Technologies for a transistor with a thin-film ferroelectric gate dielectric are disclosed. In the illustrative embodiment, a transistor has a thin layer of scandium aluminum nitride (ScxAl1-xN) ferroelectric gate dielectric. The channel of the transistor may be, e.g., gallium nitride or molybdenum disulfide. In one embodiment, the ferroelectric polarization changes when voltage is applied and removed from a gate electrode, facilitating switching of the transistor at a lower applied voltage. In another embodiment, the ferroelectric polarization of a gate dielectric of a transistor changes when the voltage is past a positive threshold value or a negative threshold value. Such a transistor can be used as a one-transistor memory cell.