ON THE ORIGIN OF TUNNELING CURRENTS IN SCALED SILICON DEVICES

Tunneling generation becomes increasingly important in modern devices both as a source of leakage and for special applications. Mostly, the observed phenomena are attributed to band-to-band tunneling, although from early investigations of Esaki diodes it is well known that at lower field strengths trap-assisted tunneling is responsible for non-ideal IV-characteristics. In this paper we apply microscopic models of trap-assisted and band-to-band tunneling, which were derived from first-principle quantum-mechanical calculations, in a general multi-device simulator. Special simplified versions of the models were developed for the purpose of fast numerical computations. We investigate pn-junctions with different doping profiles to reveal the relative contribution of the two tunneling mechanisms. Simulated currents as function of voltage and temperature are presented for each individual process varying the basic physical parameters. It turns out that the slope of reverse IV-characteristics dominated by trap-assisted tunneling is similar to those which are determined by band-to-band tunneling, if the localized state of the recombination center is only weakly coupled to the lattice. In the model such a slope is produced by field-enhancement factors of the Shockley-Read-Hall lifetimes expressing the probability of tunneling into (or out of) excited states of the electron-phonon system. The temperature dependence of these field-enhancement factors compensates to a certain extent the expected strong temperature effect of the Shockley-Read-Hall process. The latter remains larger than the temperature variation of phonon-assisted band-to-band tunneling, but not as much as often stated. Consequently, the slope of the IV-characteristics and their temperature dependence are not the strong criteria to distinguish between trap-assisted and band-to-band tunneling. The origin of tunnel currents in silicon rather depends on the sum of physical conditions: junction gradient, nature and concentration of defects, temperature and voltage range.