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arXiv · 1605.05072

Phase transitions in disordered systems: the example of the random-field Ising model in four dimensions

Nikolaos G. Fytas·Victor Martin-Mayor·Marco Picco·Nicolas Sourlas
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Abstract

By performing a high-statistics simulation of the $D=4$ random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high accuracy the complete set of critical exponents for this class, including the correction-to-scaling exponent. Our results indicate that in four dimensions: (i) dimensional reduction as predicted by the perturbative renormalization group does not hold and (ii) three independent critical exponents are needed to described the transition.

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Nikolaos G. Fytas, Victor Martin-Mayor, Marco Picco, Nicolas Sourlas. 2016-05-17. Phase transitions in disordered systems: the example of the random-field Ising model in four dimensions. https://doi.org/10.1103/physrevlett.116.227201

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