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Within the framework of the $s$-$d(f)$ exchange model in the mean-fieldapproximation for square, simple cubic, body-centered and face-centered cubiclattices, the formation of a ferromagnetic, spiral, and commensurateantiferromagnetic order is investigated. The possibility of the formation ofinhomogeneous states (magnetic phase separation), which necessarily arisesduring first-order phase transitions in the electron filling parameter, istaken into account. The saturation of the antiferromagnetic and spiral statesis studied depending on the parameters of the model. The results obtainedinclude a rich variety of magnetic structures and phase transitions, allowingthe interpretation of magnetic properties of semiconducting and metallicsystems containing magnetic atoms.

Incommensurate magnetic order in rare earth and transition metal compounds with local moments