title: Elusive spin-glass phase in the random field Ising model.
abstract: We show rigorously that the spin-glass susceptibility in the random field Ising model is always bounded by the ferromagnetic susceptibility, and therefore that no spin-glass phase can be present at equilibrium out of the ferromagnetic critical line. When the magnetization is, however, fixed to values smaller than the equilibrium value, a spin-glass phase can exist, as we show explicitly on the Bethe lattice.
authors.affiliation: CNRS and ESPCI ParisTech, 10 rue Vauquelin, UMR 7083 Gulliver, Paris 75000 France.
authors.forename: Florent
authors.initials: F
authors.lastname: Krzakala
authors.forename: Federico
authors.initials: F
authors.lastname: Ricci-Tersenghi
authors.forename: Lenka
authors.initials: L
authors.lastname: Zdeborová