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

A. I. Sokolov·K. B. Varnashev
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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.

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A. I. Sokolov, K. B. Varnashev. 1999-04-25. Critical behavior of three-dimensional magnets with complicated ordering from three-loop renormalization-group expansions. https://doi.org/10.1103/physrevb.59.8363

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