Plasmon-phonon interference in CdS

J. F. Scott, T. C. Damen, J. Ruvalds, A. Zawadowski

Research output: Contribution to journalArticle

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Abstract

The Raman spectra of plasmons in In- and Ga-doped cadmium sulfide are shown to consist of very asymmetric peaks. A prominent interference shape is exhibited which is very similar to that manifested by anharmonic phonon interactions between two optical phonons, as in AlPO4 and BaTiO3. In the present case, the interaction between the heavily damped plasmon mode and one longitudinal optical phonon is due to the Coulomb interaction. The interference features of the Raman spectrum are related to the electronic (plasmon) and ionic (phonon) charge-density correlation functions, where the ionic charge is multiplied by a factor to include the nonionic (electronic) part of the light-phonon scattering amplitude. In other words, we treat the spectrum as due to interfering amplitudes for scattering into the plasmon state PL| via two channels: one direct, PL|α|0; and one via an intermediate LO-phonon state coupled by the Coulomb interaction, PL|Coul.|LO×LO|α|0. This calculation gives very good agreement with the observed line shape, and demonstrates the inadequacy of treating the spectrum in terms of the usual dielectric function. In the special case when the light-phonon scattering is purely ionic, however, our Green's-function calculation is shown to be equivalent to the dielectric-function formulation which includes both the plasmon and phonon contributions. A detailed comparison of our theory with the experimental spectrum yields an estimate of the relative contributions to the light-phonon scattering amplitude from electronic and ionic charges. For CdS, these contributions are found to be of the same order of magnitude, but opposite in sign.

Original languageEnglish
Pages (from-to)1295-1302
Number of pages8
JournalPhysical Review B
Volume3
Issue number4
DOIs
Publication statusPublished - 1971

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Phonon scattering
Light scattering
Coulomb interactions
interference
Raman scattering
scattering amplitude
Cadmium sulfide
Plasmons
electronics
interactions
Raman spectra
Phonons
Charge density
Green's function
cadmium sulfides
plasmons
scattering
Scattering
line shape
phonons

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Plasmon-phonon interference in CdS. / Scott, J. F.; Damen, T. C.; Ruvalds, J.; Zawadowski, A.

In: Physical Review B, Vol. 3, No. 4, 1971, p. 1295-1302.

Research output: Contribution to journalArticle

Scott, JF, Damen, TC, Ruvalds, J & Zawadowski, A 1971, 'Plasmon-phonon interference in CdS', Physical Review B, vol. 3, no. 4, pp. 1295-1302. https://doi.org/10.1103/PhysRevB.3.1295
Scott, J. F. ; Damen, T. C. ; Ruvalds, J. ; Zawadowski, A. / Plasmon-phonon interference in CdS. In: Physical Review B. 1971 ; Vol. 3, No. 4. pp. 1295-1302.
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AB - The Raman spectra of plasmons in In- and Ga-doped cadmium sulfide are shown to consist of very asymmetric peaks. A prominent interference shape is exhibited which is very similar to that manifested by anharmonic phonon interactions between two optical phonons, as in AlPO4 and BaTiO3. In the present case, the interaction between the heavily damped plasmon mode and one longitudinal optical phonon is due to the Coulomb interaction. The interference features of the Raman spectrum are related to the electronic (plasmon) and ionic (phonon) charge-density correlation functions, where the ionic charge is multiplied by a factor to include the nonionic (electronic) part of the light-phonon scattering amplitude. In other words, we treat the spectrum as due to interfering amplitudes for scattering into the plasmon state PL| via two channels: one direct, PL|α|0; and one via an intermediate LO-phonon state coupled by the Coulomb interaction, PL|Coul.|LO×LO|α|0. This calculation gives very good agreement with the observed line shape, and demonstrates the inadequacy of treating the spectrum in terms of the usual dielectric function. In the special case when the light-phonon scattering is purely ionic, however, our Green's-function calculation is shown to be equivalent to the dielectric-function formulation which includes both the plasmon and phonon contributions. A detailed comparison of our theory with the experimental spectrum yields an estimate of the relative contributions to the light-phonon scattering amplitude from electronic and ionic charges. For CdS, these contributions are found to be of the same order of magnitude, but opposite in sign.

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