Abstract
A lattice model of critical dense polymers is considered for finite cylinder geometry. Due to the presence of noncontractible loops with a fixed fugacity , the model at is a generalization of the critical dense polymers solved by Pearce, Rasmussen, and Villani. We found the free energy for any height and circumference of the cylinder. The density of noncontractible loops is obtained for and large . The results are compared with those found for the anisotropic quantum chain with twisted boundary conditions. Using the latter method, we derived for any model and an arbitrary fugacity.
4 More- Received 26 August 2014
DOI:https://doi.org/10.1103/PhysRevE.90.052138
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