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

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

2010-08-26

arxiv.org/abs/1008.4497v1

J. Phys. A: Math. Theor. 44, 042003 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages

Scientific paper

10.1088/1751-8113/44/4/042003

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.

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