Quantum interference phenomena in conductivity of mesoscopic ferromagnets are considered, particularly with regard to geometric phases acquired by electrons propagating through regions of spatially varying magnetization such as those caused by, for example, magnetic domain walls. Weak localization and electron-electron interaction quantum corrections to the conductivity, and universal conductance fluctuations are discussed. Experiments are proposed for multiply connected geometries that should reveal conductance oscillations with variations in the profile of the magnetization.

• Received 15 January 1998

DOI:https://doi.org/10.1103/PhysRevLett.81.3215