P. Ashburn et al., ELECTRICAL DETERMINATION OF BANDGAP NARROWING IN BIPOLAR-TRANSISTORS WITH EPITAXIAL SI, EPITAXIAL SI1-XGEX, AND ION-IMPLANTED BASES, I.E.E.E. transactions on electron devices, 43(5), 1996, pp. 774-783
The apparent bandgap narrowing in bipolar transistors with epitaxial S
i, epitaxial SiGe and ion implanted bases is measured from the tempera
ture dependence of the collector current density J(c)(T). A graph of l
nJ(c)(T)/J(o)(T) as a function of reciprocal temperature is plotted, a
nd the apparent bandgap narrowing obtained from the slope. For epitaxi
al bare transistors, in which the boron base profiles are abrupt, a li
near J(c)(T)/J(o)(T) characteristic is obtained, which allows the unam
biguous determination of the apparent bandgap narrowing, The measured
values for epitaxial Si bases are in good agreement with the theoretic
al model of Klaassen over a range of base doping concentrations. For S
i0.88Ge0.12 and Si0.87Ge0.13 epitaxial base heterojunction bipolar tra
nsistors (HBT's), values of bandgap narrowing of 119 and 121 meV are o
btained due to the presence of the Ge, which can be compared with theo
retical values of 111 and 118 meV. For the implanted base transistor,
the J(c)(T)/J(o)(T) characteristic is not linear, and its slope is lar
ger at high temperatures than at low, This behavior is explained by th
e presence of a tail on the ion implanted profile, which dominates the
Gummel number of the transistor at low temperatures.