A field-effect transistor (FET) includes a fin, an insulator region, and at least one gate. The fin has a doped first region, a doped second region, and an interior region between the first region and the second region. The interior region is undoped or more lightly doped than the first and second regions. The interior region of the fin is formed as a superlattice of layers of first and second materials alternating vertically. The insulator layer extends around the interior region. The gate is formed on at least a portion of the insulator region. The insulator layer and the gate are configured to generate an inhomogeneous electrostatic potential within the interior region, the inhomogeneous electrostatic potential cooperating with physical properties of the superlattice to cause scattering of charge carriers sufficient to change a quantum property of such charge carriers to change the ability of the charge carriers to move between the first and second materials.