  We study theoretically the effects of strong pinning centers on a charge
density wave in the limit that the charge density wave coherence length is
shorter than the average inter-impurity distance. An analysis based on a
Ginzburg-Landau model shows that long range forces arising from the elastic
response of the charge density wave induce a kind of collective pinning which
suppresses impurity-induced phase fluctuations leading to a long ranged ordered
ground state. The effective correlations among impurities are characterized by
a length scale parametrically longer than the average inter-impurity distance.
The thermal excitations are found to be gapped implying the stability of the
ground state. We also present Monte Carlo simulations that confirm the basic
features of the analytical results.

Disordered Systems and Neural Networks;Strongly Correlated Electrons