First-principles study of oxygen vacancy defects in orthorhombic Hf$_{0.5}$Zr$_{0.5}$O$_2$/SiO$_2$/Si gate stack

TL;DR

This study uses first-principles calculations to analyze oxygen vacancy defects in a specific ferroelectric Hf$_{0.5}$Zr$_{0.5}$O$_2$/SiO$_2$/Si gate stack, revealing their formation, stability, and role in charge trapping, which impacts device reliability.

Contribution

It constructs a stable atomic model of the orthorhombic Hf$_{0.5}$Zr$_{0.5}$O$_2$/SiO$_2$/Si gate stack and analyzes defect formation energies and charge transition levels, a first for this structure.

Findings

Oxygen vacancies are more favorable to form than other defects.

Defect charge transition levels are near the Si band edges.

Oxygen vacancies contribute to charge trapping in Si FeFET.

Abstract

The gate defect of the ferroelectric HfO$_2$-based Si field-effect transistor (Si FeFET) plays a dominant role in its reliability issue. The first-principles calculations are an effective method for the atomic-scale understanding of gate defects. However, the first-principles study on the defects of FeFET gate stacks, i.e., metal/orthorhombic-Hf$_{0.5}$Zr$_{0.5}$O$_2$/SiO$_2$/Si structure, has not been reported so far. The key challenge is the construction of metal/orthorhombic-Hf$_{0.5}$Zr$_{0.5}$O$_2$/SiO$_2$/Si gate stack models. Here, we use the Hf$_{0.5}$Zr$_{0.5}$O$_2$(130) high-index crystal face as the orthorhombic ferroelectric layer and construct a robust atomic structure of the orthorhombic-Hf$_{0.5}$Zr$_{0.5}$O$_2$/SiO$_2$/Si gate stack without any gap states. Its high structural stability is ascribed to the insulated interface. The calculated band offsets show that this gate structure is of the type-I band alignment. Furthermore, the formation energies and charge transition levels (CTLs) of defects reveal that the oxygen vacancy defects are more favorable to form compared with other defects such as oxygen interstitial and Hf/Zr vacancy, and their CTLs are mainly localized near the Si conduction band minimum and valence band maximum, in agreement with the reported experimental results. The oxygen vacancy defects are responsible for charge trapping/de-trapping behavior in Si FeFET. This work provides an insight into gate defects and paves the way to carry out the first-principles study of ferroelectric HfO$_2$-based Si FeFET.