A plurality of fin structures containing, from bottom to top, a non-doped semiconductor portion and a second doped semiconductor portion of a first conductivity type, extend upwards from a surface of a first doped semiconductor portion of the first conductivity type. A trapping material (e.g., an electron-trapping material) is present along a bottom portion of sidewall surfaces of each non-doped semiconductor portion and on exposed portions of each first doped semiconductor portion. Functional gate structures straddle each fin structure. Metal lines are located above each fin structure and straddle each functional gate structure. Each metal line is orientated perpendicular to each functional gate structure and has a bottommost surface that is in direct physical contact with a portion of a topmost surface of each of the second doped semiconductor portions.