Universality and crossover in an extremely anisotropic n-vector model

A. Aharony*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


The critical behaviour of an anisotropic n-vector model with pure single-component or Ising-like coupling is studied. The non-interacting spin components are integrated over, and the resulting single-component, reduced hamiltonian represents the gaussian model for n= infinity and the Ising-Ginzburg-Landau-Wilson model for finite n. For large n one finds T c(n)-Tc( infinity ) varies as 1/n, while the susceptibility behaves as chi approximately t-1X(1/ntphi), with t=T/Tc(n)-1 and phi =1/2(4-d).

Original languageEnglish
Article number001
Pages (from-to)L63-L67
JournalJournal of Physics C: Solid State Physics
Issue number4
StatePublished - 1974
Externally publishedYes


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