  Real crystals almost unavoidably contain a finite density of dislocations. We
show that this generic type of long--range correlated disorder leads to a
breakdown of the conventional scenario of critical behavior and standard
renormalization group techniques based on the existence of a simple,
homogeneous ground state. This breakdown is due to the appearance of an
inhomogeneous ground state that changes the character of the phase transition
to that of a percolative phenomenon. This scenario leads to a natural
explanation for the appearance of two length scales in recent high resolution
small-angle scattering experiments near magnetic and structural phase
transitions.
