CRITICAL-BEHAVIOR OF CRYSTALS WITH LONG-RANGE CORRELATIONS CAUSED BY POINT-DEFECTS WITH DEGENERATE INTERNAL DEGREES OF FREEDOM

We analyze the possibility of the appearance of long-range correlation s of states of quenched defect systems in disordered solids. For rando mly distributed defects with a finite number of degenerate internal de grees of freedom such correlations are shown to appear near the defect percolation threshold if they obey certain nearest-neighbor correlati on rules. The corresponding effective Hamiltonian can be viewed as tha t of a generalized m-component long-range correlated Weinrib-Halperin model. Our renormalization-group investigation shows, however, that it asymptotically decomposes into a set of m noninteracting one-componen t Weinrib-Halperin models. The coordinates of the stable fixed point o f this model are determined to O(epsilon1/2).