Abstract
From the equation of motion for electron-hole pairs, an eigenvalue equation for electronic interband transitions of a two-band model is derived. In addition to the continuum of free electron-hole pairs, its spectrum shows discrete excitonic and plasmonic lines. Applying complementary approximations to the integral kernel of the eigenvalue equation, one obtains alternatively the hydrogenic spectrum of the Wannier excitons or a transverse Frenkel exciton and a longitudinal plasmon. As regards the solution of the full eigenvalue equation, the possibility of coexistence between excitons and plasmons is established, and longitudinal-transverse splitting of the Wannier excitons is found.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Horie, C.: Prog. Theor. Phys.21, 113 (1959)
Miyakawa, T.: J. Phys. Soc. Jpn.24, 768 (1968)
Giaquinta, P., Parinello, M., Tosatti, E., Tosi, M.: J. Phys. C9, 2031 (1976)
Gunn, J., Inkson, J.: J. Phys. C12, 1049 (1979)
Haken, H.: Quantenfeldtheorie des Festkörpers. Teubner, Stuttgart (1972)
Kohn, W.: Phys. Rev.115, 809 (1959)
Heller, W., Marcus, A.: Phys. Rev.84, 809 (1951)
Sham, L., Rice, T.: Phys. Rev.144, 708 (1966)
Brinkman, W., Rice, T.: Phys. Rev. B7, 1508 (1973)
Egri, I.: J. Phys. C12, 1843 (1979)
Egri, I.: Solid State Commun.32, 1017 (1979)
Elliott, R.: Phys. Rev.108, 1384 (1957)
Ramirez, R., Falicov, L., Kimball, J.: Phys. Rev. B2, 3383 (1970)
Ehrenreich, H., Cohen, M.: Phys. Rev.115, 786 (1959)
Schütz, O., Treusch, J.: Solid State Commun.13, 1155 (1973)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Egri, I. Electronic interband transitions: Plasmons, Frenkel- and Wannier-excitons. Z. Physik B - Condensed Matter 42, 99–106 (1981). https://doi.org/10.1007/BF01319542
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01319542