Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2009-02-09
Phys. Rev. B vol. 80, 155306 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Theoretical paper on polariton-polariton scattering in planar microcavities. The new version contains a slightly modified abst
Scientific paper
We apply the fermion commutation technique for composite bosons to polariton-polariton scattering in semiconductor planar microcavities. Derivations are presented in a simple and physically transparent fashion. A procedure of orthogonolization of the initial and final two-exciton state wavefunctions is used to calculate the effective scattering matrix elements and the scattering rates. We show how the bosonic stimulation of the scattering appears in this full fermionic approach whose equivalence to the bosonization method is thus demonstrated in the regime of low exciton density. We find an additional contribution to polariton-polariton scattering due to the exciton oscillator strength saturation, which we analyze as well. We present a theory of the polariton-polariton scattering with opposite spin orientations and show that this scattering process takes place mainly via dark excitonic states. Analytical estimations of the effective scattering amplitudes are given.
D'Andrea Alessandro
Glazov M. M.
Kavokin Alexey V.
Malpuech Guillaume
Ouerdane Henni
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