Alternative for the quantum inductance model in double-barrier resonant-tunneling

A theoretical justification for the phenomenological equivalent circuit approach in Double-Barrier Resonant Tunneling (DBRT) is given. Starting from the combined Schrödinger and Poisson equations for the static behaviour of the DBRT diode, we arrive through a small signal analysis at a model for the dynamics. This model corresponds to an equivalent circuit consisting of two linked RC-sections. The simple equivalent circuits in which the DBRT structure is represented by a capacitor with parallel resistor, as well as more complicated circuits including a quantum inductance can all be considered special cases of our model. Furthermore, by studying the regions of stability in the phase diagrams resulting from our model, the effect of a parallel capacitor on the stability is investigated.