Abstract:
A microscopic approach to the description of exciton – polariton in semiconductors
is presented which is based on exact results obtained by means of functional methods
of field theory. It is shown that the polariton energies are given by the positions of
poles of the two-particle Green function for particle-hole scattering due to the Coulomb
interaction and the electron-hole exchange. By using the Legendre transformations, an
equation of the Bethe–Salpeter type for the two-particle Green function is derived
from the Schwinger equations. The polariton energies and the dielectric constant are
obtained by means of solving the Bethe–Salpeter equation. A nontrivial normalization
condition enables one to relate the polariton energy and momentum with the Minkowski
energy-momentum tensor of the electromagnetic field in dispersive medium.
Citation:
G. F. Glinskii, Z. Koinov, “Functional formulation of microscopic theory of exciton polaritons”, TMF, 70:3 (1987), 358–371; Theoret. and Math. Phys., 70:3 (1987), 252–261
\Bibitem{GliKoi87}
\by G.~F.~Glinskii, Z.~Koinov
\paper Functional formulation of microscopic theory of exciton polaritons
\jour TMF
\yr 1987
\vol 70
\issue 3
\pages 358--371
\mathnet{http://mi.mathnet.ru/tmf4683}
\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 70
\issue 3
\pages 252--261
\crossref{https://doi.org/10.1007/BF01041002}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1987K573300004}
Linking options:
https://www.mathnet.ru/eng/tmf4683
https://www.mathnet.ru/eng/tmf/v70/i3/p358
This publication is cited in the following 7 articles:
M. F. C. Martins Quintela, N. M. R. Peres, T. Garm Pedersen, “Tunable nonlinear excitonic optical response in biased bilayer graphene”, Phys. Rev. B, 110:8 (2024)
P. A. Krachkov, I. S. Terekhov, “On the Problem of Bound States of Electron and Hole in Transition Metal Dichalcogenides”, J. Exp. Theor. Phys., 136:2 (2023), 197
P. A Krachkov, I. S Terekhov, “K zadache o svyazannom sostoyanii elektrona i dyrki v dikhal'kogenidakh perekhodnykh metallov”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 163:2 (2023), 227
O. S. Komkov, “Infrared photoreflectance of III–V semiconductor materials (review)”, Phys. Solid State, 63:8 (2021), 1181–1204
N. S. Averkiev, G. M. Savchenko, R. P. Seisyan, “Elastic scattering of exciton polaritons”, Phys. Solid State, 57:2 (2015), 290
O. S. Komkov, G. F. Glinskii, A. N. Pikhtin, Y. K. Ramgolam, “Excitonic effects and Franz–Keldysh oscillations in photoreflectance of ultrapure GaAs epilayers”, Physica Status Solidi (a), 206:5 (2009), 842
G. F. Glinskii, Z. G. Koinov, “Polariton Theory of Light Propagation in Crystals I. Connection between the Microscopic Theory of Exciton—Phonon Polaritons and Maxwell Equations”, Physica Status Solidi (b), 155:2 (1989), 501
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