Abstract
We study Frenkel exciton-polariton Bose–Einstein condensation in a two-dimensional defect-free triangular photonic crystal with an organic semiconductor active medium containing bound excitons with dipole moments oriented perpendicular to the layers. We find photonic Bloch modes of the structure and consider their strong coupling regime with the excitonic component. Using the Gross–Pitaevskii equation for exciton polaritons and the Boltzmann equation for the external exciton reservoir, we demonstrate the formation of condensate at the points in reciprocal space where photon group velocity equals zero. Further, we demonstrate condensation at non-zero momentum states for transverse magnetic-polarized photons in the case of a system with incoherent pumping, and show that the condensation threshold varies for different points in the reciprocal space, controlled by detuning.
Highlights
The large exciton binding energy and oscillator strength of organic materials embedded in light-confining structures such as optical cavities make it possible to achieve giant energies of the Rabi oscillations desired for room-temperature exciton-polariton (EP) condensation [1,2,3]
We study Frenkel exciton-polariton Bose–Einstein condensation in a two-dimensional defect-free attribution to the author(s) and the title of triangular photonic crystal with an organic semiconductor active medium containing bound excitons the work, journal citation with dipole moments oriented perpendicular to the layers
It can be noted that there exist other materials, such as cyano-substituted compound 2,5-bis(cyano biphenyl-4-yl) thiophene, in which the transition dipole moment lies in the in-plane direction with respect to the crystal face
Summary
The large exciton binding energy and oscillator strength of organic materials embedded in light-confining structures such as optical cavities make it possible to achieve giant energies of the Rabi oscillations desired for room-temperature exciton-polariton (EP) condensation [1,2,3] In this respect, two-dimensional (2D) photonic crystals (PC), which can be integrated with organic materials [4, 5], are a current area of focus. It can be noted that there exist other materials, such as cyano-substituted compound 2,5-bis(cyano biphenyl-4-yl) thiophene, in which the transition dipole moment lies in the in-plane direction with respect to the crystal face While such materials can be assumed to demonstrate strong coupling with the Fabry–Perot cavities or transverse electric (TE) modes of PCs [10], supporting Γ-point condensation in the reciprocal space, this case is trivial and beyond the scope of our manuscript. The first type results from coupling between excitonic and photonic modes below the
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