1/N expansion for critical exponents of magnetic phase transitions in the CPN-1 model for 2

@article{Irkhin19961NEF,
  title={1/N expansion for critical exponents of magnetic phase transitions in the CPN-1 model for 2},
  author={Irkhin and Katanin and Katsnelson},
  journal={Physical review. B, Condensed matter},
  year={1996},
  volume={54 17},
  pages={
          11953-11956
        }
}
Critical exponents in the CP^{N-1} model, which describes localized-moment ferro- 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+\epsilon 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-\epsilon the 1/N-corrections are small at any N and insufficient to describe correctly the magnetic phase transition. 

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