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

A. Bakchich, A. Benyoussef and M. Touzani

Physica A: Statistical Mechanics and its Applications, 1993, vol. 192, issue 3, 516-524

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.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:192:y:1993:i:3:p:516-524

DOI: 10.1016/0378-4371(93)90051-5

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