Abstract
A renormalization-group technique is used to study the critical behavior of spin models in which each interaction has a small independent random width about its average value. The cluster approximation of Niemeyer and Van Leeuwen indicates that the two-dimensional Ising model has the same critical behavior as the homogeneous system. The expansion for -component continuous spins shows that this behavior holds to first order in for . For , there is a new stable fixed point with .
- Received 9 September 1974
DOI:https://doi.org/10.1103/PhysRevLett.33.1540
©1974 American Physical Society