Recombination of Electrons and Donors inn-Type Germanium

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Abstract
A calculation is given of the recombination cross section of an electron having a spherical effective mass and a donor impurity whose bound states can be described by a hydrogenic model. The recombination takes place with an initial capture of the electron in an excited state of the donor center followed by successive transitions to lower lying states. Each of these processes takes place with emission of a phonon. The calculated cross section agrees with the experimental one within a factor of the order of unity. The agreement between the temperature dependence of the calculated and the experimental recombination cross sections is good. Also we obtain a small but significant dependence of the recombination cross section on the binding energy of the ground state of the donor.