  Monte Carlo simulations have been used to study the Z6 ferromagnet in a
random field on simple cubic lattices, which is a simple model for randomly
pinned charge-density waves. The random field is chosen to have infinite
strength on a fraction x of the sites of the lattice, and to be zero on the
remaining sites. For x= 1/16 there are two phase transitions. At low
temperature there is a ferromagnetic phase, which is stabilized by the six-fold
nonrandom anisotropy. The intermediate temperature phase is characterized by a
|k|^(-3) decay of two-spin correlations, but no true ferromagnetic order. At
the transition between the power-law correlated phase and the paramagnetic
phase the magnetic susceptibility diverges, and the two-spin correlations decay
approximately as |k|^(-2.87).
