Deng, YJ;
Garoni, TM;
Guo, WN;
Blote, HWJ;
Sokal, AD;
(2007)
Cluster simulations of loop models on two-dimensional lattices.
PHYS REV LETT
, 98
(12)
, Article 120601. 10.1103/PhysRevLett.98.120601.
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Abstract
We develop cluster algorithms for a broad class of loop models on two-dimensional lattices, including several standard O(n) loop models at n >= 1. We show that our algorithm has little or no critical slowing-down when 1 <= n <= 2. We use this algorithm to investigate the honeycomb-lattice O(n) loop model, for which we determine several new critical exponents, and a square-lattice O(n) loop model, for which we obtain new information on the phase diagram.
| Type: | Article |
|---|---|
| Title: | Cluster simulations of loop models on two-dimensional lattices |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevLett.98.120601 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevLett.98.120601 |
| Language: | English |
| Additional information: | © 2007 The American Physical Society |
| Keywords: | POTTS-MODEL, CRITICAL-BEHAVIOR, 2 DIMENSIONS, O(N) MODEL, POLYNOMIALS, PERCOLATION, TRANSITION, ALGORITHM, DYNAMICS, SLE |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/82821 |
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