Crossover phenomena involving the dense O(n) phase

We explore the properties of the low-temperature phase of the O(n) loop model in two dimensions by means of transfer-matrix calculations and finite-size scaling. We determine the stability of this phase with respect to several kinds of perturbations, including cubic anisotropy, attraction between loop segments, double bonds, and crossing bonds....

Tricritical O(n) models in two dimensions

We show that the exactly solved low-temperature branch of the two-dimensional O(n) model is equivalent to an O(n) model with vacancies and a different value of n. We present analytic results for several universal parameters of the latter model, which is identified as a tricritical point. These results apply to the range n ?3/2 and include the...

Critical properties of a dilute O(n) model on the kagome lattice

A critical dilute O(n) model on the kagome lattice is investigated analytically and numerically. We employ a number of exact equivalences which, in a few steps, link the critical O(n) spin model on the kagome lattice to the exactly solvable critical q-state Potts model on the honeycomb lattice with q=(n+1)². The intermediate steps involve the...

Geometric properties of two-dimensional O(n) loop configurations

Cluster simulations of loop models on two-dimensional lattices

Critical line of an n-component cubic model

Percolation between vacancies in the two-dimensional Blume-Capel model

Monte Carlo renormalization: The triangular Ising model as a test case

Finite-size analysis of the hard-square lattice gas