Deng, YJ;
Huang, Y;
Jacobsen, JL;
Salas, J;
Sokal, AD;
(2011)
Finite-Temperature Phase Transition in a Class of Four-State Potts Antiferromagnets.
PHYS REV LETT
, 107
(15)
, Article 150601. 10.1103/PhysRevLett.107.150601.
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Abstract
We argue that the four-state Potts antiferromagnet has a finite-temperature phase transition on any Eulerian plane triangulation in which one sublattice consists of vertices of degree 4. We furthermore predict the universality class of this transition. We then present transfer-matrix and Monte Carlo data confirming these predictions for the cases of the Union Jack and bisected hexagonal lattices.
| Type: | Article |
|---|---|
| Title: | Finite-Temperature Phase Transition in a Class of Four-State Potts Antiferromagnets |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.107.150601 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevLett.107.150601 |
| Language: | English |
| Additional information: | © 2011 American Physical Society |
| Keywords: | ZERO-TEMPERATURE, SQUARE-LATTICE, MODEL, REPRESENTATION, SPIN |
| UCL classification: | UCL 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/1323482 |
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