Kotecky, R;
Salas, J;
Sokal, AD;
(2008)
Phase transition in the three-state Potts antiferromagnet on the diced lattice.
PHYS REV LETT
, 101
(3)
, Article 030601. 10.1103/PhysRevLett.101.030601.
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Abstract
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 nu = 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.
| Type: | Article |
|---|---|
| Title: | Phase transition in the three-state Potts antiferromagnet on the diced lattice |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.101.030601 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevLett.101.030601 |
| Language: | English |
| Additional information: | © 2008 The American Physical Society |
| Keywords: | SQUARE-LATTICE, MONTE-CARLO, CRITICAL-BEHAVIOR, ZERO-TEMPERATURE, MODEL, REPRESENTATION, HONEYCOMB, RANGE, SPIN |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/82833 |
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