Abstract

The dielectric matrix $\ensuremath{\epsilon}(\stackrel{\ensuremath{\rightarrow}}{\mathrm{q}}+\stackrel{\ensuremath{\rightarrow}}{\mathrm{G}}, \stackrel{\ensuremath{\rightarrow}}{\mathrm{q}}+{\stackrel{\ensuremath{\rightarrow}}{\mathrm{G}}}^{\ensuremath{'}})$ of a semiconductor is computed in the pseudopotential scheme. The result is applied to the calculation of the phonon frequencies in the [100] direction of Si. The presence of off-diagonal dielectric terms introduces long-range forces and leads to real TA frequencies, thus avoiding the necessity of introducing explicitly a bond-charge model.

Keywords

PseudopotentialDielectricPhononPhysicsCondensed matter physicsSemiconductorSiliconMatrix (chemical analysis)Charge (physics)DiagonalMaterials scienceQuantum mechanicsOptoelectronicsMathematics

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Publication Info

Year
1972
Type
article
Volume
28
Issue
24
Pages
1578-1581
Citations
31
Access
Closed

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Cite This

C. M. Bertoni, V. Bortolani, C. Calandra et al. (1972). Dielectric Matrix and Phonon Frequencies in Silicon. Physical Review Letters , 28 (24) , 1578-1581. https://doi.org/10.1103/physrevlett.28.1578

Identifiers

DOI
10.1103/physrevlett.28.1578