Abstract
The Auger 1 lifetime expression for degenerate n-type (Hg 1−xCd x)Te has been derived by replacing the Fermi-Dirac distribution functions for the pair of Auger collision electrons with step functions. The lifetime is calculated as a function of carrier concentration, n 0 for several values of energy gap and temperature using a non-parabolic band structure. We find that for strong degeneracy, the lifetime, τ AlsuD varies as n 0 −γ where 0.7 ≲ γ≲ 1 and that γ is dependent upon the energy gap. The relatively slow dependence of τ Al D upon n 0, compared to the non-degenerate case ( τ Al ND ∼ 1 n 0 2 ) is due to the dependence of τ Al on the threshold energy which for the degenerate case is a linear function of the Fermi energy, hence, a function of n 0.
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