Kinematic interaction of exciton-polaritons in crystalline organic microcavities

4 Kinematic interaction of exciton-polaritons in crystalline organic microcavities 

The exciton-exciton and polariton-polariton kinematic interactions in a crystalline organic monolayer and in an organic microcavity have been considered in (26). The kinematic interactions in this paper are derived using for Frenkel excitons the transformation from paulions to bosons (see Ch. 3). 

For an organic crystalline monolayer it was found that the exciton-exciton kinematic interaction can be described as scattering, not by hard spheres as in 3D crystals, but as scattering by hard disks. It was shown also that, as in the case of a two-dimensional ultracold trapped atom boson gas, the excitons in a confined monolayer may behave as a dilute degenerate boson gas at low temperature. Then for a microcavity with an organic crystalline monolayer such as a resonant material the polariton-polariton kinematic interaction steming from the polariton excitonic part was derived. 

The general Lifshitz theory was applied for two-dimensional excitons and polaritons in an organic microcavity by Litinskaia (28). Unfortunately, we are not able to go in details of these calculations here. Note only that also stud- 

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