Derivation of the Curie-Weiss law in dynamical mean-field theory

We present an analytic derivation of the linear temperature dependence of the inverse static susceptibility ${\chi }^{-1}\mathrm{}(T,U)\mathrm{}\sim T-T_c\mathrm{}\left(U\right)\mathrm{}$ near the transition from a paramagnetic-to-ferromagnetic correlated metal within the dynamical mean-field theory for the Hubbard model. The equations for the critical temperature and interaction strength of the transition are also determined.