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Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions



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Fytas, Nikolaos G. and Martín Mayor, Víctor and Picco, Marco and Sourlas, Nicolas (2016) Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions. Physical review letters, 116 (22). ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.116.227201


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.

Item Type:Article
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© 2016 American Physical Society.
Our L=52, 60 lattices were simulated in the MareNostrum and Picasso supercomputers (we thankfully acknowledge the computer resources and assistance provided by the staff at the Red Española de Supercomputación). N. G. F. was supported by Royal Society Research Grant No. RG140201 and from a Research Collaboration Fellowship Scheme of Coventry University. V. M.-M. was supported by MINECO (Spain) through research Contract No. FIS2012-35719C02-01.

Uncontrolled Keywords:Zero-temperature; Universality; Scattering; Exponents; Symmetry
Subjects:Sciences > Physics > Physics-Mathematical models
ID Code:38431
Deposited On:05 Jul 2016 17:06
Last Modified:06 Jul 2016 08:26

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