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Critical behaviour in three-state Potts antiferromagnets on a Bethe lattice

Author

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  • Peruggi, Fulvio
  • Di Liberto, Francesco
  • Monroy, Gabriella

Abstract

A rigorous method recently introduced for the solution of spin models on Bethe lattices is used to solve the three-state antiferromagnetic Potts model in an external field, and to find its phase diagram. Critical lines where the system undergoes first-order or second-order phase transitions are found, which are in complete qualitative agreement with recent results by Racz and Vicsek. Also new unexpected ordered phases are found.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:131:y:1985:i:1:p:300-310
    DOI: 10.1016/0378-4371(85)90094-9
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    1. 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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    Cited by:

    1. 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.
    2. 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.

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