Low-temperature impurity breakdown is investigated theoretically on th
e basis of a model that takes into account self-consistently the charg
e-exchange of the excited state of the impurities and all electron sca
ttering processes that affect the impact-ionization rate. The analysis
includes impact ionization of the ground and excited states of the im
purities, impact ionization of neutral impurities, electron-electron c
ollisions, and scattering of electrons by phonons. Numerical calculati
ons are performed for n-GaAs. It is shown that there are three mechani
sms which lead to a negative differential resistance and under real co
nditions can form an S-shaped section of the current-voltage character
istic. The first mechanism is due to the decrease in the electron trap
ping coefficient of shallow impurities with increasing frequency of in
terelectronic collisions, when they start to control the distribution
function near the percolation level. This mechanism initiates instabil
ity at low currents. The second mechanism is due to the decrease in th
e electron energy losses with increasing current as a result of the we
akening of the inelastic scattering by impurities as the impurities ar
e ionized. The third mechanism is the well-known overheating instabili
ty. (C) 1996 American Institute of Physics.