Modeling study of ultrathin gate oxides using direct tunneling current and capacitance-voltage measurements in MOS devices

Using both quantum mechanical calculations for the silicon substrate and a modified WKB approximation for the transmission probability, direct tunneling currents across ultra-thin gate oxides of MOS structures have been modeled for electrons from the inversion layers in p-type Si substrates. The modeled direct tunneling currents have been compared to experimental data obtained from nMOSFET´s with direct tunnel gate oxides. Excellent agreement between the model and experimental data for gate oxides as thin as 1.5 nm has been achieved. Advanced capacitance-voltage techniques have been employed to complement direct tunneling current modeling and measurements. With capacitance-voltage (C-V) techniques, direct tunneling currents can be used as a sensitive characterization technique for direct tunnel gate oxides. The effects of both silicon substrate doping concentration and polysilicon doping concentration on the direct tunneling current have also been studied as a function of applied gate voltage