A method of forming a semiconductor device includes: providing a patterned structure comprising a silicon substrate and dielectric stacks deposited on the silicon substrate, the dielectric stacks forming trenches exposing a plurality of surface portions of the substrate within the trenches; forming one or more epitaxial buffer layers within the trenches on the exposed surface portions of the substrate; and growing a semiconductor material on the epitaxial buffer layer that is the furthest away from the substrate; wherein each of the one or more epitaxial buffer layers and the semiconductor material has less than about 3% lattice mismatch to the layer immediately beneath the one or more epitaxial buffer layer and the semiconductor material.