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Paper detail

No spin glass phase in ferromagnetic random-field random-temperature scalar Ginzburg-Landau model

Krzakala, 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.

preprint2010arXivOpen access
Florent KrzakalaFederico Ricci-TersenghiDavid SherringtonLenka Zdeborová
cond-mat.dis-nn
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Florent KrzakalaFederico Ricci-TersenghiDavid SherringtonLenka Zdeborová

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