On the universality of compact polymers

Details On the universality of compact polymers On the universality of compact polymers

1999-03-08

arxiv.org/abs/cond-mat/9903132v1

J. Phys. A: Math. Gen. 32, 5445-5453 (1999)

Physics

Condensed Matter

Statistical Mechanics

13 pages including 4 figures

Scientific paper

10.1088/0305-4470/32/29/305

Fully packed loop models on the square and the honeycomb lattice constitute new classes of critical behaviour, distinct from those of the low-temperature O(n) model. A simple symmetry argument suggests that such compact phases are only possible when the underlying lattice is bipartite. Motivated by the hope of identifying further compact universality classes we therefore study the fully packed loop model on the square-octagon lattice. Surprisingly, this model is only critical for loop weights n < 1.88, and its scaling limit coincides with the dense phase of the O(n) model. For n=2 it is exactly equivalent to the selfdual 9-state Potts model. These analytical predictions are confirmed by numerical transfer matrix results. Our conclusions extend to a large class of bipartite decorated lattices.

Affiliated with

Also associated with

No associations

Rating

On the universality of compact polymers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the universality of compact polymers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the universality of compact polymers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415799