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arXiv · 1910.03776

Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field

C. Itoi·Y. Utsunomiya
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Abstract

We prove that the variance of spin overlap vanishes in disordered Ising models satisfying the Fortuin-Kasteleyn-Ginibre (FKG) inequality under a uniform field, such as generally distributed random field Ising model, site- and bond-diluted Ising models with the Bernoulli distribution. Chatterjee's proof for the Gaussian random field Ising model is generalized to other independent identically distributed quenched disorder under a uniform field.

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C. Itoi, Y. Utsunomiya. 2019-10-15. Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field. https://doi.org/10.1063/1.5131685

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