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

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

2000-01-10

arxiv.org/abs/cond-mat/0001105v1

JETP Letters 76 (2000) 337

Physics

Condensed Matter

Statistical Mechanics

RevTex, 10 pages, 3 Postscript figures

Scientific paper

10.1134/1.1328451

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.

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