Abstract
A cubic field, coupling tos|s|2, inn-component spin models induces a bicritical crossover fromn-isotropic to Ising like (m=1) critical behaviour for 1<n<∞, but to classical behaviour in the limitn→∞. By following the analysis of Nelson and Domany, the bicritical scaling function for the free energy ind dimensions is obtained correct to order ε=4−d and for general (m,n). The mechanism responsible for the breakdown of hyperscaling in the classical behaviour is discussed.
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Cami, E., Seglar, P. Crossover scaling function for the free energy. Z. Physik B - Condensed Matter 58, 57–62 (1984). https://doi.org/10.1007/BF01469437
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DOI: https://doi.org/10.1007/BF01469437