Department of Physics Papers

Document Type

Journal Article

Date of this Version

12-23-1974

Publication Source

Physical Review Letters

Volume

33

Issue

26

Start Page

1540

Last Page

1543

DOI

10.1103/PhysRevLett.33.1540

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 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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Date Posted: 20 August 2015

This document has been peer reviewed.