  Transverse magnetoresistance in a ferromagnetic/nonmagnetic/ferromagnetic
trilayer originated from charge-spin conversion by anomalous Hall effect is
investigated theoretically. Solving the spin diffusion equation in bulk and
using the spin-dependent Landauer formula at the ferromagnetic/nonmagnetic
interface, an analytical formula of the transverse resistivity is obtained. The
charge-spin conversion by the anomalous Hall effect contributes to the
magnetoresistance in a manner proportional to the square of the spin anomalous
Hall angle. The angular dependence of the magnetoresistance is basically
identical to that of planar Hall effect, but has an additional term which
depends on the relative angle of the magnetizations in two ferromagnets.
