Citation:
Vernier, E., Jacobsen, J. L. and Salas, J. Q-colourings of the triangular lattice: exact exponents and conformal field theory. Journal of Physics A: Mathematical and Theoretical, 49 (17), 174004
xmlui.dri2xhtml.METS-1.0.item-contributor-funder:
Ministerio de Economía y Competitividad (España)
Sponsor:
The research of JLJ was supported in part by the Agence Nationale de la Recherche (grant ANR-10-BLAN-0414: DIME), the Institut Universitaire de France, and the European Research Council (through the advanced grant NuQFT). The research of JS was supported in part by Spanish MINECO grants FIS2012-34379 and FIS2014-57387-C3-3-P.
Project:
Gobierno de España. FIS2012-34379 Gobierno de España. FIS2014-57387-C3-3-P
Keywords:
Chromatic polynomial
,
Integrability
,
Conformal field theory
,
Antiferromagnetic potts model partition-function zeros
,
Packed loop model
,
Square-lattice
,
Critical-behavior
,
Transfer-matrices
,
2 Dimensions
,
Honeycomb lattice
,
Hamiltonian-walks
The corresponding conformal field theory is identified and the exact critical exponents are derived. We discuss their implications for the phase diagram of the antiferromagnetic triangular-lattice Potts model at non-zero temperature. Finally, we relate our resThe corresponding conformal field theory is identified and the exact critical exponents are derived. We discuss their implications for the phase diagram of the antiferromagnetic triangular-lattice Potts model at non-zero temperature. Finally, we relate our results to recent observations in the field of spin-one anyonic chains.[+][-]