Auger recombination rate in quantum well lasers: Modification by electron-electron interaction in quasi two dimensions

In recent calculations of the Auger recombination rate in quantum well lasers, the electron-electron interaction potential is taken either as the potential for bulk electrons or an approximate form derived from it. In the present work, the exact expression valid for quasi two-dimensional electrons is given and the expected changes in the Auger rate are pointed out. The expected variation of lifetime with width of the well is then discussed and compared with the results obtained by other workers.