A new temperature dependent apparent bandgap narrowing model, appropri
ate for low temperature device simulations is proposed. The model is b
ased on the decomposition of apparent bandgap narrowing in equilibrium
into different contributions at 300K and on the theoretical temperatu
re dependence of each phenomenon. Specific heavy doping effects that c
an be important at low temperatures are discussed. Temperature depende
nce of apparent bandgap narrowing in equilibrium is more significant a
t high concentration of ionized impurities, where apparent bandgap nar
rowing decreases with decreasing temperature, as a consequence of temp
erature dependent degeneracy.