### Abstract

The total scattering rate and the transition probability for electron-phonon interaction in 1-D and 2-D semiconductor materials are calculated in taking into account the finite dimensions of the structure. Although noticeable, size effects on the scattering rate are generally small, with more pronounced features for 1-D structures than for 2-D structures. For 2-D layers, our theory agrees with recent experimental results whereas it contradicts the previous theory predicting large size effects and mass-independent electron-phonon scattering rates. In 1-D structures singularities in the phonon emission rate appear as a natural consequence of the 1-D density of states. However, for high energy the 1-D emission rate is found smaller than the corresponding 3-D rate. An additional consequence of the confinement is the quenching of the phonon absorption rate.

Original language | English (US) |
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Pages (from-to) | 2850-2855 |

Number of pages | 6 |

Journal | Journal of Applied Physics |

Volume | 56 |

Issue number | 10 |

DOIs | |

State | Published - Dec 1 1984 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)