Equation of state for cubic ferromagnets

Abstract

The scaling equation of state for ferromagnets with interactions of cubic symmetry is derived to first order in $\ensuremath{\epsilon}=4\ensuremath{-}d$, where $d$ is the dimensionality of space. Finite susceptibilities are found at zero field below ${T}_{c}$. These diverge, however, as the number of spin components approaches ${n}_{c}$ (\ensuremath{\simeq}3.13 at $\ensuremath{\epsilon}=1$) from above, where the cubic fixed point coincides with the usual Heisenberg fixed point.