Crossover phenomena involving the dense O(n) phase

Crossover phenomena involving the dense O(n) phase

Guo, W.
Blöte, H.W.J.

Applied Sciences

2011-02-28

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. In line with Coulomb gas predictions, cubic anisotropy and crossing bonds are found to be relevant and introduce crossover to different types of behavior. Whereas perturbations in the form of loop-loop attractions and double bonds are irrelevant, sufficiently strong perturbations of these types induce a phase transition of the Ising type, at least in the cases investigated. This Ising transition leaves the underlying universal low-temperature O(n) behavior unaffected.

http://resolver.tudelft.nl/uuid:9c3f8f83-f3de-4f3b-b8b9-6f0fbff58108

https://doi.org/10.1103/PhysRevE.83.021115

American Physical Society

1539-3755

http://link.aps.org/doi/10.1103/PhysRevE.83.021115

Physical Review E, 83 (2), 2011

Institutional Repository

journal article

© 2011 The Author(s)
American Physical Society