  In this paper we construct the two-dimensional continuum random field Ising
model via scaling limits of a random field perturbation of the critical
two-dimensional Ising model with diminishing disorder strength. Furthermore, we
show that almost surely with respect to the continuum random field given by a
white noise, the law of the magnetisation field is singular with respect to
that of the two-dimensional continuum pure Ising model constructed by Camia,
Garban and Newman.
