Exchange-induced splitting of exciton energy levels in quantum wires

Effects of the electron-hole exchange interaction on excitons in one-dimensional quantum wires are studied theoretically by performing a simplified calculation with a scaling argument. It is shown that the exchange parameters are drastically enhanced in narrow quantum wires compared to the bulk values. As expected, the variation of the exchange-induced splitting as a function of the wire size has the same qualitative behavior as those in comparable two-dimensional quantum wells but with much higher magnitudes.