A thermochemical model describing the relationship between the dielectric breakdown field (E BD ) and dielectric constant(k) of high-k dielectric has been calibrated for Hf x Al 1−x O y alloys with k values from 7 to 24. Metal-insulatormetal (MIM) capacitors with Hf x Al 1−x O y high-k dielectric films were used to extract the intrinsic time zero dielectric breakdown characteristics. Breakdown field values of these Hf x Al 1−x O y alloys were found to decrease as a function of k −0.77 while the electric field acceleration parameter, γ , increases as a function of k 1.37 . Using the thermochemical model calibrated with the experimental data, a Hf x Al 1−x O y 10-year lifetime was extrapolated as a function of the dielectric constant to provide insight for future dielectric development.
IndexTerms-Al 2 O 3 , breakdown field, dielectric constant, HfO 2 , lifetime, MIM capacitor, thermochemical model, time-dependent dielectric breakdown (TDDB).