Renormalization-Group Approach to the Critical Behavior of Random-Spin Models | Zendy

A. B. Harris | Zendy; T. C. Lubensky | Zendy

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Renormalization-Group Approach to the Critical Behavior of Random-Spin Models

Author(s) -

A. B. Harris,

T. C. Lubensky

Publication year - 1974

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.33.1540

Subject(s) - renormalization group , physics , ising model , spins , order (exchange) , fixed point , critical point (mathematics) , spin (aerodynamics) , mathematical physics , cluster (spacecraft) , homogeneous , group (periodic table) , condensed matter physics , statistical physics , quantum mechanics , mathematics , thermodynamics , mathematical analysis , finance , economics , computer science , programming language

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 e expansion for n-component continuous spins shows that this behavior holds to first order in e for n>4. For n<4, there is a new stable fixed point with 2ν=1+[3n/16(n−1)]e.

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