  We investigated the influence of n+-GaAs thickness and doping density of
GaMnAs/n+-GaAs Esaki tunnel junction on the efficiency of the electrical
electron spin injection. We prepared seven samples of GaMnAs/n+-GaAs tunnel
junctions with different n+-GaAs thickness and doping density grown on
identical p-AlGaAs/p-GaAs/n-AlGaAs light emitting diode (LED) structures.
Electroluminescence (EL) polarization of the surface emission was measured
under the Faraday configuration with external magnetic field. All samples have
the bias dependence of the EL polarization, and higher EL polarization is
obtained in samples in which n+-GaAs is completely depleted at zero bias. The
EL polarization is found to be sensitive to the bias condition for both the
(Ga,Mn)As/n+-GaAs tunnel junction and the LED structure.
