A method of forming a semiconductor device that includes forming a material stack on a semiconductor substrate, the material stack including a first dielectric layer on the substrate, a second dielectric layer on the first dielectric layer, and a third dielectric layer on the second dielectric layer, wherein the second dielectric layer is a high-k dielectric. Openings are formed through the material stack to expose a surface of the semiconductor substrate. A semiconductor material is formed in the openings through the material stack. The first dielectric layer is removed selectively to the second dielectric layer and the semiconductor material. A gate structure is formed on a channel portion of the semiconductor material. In some embodiments, the method may provide a plurality of finFET or trigate semiconductor device in which the fin structures of those devices have substantially the same height.