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Phys. Rev. B 5, 3101–3110 (1972)

Frequency- and Wave-Vector-Dependent Dielectric Function for Silicon

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John P. Walter* and Marvin L. Cohen
Department of Physics, University of California and Inorganic Materials Research Division, Lawrence Radiation Laboratory, Berkeley, California 94720

Received 15 November 1971; published in the issue dated 15 April 1972

The frequency- and wave-vector-dependent complex dielectric function ε(q⃗,ω) is calculated for silicon. The energy eigenvalues and eigenvectors which are used have been obtained from energy-band calculations based on the empirical pseudopotential method. Explicit results are given in the [100] direction in the range 0≤q≤(2π/a) and 0≤ℏω≤24 eV. A comparison is made between the present results and the results of a calculation of ε(q,ω) for a free-electron gas in the random-phase approximation.

© 1972 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.5.3101
DOI:
10.1103/PhysRevB.5.3101
PACS:

*Present address: Department of Physics, Brandeis University, Waltham, Mass. 02154.

 
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