%e analyze the possibility of the appearance of long-range correlations of states of quenched defect systems in disordered solids. For randomly distributed defects with a finite number of degenerate internal degrees of freedom such correlations are shown to appear near the defect percolation threshold if they obey certain nearest-neighbor correlation rules. The corresponding efFective Hamiltonian can be viewed as that of a generalized m-component long-range correlated %einrib-Halperin model. Our renormalization-group investigation shows, however, that it asymptotically decomposes into a set of m noninteracting one-component Weinrib-Halperin models. The coordinates of the stable fixed point of this model are determined to O(c~)
The critical behaviour of the generalized (anisotropic) m-component Weinrib-Halperin model is investigated. The critical exponent η and the dynamic exponent z are calculated in d = 4 - ε space dimension in a two- and one-loop approximation, respectively. Using the fermionic formulation we have derived an exact result for the correlation length exponent ν of the two-dimensional Ising model with long-range correlated quenched defects.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.