Phase Transition in the n > 2 Honeycomb O\(n\) Model
Abstract
We determine the phase diagram of the O\(n\) loop model on the honeycomb lattice, in particular, in the range n>2, by means of a transfermatrix method. We find that, contrary to the prevailing expectation, there is a line of critical points in the range between n = 2 and ∞. This phase transition, which belongs to the threestate Potts universality class, is unphysical in terms of the O\(n\) spin model, but falls inside the physical region of the ncomponent cornercubic model. It can also be interpreted in terms of the ordering of a system of soft particles with hexagonal symmetry.
 Publication:

Physical Review Letters
 Pub Date:
 October 2000
 DOI:
 10.1103/PhysRevLett.85.3874
 Bibcode:
 2000PhRvL..85.3874G