Paramagnetic-ferromagnetic transition in a double-exchange model

We study paramagnetic–ferromagnetic transition due to exchange interaction between classical localized spins on a lattice and conduction electrons. By solving the equations of dynamical mean field theory, we find explicit formula for Curie temperature at arbitrary Hund coupling, electron band structure and concentration. The results of numerical simulations of the Curie temperature for the semi-circular electron density of states model are presented.