## Abstract

The carrier transition rates and subband populations for a GaAs/AlGaAs quantum cascade laser operating in the mid-infrared frequency range are calculated by solving the rate equations describing the electron densities in each subband self-consistently. These calculations are repeated for a range of temperatures from 20 to 300 K. The lifetime of the upper laser level found by this self-consistent method is then used to calculate the gain for this range of temperatures. At a temperature of 77 K, the gain of the laser is found to be 34 cm^{-1}/(kA/cm^{-2}), when only electron-longitudinal-optical phonon transitions are considered in the calculation. The calculated gain decreases to 19.6 cm^{-1}(kA/cm^{-2}) when electron-electron transition rates are included, thus showing their importance in physical models of these devices. Further analysis shows that thermionic emission could be occurring in real devices.

Original language | English |
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Pages (from-to) | 3084-3090 |

Number of pages | 7 |

Journal | Journal of Applied Physics |

Volume | 89 |

Issue number | 6 |

Early online date | 1 Mar 2001 |

DOIs | |

Publication status | Published - 15 Mar 2001 |

Externally published | Yes |

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