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

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arxiv 1605.05072 v1 pith:L6AFGHJP submitted 2016-05-17 cond-mat.dis-nn

Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas This is my paper · ORCID
classification cond-mat.dis-nn
keywords modelrandom-fieldclasscriticaldimensionsexponentsfourising
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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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  1. Parisi-Sourlas Supertranslation and Scale without Conformal symmetry

    hep-th 2024-11 accept novelty 7.0 of 10

    Supertranslation symmetry protects the virial current's scaling dimension, giving eight perturbative scale-invariant but non-conformal fixed points in a quartic superfield model.

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