Abstract
Basic concepts, within the so-called Coulomb-blockade model, of a single-molecule transistor are reviewed. Beginning with a short summary of the experimental methods, the basic model of the electron transport theory, its single-electron-transistor limit, transport through a multi-level quantum dot (molecule), and the transport through a molecule with excited (vibrational) levels are discussed. Representative experimental results are given. Theories on the interaction between tunneling electrons and the molecular vibration are briefly described.