Date of this Version
Physical Review Letters
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 ε expansion for n-component continuous spins shows that this behavior holds to first order in ε for n>4. For n<4, there is a new stable fixed point with 2ν=1+[3n/16(n−1)]ε.
Harris, A., & Lubensky, T. C. (1974). Renormalization-Group Approach to the Critical Behavior of Random-Spin Models. Physical Review Letters, 33 (26), 1540-1543. http://dx.doi.org/10.1103/PhysRevLett.33.1540
Date Posted: 20 August 2015
This document has been peer reviewed.