1/N expansion for critical exponents of magnetic phase transitions in the model for 2<d<4

V. Yu Irkhin, A. Katanin, M. Katsnelson

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32 Citations (Scopus)

Abstract

Critical exponents in the (Formula presented) model, which describes localized-moment ferromagnets and antiferromagnets (N=2 in the Heisenberg model), are calculated from two-particle Green’s functions to first order in 1/N. For d=2+ɛ the results agree with earlier renormalization group calculations. For d=3 the leading 1/N corrections turn out to be very large at N=2. For d=4-ɛ the 1/N corrections are small at any N and insufficient to describe correctly the magnetic phase transition.

Original languageEnglish
Pages (from-to)11953-11956
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume54
Issue number17
DOIs
Publication statusPublished - 1996
Externally publishedYes

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