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Antiferromagnetic Potts model in a magnetic field: a finite size scaling study

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  • Bakchich, A.
  • Benyoussef, A.
  • Touzani, M.

Abstract

The finite size scaling method is used to investigate the phase diagrams of the q-state antiferromagnetic Potts model in an external magnetic field on a square lattice. Critical lines where the system undergoes second-order phase transitions between ordered and disordered phases are found, which are in complete qualitative agreement with known results for q = 3. Also new unexpected features are found for q ⩾ 4 where the transition vanishes in the negative field region, while in the positive field region, as q increases, the critical line flattens out with increasing slopes both at the (T = 0, H = Hc) point, where Hc is the critical field at zero temperature, and at the (T = 0, H = 0) point. Thermal exponents YT are also calculated for arbitrary q along the critical lines.

Suggested Citation

  • Bakchich, A. & Benyoussef, A. & Touzani, M., 1993. "Antiferromagnetic Potts model in a magnetic field: a finite size scaling study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(3), pages 516-524.
    • Handle: RePEc:eee:phsmap:v:192:y:1993:i:3:p:516-524
    DOI: 10.1016/0378-4371(93)90051-5
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    References listed on IDEAS

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    1. Bakchich, A. & Benyoussef, A. & Touzani, M., 1992. "Phase diagrams of the Blume-Emery-Griffiths model: real-space renormalization group investigation and finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 524-533.
    2. Peruggi, Fulvio & Di Liberto, Francesco & Monroy, Gabriella, 1985. "Critical behaviour in three-state Potts antiferromagnets on a Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 300-310.
    3. Peruggi, Fulvio & di Liberto, Francesco & Monroy, Gabriella, 1987. "Phase diagrams of the q-state potts model on Bethe lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 151-186.
    4. G. J. Schick & B. F. Kunnecke, 1982. "Do High Grades, Top Schools, or An Advanced Degree Lead to Job Security and Extraordinary Salary Progression?," Interfaces, INFORMS, vol. 12(1), pages 9-18, February.
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