Relaxation at finite temperature in Fully-Frustrated Ising Models

Details Relaxation at finite temperature in Fully-Frustrated Ising Models Relaxation at finite temperature in Fully-Frustrated Ising Models

2011-12-20

arxiv.org/abs/1112.4666v1

Journal of Statistical Mechanics: Theory and Experiment (2012) P02010

Physics

Condensed Matter

Statistical Mechanics

12 pages, 9 figures

Scientific paper

10.1088/1742-5468/2012/02/P02010

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.

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