1.
Phys Rev E Stat Nonlin Soft Matter Phys
; 87(1): 012136, 2013 Jan.
Artigo
em Inglês
| MEDLINE
| ID: mdl-23410312
RESUMO
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.