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

Autor:	Itoi, C., Utsunomiya, Y.
Rok vydání:	2019
Předmět:	Mathematical Physics Condensed Matter - Disordered Systems and Neural Networks 82B44
Zdroj:	J. Math. Phys. 61,073302 (2020)
Druh dokumentu:	Working Paper
DOI:	10.1063/1.5131685
Popis:	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. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.03776 Zobrazit plný text záznamu View this record from Arxiv