A method for fabricating a semiconductor device, includes providing a strained silicon on insulator (SSOI) structure, the SSOI structure comprises, a dielectric layer disposed on a substrate, a silicon germanium layer disposed on the dielectric layer, and a strained semiconductor material layer disposed directly on the silicon germanium layer, forming a plurality of fins on the SSOI structure, forming a gate structure over a portion of at least one fin in a nFET region, forming a gate structure over a portion of at least one fin in a pFET region, removing the gate structure over the portion of the at least one fin in the pFET region, removing the silicon germanium layer exposed by the removing, and forming a new gate structure over the portion of the at least one fin in the pFET region, such that the new gate structure surrounds the portion on all four sides.