Ferromagnetism and metal-insulator transition in Hubbard model with correlated hopping

In this paper both the metal-insulator transition and ferromagnetic ordering stabilization have been studied in the framework of the Hubbard model with correlated hopping and inter-atomic exchange interaction. The energy spectrum of the model has been calculated, expressions for the energy gap in the paramagnetic state, the ground state energy, the criterion of the ferromagnetism stabilization, the magnetization of system have been obtained and analyzed.