The exciton many-body theory extended to any kind of
composite bosons |
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Authors: | M Combescot O Betbeder-Matibet F Dubin |
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Institution: | (1) Institut des NanoSciences de Paris, Université Pierre et Marie Curie-Paris 6, Université Denis Diderot-Paris 7, CNRS, UMR 7588, Campus Boucicaut, 140 rue de Lourmel, 75015 Paris, France;(2) Institute for Experimental Physics, University of Innsbruck, Technikerstr. 25, 6020 Innsbruck, Austria |
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Abstract: | We have recently constructed a many-body theory for composite excitons, in
which the possible carrier exchanges between N excitons can be treated
exactly through a set of dimensionless “Pauli scatterings” between two
excitons. Many-body effects with free excitons turn out to be rather
simple because these excitons are the exact one-pair
eigenstates of the semiconductor Hamiltonian, in the absence of localized
traps. They consequently form a complete orthogonal basis for one-pair
states. As essentially all quantum particles known as bosons are
composite bosons, it is highly desirable to
extend this free exciton many-body theory to other kinds of
“cobosons” — a contraction for composite bosons — the physically
relevant ones being possibly not the exact one-pair eigenstates of
the system Hamiltonian. The purpose of this paper is
to derive the “Pauli scatterings” and the “interaction scatterings” of
these cobosons in terms of their wave functions and the interactions
which exist between the fermions from which they are
constructed. It is also explained how to calculate many-body effects in
such a very general composite boson system. |
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Keywords: | 71 35 -y Excitons and related phenomena 05 30 Ch Quantum ensemble theory 05 30 Jp Boson systems |
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