This invention is directed toward a method for manufacturing a semiconductor device with a heterostructure comprises covering a semiconductor structure with a seed layer structure; forming one or more separated circularly shaped openings in the seed layer structure to expose the semiconductor structure therein, and leave the seed layer structure outside the one or more separated circularly shaped openings; forming an insulator layer thereon; etching the obtained structure to (i) expose at least a portion of the seed layer structure, such that the exposed at least portion of the seed layer structure surrounds each of the one or more separated circularly shaped openings, and (ii) optionally expose the semiconductor structure, in the one or more separated circularly shaped openings; and epitaxially growing a semiconductor layer from the exposed at least portion of the seed layer structure, firstly mainly vertically and then into each of the one or more separated circularly shaped openings until the epitaxially grown semiconductor layer coalesces with the insulator layer or the semiconductor structure in each of the one or more separated circularly shaped openings.