Universality and crossover in an extremely anisotropic n-vector model

A. Aharony

doi:10.1088/0022-3719/7/4/001

Universality and crossover in an extremely anisotropic n-vector model

A. Aharony^*

^*Corresponding author for this work

Cornell University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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)-T_c( infinity ) varies as 1/n, while the susceptibility behaves as chi approximately t^-1X(1/nt^phi), with t=T/T_c(n)-1 and phi =¹/₂(4-d).

Original language	English
Article number	001
Pages (from-to)	L63-L67
Journal	Journal of Physics C: Solid State Physics
Volume	7
Issue number	4
DOIs	https://doi.org/10.1088/0022-3719/7/4/001
State	Published - 1974
Externally published	Yes

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title = "Universality and crossover in an extremely anisotropic n-vector model",

abstract = "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).",

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AB - 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).

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Universality and crossover in an extremely anisotropic n-vector model

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