English

Relaxation at finite temperature in Fully-Frustrated Ising Models

Statistical Mechanics 2012-02-10 v1

Abstract

We consider by means of Monte Carlo simulations the relaxation in the paramagnetic phase of the anti-ferromagnetic Ising model on a triangular lattice and of a fully-frustrated Ising model on a square lattice. In contradistinction to previous studies of the second model, we show that spin-spin correlation functions do not decay with a stretched-exponential law at low temperature but that both models display an exponential decay with logarithmic corrections that are interpreted as the signature of topological defects.

Keywords

Cite

@article{arxiv.1112.4666,
  title  = {Relaxation at finite temperature in Fully-Frustrated Ising Models},
  author = {Jean-Charles Walter and Christophe Chatelain},
  journal= {arXiv preprint arXiv:1112.4666},
  year   = {2012}
}

Comments

12 pages, 9 figures