Electrical Resistivity of Antiferromagnetic Metals

Abstract

The electrical resistivity of antiferromagnetic metals is discussed on the basis of the two band model. The general expression in terms of the dynamical susceptibility is obtained. The resistivity is studied by using the self-consistent renormalization theory of spin fluctuations. The resistivity at low temperatures is proportional to T² and its coefficient diverges as |α−1|^−1⁄2 as one approaches the critical boundary of antiferromagnetism. It is pointed out that in the ordered phase the effect of the gap in the conduction band is important. Especially, this effect plays a crucial role in the temperature dependence of the contribution of the spin waves. It is proportional to T⁵ and T² at the temperatures lower and higher, respectively, than the gap energy. At high temperatures the resistivity is significantly suppressed from that calculated by using RPA results for the spin fluctuations and can have a tendency towards saturation.