  We use semiclassical Monte Carlo approach along with spin density matrix
calculations to model spin polarized electron transport. The model is applied
to germanium nanowires and germanium two dimensional channels to study and
compare spin relaxation between them. Spin dephasing in germanium occurs
because of Rashba Spin Orbit Interaction (structural inversion asymmetry) which
gives rise to D'yakonov-Perel(DP) relaxation. In germanium spin flip scattering
due to Elliot-Yafet(EY) mechanism also leads to spin relaxation. The spin
relaxation tests for both 1-D and 2-D channels are carried out at different
values of temperature and driving electric field and the variation in spin
relaxation length is recorded. Spin relaxation length in a nanowire is found to
be much higher than that in a 2-D channel due to suppression of DP relaxation
in a nanowire. At lower temperatures the spin relaxation length increases. This
suggests that spin relaxation in germanium occurs slowly in a 1-D channel
(nanowires) and at lower temperatures. The electric field dependence of spin
relaxation length was found to be very weak.
