CRITICAL-BEHAVIOR OF THE FULLY PACKED LOOP MODEL ON THE SQUARE LATTICE

Citation
Mt. Batchelor et al., CRITICAL-BEHAVIOR OF THE FULLY PACKED LOOP MODEL ON THE SQUARE LATTICE, Journal of physics. A, mathematical and general, 29(16), 1996, pp. 399-404
Citations number
23
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
29
Issue
16
Year of publication
1996
Pages
399 - 404
Database
ISI
SICI code
0305-4470(1996)29:16<399:COTFPL>2.0.ZU;2-#
Abstract
We investigate the critical behaviour of the fully packed O(n) loop mo del on the square lattice in which each vertex is visited once by a lo op. A transfer-matrix analysis shows that this model can be interprete d as a superposition of a low-temperature O(n) model and an solid-on-s olid (SOS) model, as for the fully packed model on the honeycomb latti ce. However, not all of the critical exponents are the same for both l attices. In contrast, the fully packed model on the triangular lattice appears to behave as a pure low-temperature O(n) model.