Dielectric function of semiconductor superlattice
Abstract
We present a calculation of the dielectric function for semiconductor GaAs/Ga(1-x)Al(x)As superlattice taking account of the extension of the electron envelope function and the difference of both the dielectric constant and width between GaAs and Ga(1-x)Al(x)As layers. In the appropriate limits, our results exactly reduce to the well-known results of the quasi two-dimensional electron gas obtained by Lee and Spector and of the period array of two-dimensional electron layers obtained by Das Sarma and Quinn. By means of the dielectric function of the superlattice, the dispersion relation of the collective excitation and the screening property of semiconductor superlattice are discussed and compared with the results of the quasi two-dimensional system and with the results of the periodic array of the two-dimensional electron layers.
- Publication:
-
Unknown
- Pub Date:
- August 1990
- Bibcode:
- 1990dfss.book.....Q
- Keywords:
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- Aluminum Arsenides;
- Dielectric Properties;
- Electron Gas;
- Gallium Arsenides;
- Semiconductors (Materials);
- Superlattices;
- Permittivity;
- Wave Dispersion;
- Solid-State Physics