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29 March 2024
 
  » arxiv » 1008.4497

 Article overview


No spin glass phase in ferromagnetic random-field random-temperature scalar Ginzburg-Landau model
Florent Krzakala ; Federico Ricci-Tersenghi ; David Sherrington ; Lenka Zdeborová ;
Date 26 Aug 2010
AbstractKrzakala, Ricci-Tersenghi and Zdeborova have shown recently that the random field Ising model with non-negative interactions and arbitrary external magnetic field on an arbitrary lattice does not have a static spin glass phase. In this paper we generalize the proof to a soft scalar spin version of the Ising model: the Ginzburg-Landau model with random magnetic field and random temperature-parameter. We do so by proving that the spin glass susceptibility cannot diverge unless the ferromagnetic susceptibility does.
Source arXiv, 1008.4497
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