Analysis of thermal instability in multi-finger power AlGaAs/GaAs HBT´s

A new theory is developed in this paper to explain the collapse of current gain in multi-finger power AlGaAs/GaAs Heterojunction Bipolar Transistors (HBT´s). The reasons behind this unwanted phenomenon are fully clarified using a simple model to investigate the thermo-electrical interaction between the fingers. The existence of multi-value equilibrium points in model´s constitutive equations is shown to be the necessary condition for the collapse of current gain to appear. For a N-finger device, N different patterns of collapse exist. The criterion to select the global stable pattern is given. The method has been used to predict the collapse in AlGaAs/GaAs HBT´s and the agreement is excellent. The method also predicts that the collapse can happen far earlier than is normally expected in multi-finger high-power devices. The influence of ballasting resistance and thermal resistance is also investigated