. G. Musiał, Phys. Status Solidi B 236, 486 (2003)

Identifiers

DOI

10.12693/APhysPolA.121.1105