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

✍ Scribed by A. Bakchich; A. Benyoussef; M. Touzani

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 278 KB
• Volume: 192
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(93)90051-5

✦ Synopsis

The finite size scaling method is used to investigate the phase diagrams of the q-state antiferromagnetic Ports 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 = He) point, where H c 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.