Relaxation at finite temperature in Fully-Frustrated Ising Models

Jean-Charles Walter (1) , Christophe Chatelain (2)

1 Institute for Theoretical Physics, KULeuven
2 IJL - Institut Jean Lamour

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.

Mots clés: Critical phenomena; Frustration; Ising model; Monte Carlo simulations; Topological defects

Domaines: Mécanique statistique [cond-mat.stat-mech]

Jean-Charles Walter, Christophe Chatelain. Relaxation at finite temperature in Fully-Frustrated Ising Models. Journal of Statistical Mechanics: Theory and Experiment, 2012, pp.P02010. ⟨10.1088/1742-5468/2012/02/P02010⟩. ⟨hal-00653816⟩