Electron-hole diagrams versus exciton diagrams: the simplest problem on interacting excitons |
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Authors: | O Betbeder-Matibet M Combescot |
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Institution: | (1) GPS, Université Denis Diderot et Université Pierre et Marie Curie, CNRS, Tour 23, 2 place Jussieu, 75251 Paris Cedex 05, France, FR |
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Abstract: | We study the interaction of an exciton with a distant metal, which is the simplest problem on interacting excitons: The semiconductor
and metal electrons being “different” species, we do not have to worry about the tricky consequences of Pauli exclusion between
identical carriers, which appear in any other problem on interacting excitons. We show how the exciton absorption, in the
presence of semiconductor-metal interaction, can be derived in a very simple and transparent way from an exciton diagram procedure,
provided that we use the appropriate exciton-metal interaction vertex, which contains the scattering from an exciton state
to another exciton state under a Coulomb excitation. We also show that the resolution of this problem using standard electron-hole
diagrams is dreadfully complicated at the lowest order in the semiconductor-metal interaction already, preventing a full calculation
of the exciton-metal coupling from this usual technique.
Received 26 February 2001 |
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Keywords: | PACS 71 35 -y Excitons and related phenomena |
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