English

Critical behavior of frustrated systems: Monte Carlo simulations versus Renormalization Group

Statistical Mechanics 2009-10-31 v1

Abstract

We study the critical behavior of frustrated systems by means of Pade-Borel resummed three-loop renormalization-group expansions and numerical Monte Carlo simulations. Amazingly, for six-component spins where the transition is second order, both approaches disagree. This unusual situation is analyzed both from the point of view of the convergence of the resummed series and from the possible relevance of non perturbative effects.

Keywords

Cite

@article{arxiv.cond-mat/0001105,
  title  = {Critical behavior of frustrated systems: Monte Carlo simulations versus Renormalization Group},
  author = {D. Loison and A. I. Sokolov and B. Delamotte and S. A. Antonenko and K. D. Schotte and H. T. Diep},
  journal= {arXiv preprint arXiv:cond-mat/0001105},
  year   = {2009}
}

Comments

RevTex, 10 pages, 3 Postscript figures