Phase transition in the 3-state Potts antiferromagnet on the diced lattice
| dc.creator | Kotecky, Roman | |
| dc.creator | Salas, Jesus | |
| dc.creator | Sokal, Alan D. | |
| dc.date | 2008-02-15 | |
| dc.date | 2009-04-20 | |
| dc.date.accessioned | 2026-07-07T13:05:26Z | |
| dc.date.available | 2026-07-07T13:05:26Z | |
| dc.description | We prove that the 3-state Potts antiferromagnet on the diced lattice (dual of the kagome lattice) has entropically-driven long-range order at low temperatures (including zero). We then present Monte Carlo simulations, using a cluster algorithm, of the 3-state and 4-state models. The 3-state model has a phase transition to the high-temperature disordered phase at v = e^J - 1 = -0.860599 +- 0.000004 that appears to be in the universality class of the 3-state Potts ferromagnet. The 4-state model is disordered throughout the physical region, including at zero temperature. | |
| dc.description | 4 pages, LaTeX2e/revtex4, includes 4 figures. Version 3 (published in PRL) contains several small improvements in response to referees' comments | |
| dc.identifier | https://arxiv.org/abs/0802.2270 | |
| dc.identifier | http://arxiv.org/abs/0802.2270 | |
| dc.identifier | Phys. Rev. Lett. 101, 030601 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.101.030601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227486 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Lattice | |
| dc.subject | Mathematical Physics | |
| dc.title | Phase transition in the 3-state Potts antiferromagnet on the diced lattice | |
| dc.type | text |