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Improved calculations of the complex dielectric constant of semiconductors

Improved calculations of the complex dielectric constant of semiconductors Expressions for the real, static part ε 1 ( 0 ) and the imaginary part ε 2 ( ω ) of the dielectric constant of semiconductors in the long-wavelength limit are obtained using the isotropic nearly-free-electron band approximation (Penn model). Earlier calculations of these functions do not satisfy the Kramers-Kronig relations and yield an excessively large result for the f -sum rule. The corrected expressions eliminate these inconsistencies. Values of the energy gap between the bonding and antibonding states are obtained for diamond, silicon, and germanium, respectively. ε 1 ( ω ) is obtained from ε 2 ( ω ) through the use of the Kramers-Kronig relation. The theoretical curves for ε 1 ( ω ) and ε 2 ( ω ) are compared with experimental results. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Improved calculations of the complex dielectric constant of semiconductors

Breckenridge, Roger A
Physical Review B , Volume 10 (6) – Sep 15, 1974
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1974 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.10.2483
Publisher site
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Abstract

Expressions for the real, static part ε 1 ( 0 ) and the imaginary part ε 2 ( ω ) of the dielectric constant of semiconductors in the long-wavelength limit are obtained using the isotropic nearly-free-electron band approximation (Penn model). Earlier calculations of these functions do not satisfy the Kramers-Kronig relations and yield an excessively large result for the f -sum rule. The corrected expressions eliminate these inconsistencies. Values of the energy gap between the bonding and antibonding states are obtained for diamond, silicon, and germanium, respectively. ε 1 ( ω ) is obtained from ε 2 ( ω ) through the use of the Kramers-Kronig relation. The theoretical curves for ε 1 ( ω ) and ε 2 ( ω ) are compared with experimental results.

Journal

Physical Review B – American Physical Society (APS)

Published: Sep 15, 1974

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