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Emerging criticality in the disordered three-color Ashkin-Teller model
Published in American Physical Society
Volume: 91
Issue: 22
We study the effects of quenched disorder on the first-order phase transition in the two-dimensional three-color Ashkin-Teller model by means of large-scale Monte Carlo simulations. We demonstrate that the first-order phase transition is rounded by the disorder and turns into a continuous one. Using a careful finite-size-scaling analysis, we provide strong evidence for the emerging critical behavior of the disordered Ashkin-Teller model to be in the clean two-dimensional Ising universality class, accompanied by universal logarithmic corrections. This agrees with perturbative renormalization-group predictions by Cardy. As a byproduct, we also provide support for the strong-universality scenario for the critical behavior of the two-dimensional disordered Ising model. We discuss consequences of our results for the classification of disordered phase transitions as well as generalizations to other systems. © 2015 American Physical Society.
About the journal
JournalData powered by TypesetPhysical Review B - Condensed Matter and Materials Physics
PublisherData powered by TypesetAmerican Physical Society
Open AccessNo