A new mean field SA–SA'critical point in a symmetry breaking field

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Abstract
We consider a SA–SA' critical point in the presence of a symmetry-breaking external magnetic (electric) field with a positive magnetic (dielectric) anisotropy or a dislocation layer. Via a renormalization group analysis of the model hamiltonian, we show that the upper critical dimensions below which mean-field theory breaks down is dc = 2·5. Thus the SA–SA' transition in three dimensions becomes mean-field like in the presence of a symmetry-breaking field. We estimate the reduced temperature region where we can expect to see the mean field SA–SA' critical point in the presence of a magnetic field or a dislocation layer.