On the critical exponent a of the 5D random-field Ising model



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Fytas, Nikolaos G. and Martín Mayor, Víctor and Parisi, Giorgio and Picco, Marco and Sourlas, Nicolas (2019) On the critical exponent a of the 5D random-field Ising model. Journal of statistical mechanics : theory and experiment . ISSN 1742-5468

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Official URL: http://dx.doi.org/10.1088/1742-5468/ab3987


We present a complementary estimation of the critical exponent alpha of the specific heat of the 5D random-field Ising model from zero-temperature numerical simulations. Our result alpha = 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.

Item Type:Article
Additional Information:

©2019 IOP Publishing.
We acknowledge partial financial support from Ministerio de Economia, Industria y Competitividad (MINECO, Spain) through Grants No. FIS2015-65078-C2 and PGC2018-094684-B-C21, and from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Grant No. 694925).

Uncontrolled Keywords:Lower critical dimension; Ground-state structure; Phase-transitions; Critical-behavior; Systems.
Subjects:Sciences > Physics
ID Code:57611
Deposited On:11 Nov 2019 17:34
Last Modified:12 Nov 2019 08:38

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