A semiconductor memory comprises a switching device and a charge-storage device disposed at the upper and lower sides, respectively, of each of semiconductor islands. The islands are formed on a semiconductor substrate that is completely isolated from the semiconductor substrate by an insulator. The switching device and charge-storage device are substantially the same width. The memory cell structure is extremely small. The cell structure is highly resistant to alpha-particles and is formed self-aligned. During manufacture, the SiO.sub.2 island is oxidized adjacent its lower end to insulate the island from the substrate.