I. Introduction
As the scaling of metal-oxide-semiconductor field-effect transistor (MOSFET) devices continues toward sub-0.1- gate lengths, thickness values of 1.5 nm and below are required. It has been well documented that will be difficult, if not impossible, to use in this thickness regime because of a number of issues including high leakage currents and inadequate reliability [1], [2]. While the thickness at which fails is debatable, it is clear that to continue on the projected scaling timeline a suitable replacement for must be found. Much attention is being paid to materials that have higher dielectric constants, such as: , , , , , , , and Barium Strontium Titanate (BST) [3]–[17]. It is still unclear, however, which high-k dielectric will ultimately replace .