Critical behavior of three-dimensional magnets with complicated ordering from three-loop renormalization-group expansions

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.

10 pages, LaTeX, revised version published in Phys. Rev. B

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• Stability of critical behaviour of weakly disordered systems with respect to the replica symmetry breaking
• Critical behavior of certain antiferromagnets with complicated ordering: Four-loop $\ve$-expansion analysis
• Universality classes of three-dimensional $mn$-vector model
• Critical thermodynamics of three-dimensional MN-component field model with cubic anisotropy from higher-loop εexpansion
• The stability of a cubic fixed point in three dimensions from the renormalization group