Renormalization-Group Approach to the Critical Behavior of Random-Spin Models
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Physics
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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.
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1974-12-23
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Physical Review Letters