Weak localization corrections to conductivity of ferromagnetic systems are
studied theoretically in the case when spin-orbit interaction plays a signi
ficant role. Two cases are analyzed in detail: (i) the case when the spin-o
rbit interaction is due to scattering from impurities and (ii) the case whe
n the spin-orbit interaction results from reduced dimensionality of the sys
tem and is of the Bychkov-Rashba type. Results of the analysis show that th
e localization corrections to conductivity of ferromagnetic metals lead to
a negative magnetoresistance-also in the presence of the spin-orbit scatter
ing. Positive magnetoresistance due to weak antilocalization, typical of no
nmagnetic systems, does not occur in ferromagnetic systems. In the case of
two-dimensional ferromagnets, the quantum corrections depend on the magneti
zation orientation with respect to the plane of the system.