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arXiv · 1602.04508

Emerging critical behavior at a first-order phase transition rounded by disorder

Ahmed K. Ibrahim·Thomas Vojta
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Abstract

We investigate the two-dimensional four-color Ashkin-Teller model by means of large-scale Monte-Carlo simulations. We demonstrate that the first-order phase transition of the clean system is destroyed by random disorder introduced via site dilution. The critical behavior of the emerging continuous transition belongs to the clean two-dimensional Ising universality class, apart from logarithmic corrections. These results confirm perturbative renormalization-group predictions; they also agree with recent findings for the three-color case, indicating that the critical behavior is universal.

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Ahmed K. Ibrahim, Thomas Vojta. 2017-06-16. Emerging critical behavior at a first-order phase transition rounded by disorder. https://doi.org/10.1002/prop.201600018

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