Phase Transition in the 1d Random field Ising Model with long range interaction

We study one--dimensional Ising spin systems with ferromagnetic, long--range interaction decaying as $n^{-2+\a}$, $\a \in (\frac 12, \frac {\ln 3} {\ln2}-1)$, in the presence of external random fields. We assume that the random fields are given by a collection of symmetric, independent, identically distributed real random variables, gaussian or subgaussian. We show, for temperature and strength of the randomness (variance) small enough, with $\P=1$ with respect to the random fields, that there are at least two distinct extremal Gibbs measures.