A semiconductor device includes a semiconductor-on-insulator substrate having an insulator layer, and at least one silicon germanium (SiGe) fin having a superlattice structure. The SiGe fin is formed on an upper surface of the insulator layer. A gate stack is formed on an upper surface of the at least one silicon germanium fin. The gate stack includes first and second opposing spacers defining a gate length therebetween. First and second epitaxial source/drain structures are formed on the insulator layer. The first and second epitaxial source/drain structures extend beneath the spacer to define a silicon germanium gate channel beneath the gate stack.