The invention relates to a method of manufacturing a stacked structure comprising a layer of
semiconductor material bonded to a substrate, comprising: the fabrication of a heterostructure by: forming an intermediate layer made of a two-dimensional material on a growth substrate (1); shaping the intermediate layer with a plurality of openings to form a shaped intermediate layer (3); growing a
semiconductor material on the shaped intermediate layer (3) by epitaxial
lateral overgrowth to form a continuous epitaxial layer (4) on the shaped intermediate layer; the formation of a first
assembly by bonding the heterostructure to a manipulation substrate (6), the continuous epitaxial layer being located at the bonding interface;the separation of the first set at the level of the modeled intermediate layer (3) so as to obtain a second set resulting from the transfer of the continuous epitaxial layer (4) from the heterostructure to the manipulation substrate (6). Figure for the abstract: Figure 7;