Phase stabilities of Hf-Si-O and Zr-Si-O have been studied with first-principles and thermodynamic modeling. From the obtained thermodynamic descriptions, phase diagrams pertinent to thin film processing were calculated. We found that the relative stability of the metal silicates with respect to their binary oxides plays a critical role in silicide formation. It was observed that both the HfO2/Si and ZrO2/Si interfaces are stable in a wide temperature range and silicide may form at low temperatures, partially at the HfO2/Si interface. c 2018 Elsevier Ltd. All rights reserved. thin films; Silicides; thermodynamics; CALPHAD; first-principle electron theoryThe thickness of SiO 2 as a gate oxide material in advanced complementary metal oxide semiconductor (CMOS) integrated circuits has continuously decreased and reached the current processing limits [1]. Alternative materials with higher dielectric constants, such as HfO 2 and ZrO 2 , are considered as candidates to replace SiO 2 for further improvement of their performance [2]. However, during the thin film deposition or the subsequent rapid thermal annealing, oxides, silicates, and silicides may form at the interface since most high-k materials are metal oxides [3,4]. Among those interfacial phases, silicides are detrimental to capacitor performance due to their metallic behavior [5]. In this regard, thermodynamic stability calculations and experimental results have shown that the interface between HfO 2 and Si is found to be stable with respect to the formation of silicides [4]. On the other hand, the ZrO 2 /Si interface was found to be unstable around 1000K, which is in contradiction to the calculation by Hubbard and Schlom [2]. It was also observed that the Hf-silicide forms upon decomposition of HfO 2 in low oxygen partial pressures [5,6,7,8] and HfSiO 4 suppresses Hf-silicide formation [9].Although the phase stabilities in the Hf-Si-O and Zr-Si-O systems are important, comprehensive thermodynamic explanations are not yet available. In this paper, based on the recently developed thermodynamic descriptions of the Hf-Si-O[10] and Zr-Si-O systems with first-principles calculations and thermodynamic CALculation of PHAse Dia- * Corresponding author. Corresponding author.Email address: dus136@psu.edu (Dongwon Shin).
grams (CALPHAD)modeling[11], various phase diagrams pertinent to thin film processing are investigated.In the CALPHAD approach, the Gibbs energies of individual phases in a system are evaluated from the existing experimental data with the so-called sublattice model based on the crystal structures. The Gibbs energies of a higher-order system can be readily extrapolated from the lower-order systems, and any new phases of the higherorder system can be introduced. However, it is not always possible to have enough experimental data for thermodynamic modeling of a system[2] so that theoretical calculations, such as first-principles calculation results, can be used as supplementary experimental data. The Hf-Si-O system was recently modeled with first-pr...