Method for producing a semiconductor device, including: producing, on a first region of a surface layer comprising a first semiconductor and disposed on a buried dielectric layer, a layer of a second compressive strained semiconductor along a first direction; etching a trench through the layer of the second semiconductor forming an edge of a portion of the layer of the second semiconductor oriented perpendicularly to the first direction, and wherein the bottom wall is formed by the surface layer; thermal oxidation forming in the surface layer a semiconductor compressive strained portion along the first direction and forming in the trench an oxide portion; producing, through the surface layer and/or the oxide portion, and through the buried dielectric layer, dielectric isolation portions around an assembly formed of the compressive strained semiconductor portion and the oxide portion; and wherein the first semiconductor is silicon, the second semiconductor is SiGe, and said at least one compressive strained semiconductor portion includes SiGe.