Critical behavior of three-dimensional magnets with complicated ordering from three-loop renormalization-group expansions
Statistical Mechanics
2009-10-31 v2
Abstract
The critical behavior of a model describing phase transitions in 3D antiferromagnets with 2N-component real order parameters is studied within the renormalization-group (RG) approach. The RG functions are calculated in the three-loop order and resummed by the generalized Pade-Borel procedure preserving the specific symmetry properties of the model. An anisotropic stable fixed point is found to exist in the RG flow diagram for N > 1 and lies near the Bose fixed point; corresponding critical exponents are close to those of the XY model. The accuracy of the results obtained is discussed and estimated.
Cite
@article{arxiv.cond-mat/9804223,
title = {Critical behavior of three-dimensional magnets with complicated ordering from three-loop renormalization-group expansions},
author = {A. I. Sokolov and K. B. Varnashev},
journal= {arXiv preprint arXiv:cond-mat/9804223},
year = {2009}
}
Comments
10 pages, LaTeX, revised version published in Phys. Rev. B