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 describe the transition.
Original language | English |
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Article number | 227201 |
Journal | Physical Review Letters |
Volume | 116 |
DOIs | |
Publication status | Published - 3 Jun 2016 |
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Nikolaos Fytas
- School of Computing, Electronics and Maths - Assistant Professor Academic
Person: Teaching and Research