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

Nickolaos G. Fytas, V. Martín-Mayor, M. Picco, N. 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 describe the transition.
Original languageEnglish
Article number227201
JournalPhysical Review Letters
Volume116
DOIs
Publication statusPublished - 3 Jun 2016

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Ising model
exponents
statistics
scaling
simulation
temperature

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Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions. / Fytas, Nickolaos G.; Martín-Mayor, V.; Picco, M.; Sourlas, N.

In: Physical Review Letters, Vol. 116, 227201, 03.06.2016.

Research output: Contribution to journal › Article

Fytas, NG, Martín-Mayor, V, Picco, M & Sourlas, N 2016, 'Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions' Physical Review Letters, vol. 116, 227201. https://doi.org/10.1103/PhysRevLett.116.227201
Fytas NG, Martín-Mayor V, Picco M, Sourlas N. Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions. Physical Review Letters. 2016 Jun 3;116. 227201. https://doi.org/10.1103/PhysRevLett.116.227201
Fytas, Nickolaos G. ; Martín-Mayor, V. ; Picco, M. ; Sourlas, N. / Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions. In: Physical Review Letters. 2016 ; Vol. 116.
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