Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model. Fytas, N. G., Martin-Mayor, V., Picco, M., & Sourlas, N. nov, 2016.
Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model [link]Paper  abstract   bibtex   
We report a high-precision numerical estimation of the critical exponent \$}\backslashalpha{\$ of the specific heat of the random-field Ising model in four dimensions. Our result \$}\backslashalpha = 0.12(1){\$ indicates a diverging specific-heat behavior and is consistent with the estimation coming from the modified hyperscaling relation using our estimate of \$}\backslashtheta{\$ via the anomalous dimensions \$}\backslasheta{\$ and \$}\backslashbar{\{}\backslasheta{\}}{\$. Our analysis benefited form a high-statistics zero-temperature numerical simulation of the model for two distributions of the random fields, namely a Gaussian and Poissonian distribution, as well as recent advances in finite-size scaling and reweighting methods for disordered systems. An original estimate of the critical slowing down exponent \$}z{\$ of the maximum-flow algorithm used is also provided.
@article{Fytas2016a,
abstract = {We report a high-precision numerical estimation of the critical exponent {\$}\backslashalpha{\$} of the specific heat of the random-field Ising model in four dimensions. Our result {\$}\backslashalpha = 0.12(1){\$} indicates a diverging specific-heat behavior and is consistent with the estimation coming from the modified hyperscaling relation using our estimate of {\$}\backslashtheta{\$} via the anomalous dimensions {\$}\backslasheta{\$} and {\$}\backslashbar{\{}\backslasheta{\}}{\$}. Our analysis benefited form a high-statistics zero-temperature numerical simulation of the model for two distributions of the random fields, namely a Gaussian and Poissonian distribution, as well as recent advances in finite-size scaling and reweighting methods for disordered systems. An original estimate of the critical slowing down exponent {\$}z{\$} of the maximum-flow algorithm used is also provided.},
archivePrefix = {arXiv},
arxivId = {1611.09015},
author = {Fytas, N. G. and Martin-Mayor, V. and Picco, M. and Sourlas, N.},
eprint = {1611.09015},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2016 - Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model.pdf:pdf},
month = {nov},
pages = {11},
title = {{Specific-heat exponent and modified hyperscaling in the 4D random-field Ising model}},
url = {http://arxiv.org/abs/1611.09015},
year = {2016}
}

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