The present invention relates to methods for forming dielectric layers on a substrate, such as in an integrated circuit. In one aspect of the invention, a thin interfacial layer is formed (30). The interfacial layer is preferably an oxide layer and a high-k material is preferably deposited on the interfacial layer by a process that does not cause substantial further growth of the interfacial layer. For example, water vapor may be used as an oxidant source during high-k deposition at less than or equal to about 300 DEG C.