A high-electron-mobility semiconductor device includes: a buffer region having first, second and third cross-sections forming a stepped lateral profile, the first cross-section being thicker than the third cross-section and comprising a first buried field plate disposed therein, the second cross-section interposed between the first and third cross-sections and forming oblique angles with the first and third cross-sections; and a barrier region of substantially uniform thickness extending along the stepped lateral profile of the buffer region, the barrier region being separated from the first buried field plate by a portion of the buffer region. The buffer region is formed by a first semiconductor material and the barrier region is formed by a second semiconductor material. The first and second semiconductor materials have different band-gaps such that an electrically conductive channel including a two-dimensional charge carrier gas arises at an interface between the buffer and barrier regions due to piezoelectric effects.