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Journal Article

Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q

Huang Y., Chen K., Deng Y., Jacobsen J. L., Kotecký R., Salas J., Sokal Alan D., Swart Jan M.

: Physical Review E vol.87

: GAP201/12/2613, GA ČR

: Monte Carlo simulation, two-dimensional lattices, q-state Potts

: 10.1103/PhysRevE.87.012136

: http://library.utia.cas.cz/separaty/2013/SI/swart-two-dimensional potts antiferromagnets with a phase transition at arbitrarily large q.pdf

(eng): We exhibit infinite families of two-dimensional lattices (some of which are triangulations or quadrangulations of the plane) on which the q-state Potts antiferromagnet has a finite-temperature phase transition at arbitrarily large values of q. This unexpected result is proven rigorously by using a Peierls argument to measure the entropic advantage of sublattice long-range order. Additional numerical data are obtained using transfer matrices, Monte Carlo simulation, and a high-precision graph-theoretic method.

: BE

2019-01-07 08:39