Jj. Liou et al., A PHYSICS-BASED, ANALYTICAL HETEROJUNCTION BIPOLAR-TRANSISTOR MODEL INCLUDING THERMAL AND HIGH-CURRENT EFFECTS, I.E.E.E. transactions on electron devices, 40(9), 1993, pp. 1570-1577
We present a detailed, analytical model to predict the dc and high-fre
quency performance of AlGaAs/GaAs graded heterojunction bipolar transi
stors (HBT's). The model is developed based on the relevant device phy
sics such as current-induced base pushout and thermal effect. The curr
ent gain, cutoff frequency, and maximum frequency versus the collector
current density, which is a function of the applied voltage as well a
s the corresponding temperature in the HBT, are calculated. Our result
s suggest that the conventional HBT model, which assumes the HBT tempe
rature is the same as that of the ambient, can overestimate the three
figures of merit considerably when the collector current density is hi
gh. Furthermore, it is shown that the present model correctly explains
the experimentally observed HBT high-current behavior like the rapid
fall-off of the current gain and cutoff frequency. The model predictio
ns compare favorably with the results obtained from a model which solv
es numerically the Poisson and continuity equations coupled with the l
attice heat equation.