On the critical exponent $\alpha$ of the 5D random-field Ising model. Fytas, N. G., Martín-Mayor, V., Parisi, G., Picco, M., & Sourlas, N. Journal of Statistical Mechanics: Theory and Experiment, 2019(9):093203, sep, 2019. Paper doi abstract bibtex We present a complementary estimation of the critical exponent \$}\backslashalpha{\$ of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result \$}\backslashalpha = 0.12(2){\$ is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at \$}D = 5{\$.
@article{Fytas2019a,
abstract = {We present a complementary estimation of the critical exponent {\$}\backslashalpha{\$} of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result {\$}\backslashalpha = 0.12(2){\$} is consistent with the estimation coming from the modified hyperscaling relation and provides additional evidence in favor of the recently proposed restoration of dimensional reduction in the random-field Ising model at {\$}D = 5{\$}.},
archivePrefix = {arXiv},
arxivId = {1907.01340},
author = {Fytas, Nikolaos G. and Mart{\'{i}}n-Mayor, V{\'{i}}ctor and Parisi, Giorgio and Picco, Marco and Sourlas, Nicolas},
doi = {10.1088/1742-5468/ab3987},
eprint = {1907.01340},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2019 - On the critical exponent {\$}alpha{\$} of the 5D random-field Ising model.pdf:pdf},
issn = {1742-5468},
journal = {Journal of Statistical Mechanics: Theory and Experiment},
month = {sep},
number = {9},
pages = {093203},
title = {{On the critical exponent $\alpha$ of the 5D random-field Ising model}},
url = {https://arxiv.org/abs/1907.01340 http://arxiv.org/abs/1907.01340 http://dx.doi.org/10.1088/1742-5468/ab3987 https://iopscience.iop.org/article/10.1088/1742-5468/ab3987},
volume = {2019},
year = {2019}
}
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