Fully packed loop model on the honeycomb lattice
- 28 February 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (9) , 1372-1375
- https://doi.org/10.1103/physrevlett.72.1372
Abstract
We investigate the O(n) model on the honeycomb lattice, using its loop representation in the limit of full packing. The universal properties, which we calculate by means of finite-size scaling and transfer-matrix techniques, are different from the branches of O(n) critical behavior known thus far. The conformal anomaly of the model varies between -1 and 2 in the interval 0≤n≤2. The universality class of the model is characterized as a superposition of a low-temperature O(n) phase, and a solid-on-solid model at a temperature independent of n.Keywords
This publication has 24 references indexed in Scilit:
- Critical properties of the Izergin-Korepin and solvable O(n) models and their related quantum spin chainsJournal of Physics A: General Physics, 1992
- Bethe-Ansatzresults for a solvable O(n) model on the square latticePhysical Review Letters, 1989
- Critical behaviour and conformal anomaly of the O(n) model on the square latticeJournal of Physics A: General Physics, 1989
- Conformal invariance and critical behavior of the O(n) model on the honeycomb latticePhysical Review B, 1989
- Finite Size Correction and Conformal Anomaly for O(n) Spin SystemJournal of the Physics Society Japan, 1988
- Conformal Anomaly and Scaling Dimensions of theModel from an Exact Solution on the Honeycomb LatticePhysical Review Letters, 1988
- Chromatic polynomials of large triangular latticesJournal of Physics A: General Physics, 1987
- q colourings of the triangular latticeJournal of Physics A: General Physics, 1986
- Exact Critical Point and Critical Exponents ofModels in Two DimensionsPhysical Review Letters, 1982
- Dependence of Critical Properties on Dimensionality of SpinsPhysical Review Letters, 1968