Abstract

We show that strong light–matter coupling can be used to overcome a long-standing problem that has prevented efficient optical emission from carbon nanotubes. The luminescence from the nominally bright exciton state of carbon nanotubes is quenched due to the fast nonradiative scattering to the dark exciton state having a lower energy. We present a theoretical analysis to show that by placing carbon nanotubes in an optical microcavity the bright excitonic state may be split into two hybrid exciton–polariton states, while the dark state remains unaltered. For sufficiently strong coupling between the bright exciton and the cavity, we show that the energy of the lower polariton may be pushed below that of the dark exciton. This overturning of the relative energies of the bright and dark excitons prevents the dark exciton from quenching the emission. Our results pave the way for a new approach to band-engineering the properties of nanoscale optoelectronic devices.

Highlights

  • Our results pave the way for a new approach to band-engineering the properties of nanoscale optoelectronic devices

  • To reach the strong coupling regime requires the light-matter interaction to be strong enough to overcome all dissipative processes in the system

  • We have theoretically analyzed the regime of strong light-matter coupling in a microcavity containing an ensemble of semiconducting carbon nanotubes

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Summary

Results and Discussion

We note that the ratio between the coupling strength and the exciton creation energy, EX, is strongly enhanced compared to the case of inorganic cavities, and may reach values of g/EX ∼ 0.1 This means that the off-resonant light matter coupling terms can play a non-negligible role in the geometry considered here, and the regime of so-called ultra-strong coupling can be achieved.[79,80] We note that in principle even higher values of g can be reached if one reduces the distance between the nanotubes below lmin.

Conclusions
A: Calculation of the dipole matrix element
B: The dependence of light-matter coupling rate on CNT diameter
C: The brightening dependence on exciton-phonon coupling rate
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