Crossover phenomena involving the dense O($n$) phase

Crossover phenomena involving the dense O( $n$ ) phase

Wenan Guo and Henk W. J. Blöte

Phys. Rev. E 83, 021115 – Published 28 February 2011

Abstract

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.

1 More

Received 1 November 2010

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

Authors & Affiliations

Wenan Guo^1,* and Henk W. J. Blöte^2,3

¹Physics Department, Beijing Normal University, Beijing 100875, P.R. China
²Instituut Lorentz, Leiden University, P.O. Box 9506, NL-2300 RA Leiden, The Netherlands
³Faculty of Applied Sciences, Delft University of Technology, P.O. Box 5046, NL-2600 GA Delft, The Netherlands

^*waguo@bnu.edu.cn

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 83, Iss. 2 — February 2011

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review E

covering statistical, nonlinear, biological, and soft matter physics