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No spin glass phase in the ferromagnetic random-field random-temperature scalar Ginzburg-Landau model
Journal article published in 2011 by
Florent Krzakala 
,
Federico Ricci-Tersenghi,
Federico Ricci Tersenghi,
David Sherrington,
Lenka Zdeborova
,
Federico Ricci-Tersenghi,
Federico Ricci Tersenghi,
David Sherrington,
Lenka Zdeborova
Abstract
Krzakala, Ricci-Tersenghi and Zdeborova have recently shown that the random field Ising model with non-negative interactions and an arbitrary external magnetic field on an arbitrary lattice does not have a static spin-glass phase. In this communication we generalize the proof to a soft scalar spin version of the Ising model: the Ginzburg-Landau model with a random magnetic field and a random temperature parameter. We do so by proving that the spin glass susceptibility cannot diverge unless the ferromagnetic susceptibility does.