Abstract
We study the critical behavior of frustrated systems by means of the Padé-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 nonperturbative effects.
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 6, 2000, pp. 487–492.
Original English Text Copyright © 2000 by Loison, Sokolov, Delamotte, Antonenko, Schotte, Diep.
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Loison, D., Sokolov, A.I., Delamotte, B. et al. Critical behavior of frustrated systems: Monte Carlo simulations versus renormalization group. Jetp Lett. 72, 337–340 (2000). https://doi.org/10.1134/1.1328451
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DOI: https://doi.org/10.1134/1.1328451