On the phase transition of the 3D random field Ising model

Abstract : We present numerical simulations of the random field Ising model in three dimensions at zero temperature. The critical exponents are found to agree with previous results. We argue that the ground state magnetisation at the critical point is different from zero and its derivative with respect to the ferromagnetic coupling diverges as L^{1/nu} where L is the linear size of the system and nu is the correlation length exponent. The critical amplitude ratio of the magnetic susceptibilities is very large, equal to 233.1 +/- 1.5. We found strong sample to sample fluctuations which obey finite size scaling. The probability distribution of the size of small energy excitations is maximally non self averaging and obeys finite size scaling.
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Contributor : Marco Picco <>
Submitted on : Monday, November 18, 2013 - 12:15:40 PM
Last modification on : Thursday, July 18, 2019 - 10:30:05 AM

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Marco Picco, Nicolas Sourlas. On the phase transition of the 3D random field Ising model. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2014, pp.P03019. ⟨10.1088/1742-5468/2014/03/P03019⟩. ⟨hal-00905456⟩

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