A comprehensive analytical and numerical model of polysilicon emitter contacts in bipolar transistors

A comprehensive model-both analytical and numerical-is proposed as a tool to analyze heavily doped emitters of transistors with polycrystalline silicon (polysilicon) contacts. The grains and grain boundaries of polysilicon, the interfacial oxide-like layer between polycrystalline and monocrystalline silicon are lumped respectively into "boxes" in which the drift minority current component is neglected. The mobility reduction of carriers in polysilicon on the whole is explicitly attributed to the additional scattering due to the lattice disorder in the grain boundaries and the carrier tunneling through the interface. The effect of the poly-contacts on transistors can be modeled as a reduced surface recombination velocity for minority carriers in combination with a series emitter resistance for majority carriers. Furthermore, by characterizing the monocrystalline emitter with an effective recombination velocity, the effect of the polysilicon layer on the current gain can be analyzed analytically. Computer simulation is used to verify the assumptions of the model formulation. Using published data [1], the analytical and numerical approaches are compared and it is shown that for these devices a unique combination of physical parameters are needed for the model to fit the data.