Abstract
The critical behaviour of axially anisotropicn-vector models is characterized by two distinct length scales, the correlation lengthsξ ∥ andξ ⊥ for the easy and hard axes. In order to handle the full range of anisotropics fromξ ∥≈ξ ⊥ toξ ∥
partial differential renormalization group equations are derived, depending onξ ∥ andξ ⊥. The anisotropicX-Y model is studied in detail near four dimensions. The crossover scaling functions for the susceptibilities are calculated to first order inε=4−d. Two distinct crossover regions are found for weak and dominant anisotropy, respectively.
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Horner, H. Renormalization group equations with several length scales and crossover scaling functions for axial anisotropy. Z Physik B 23, 183–192 (1976). https://doi.org/10.1007/BF01352714
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DOI: https://doi.org/10.1007/BF01352714