Localized magnetics states in itinerant electron antiferromagnet

The influence of the itinerant electron antiferromagnetic state on the conditions for the existence or nonexistence of localized moments is investigated. Assuming a non-pertubed antiferromagnetic state, simple conditions are given for the occurence of a localized moment and the phase diagram is determined. The main result is that due to the modified density of states, in the antiferromagnetic phase the standard Anderson conditions are slightly modified even in the limit |E| ～ Δ.