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

Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions. Fytas, N. G., Martín-Mayor, V., Picco, M., & Sourlas, N. Physical Review Letters, 116(22):227201, jun, 2016.

Paper doi abstract bibtex

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.

@article{Fytas2016c,
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.},
archivePrefix = {arXiv},
arxivId = {1605.05072},
author = {Fytas, Nikolaos G. and Mart{\'{i}}n-Mayor, V{\'{i}}ctor and Picco, Marco and Sourlas, Nicolas},
doi = {10.1103/PhysRevLett.116.227201},
eprint = {1605.05072},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2016 - Phase transitions in disordered systems the example of the random-field Ising model in four dimensions(2).pdf:pdf;:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2016 - Phase Transitions in Disordered Systems The Example of the Random-Field Ising Model in Four Dimensions(3).pdf:pdf},
issn = {0031-9007},
journal = {Physical Review Letters},
month = {jun},
number = {22},
pages = {227201},
title = {{Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions}},
url = {http://arxiv.org/abs/1605.05072 http://dx.doi.org/10.1103/PhysRevLett.116.227201 http://link.aps.org/doi/10.1103/PhysRevLett.116.227201},
volume = {116},
year = {2016}
}

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