A structure having application to electronic devices includes a III-V layer having high crystal quality and a low defect density on a lattice mismatched substrate. Trenches are formed in a layer of III-V semiconductor material grown on a substrate having a different lattice constant. Dielectric material is deposited within the trenches, forming dielectric regions. A portion of the layer of III-V material is removed, leaving new trenches defined by the dielectric regions. A new layer of III-V semiconductor material having reduced defect density is grown on the remaining portion of the originally deposited III-V semiconductor layer and within the trenches defined by the dielectric regions.