Revisiting the scaling of the specific heat of the three-dimensional random-field Ising model

Nikolaos G. Fytas (), Panagiotis E. Theodorakis and Alexander K. Hartmann
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Nikolaos G. Fytas: Applied Mathematics Research Centre, Coventry University
Panagiotis E. Theodorakis: Institute of Physics, Polish Academy of Sciences
Alexander K. Hartmann: Institut für Physik, Universität Oldenburg

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 9, 1-7

Abstract: Abstract We revisit the scaling behavior of the specific heat of the three-dimensional random-field Ising model with a Gaussian distribution of the disorder. Exact ground states of the model are obtained using graph-theoretical algorithms for different strengths 𝒩 = 268 3 spins. By numerically differentiating the bond energy with respect to h, a specific-heat-like quantity is obtained whose maximum is found to converge to a constant in the thermodynamic limit. Compared to a previous study following the same approach, we have studied here much larger system sizes with an increased statistical accuracy. We discuss the relevance of our results under the prism of a modified Rushbrooke inequality for the case of a saturating specific heat. Finally, as a byproduct of our analysis, we provide high-accuracy estimates of the critical field h c = 2.279(7) and the critical exponent of the correlation exponent ν = 1.37(1), in excellent agreement to the most recent computations in the literature.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-70364-3

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