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High-efficiency carrier multiplication through direct photogeneration of multi-excitons via virtual single-exciton states

Abstract

We have previously demonstrated that absorption of a single photon by a nanocrystal quantum dot can generate multiple excitons with an efficiency of up to 100%. This effect, known as carrier multiplication, should lead to substantial improvements in the performance of a variety of optoelectronic and photocatalytic devices, including solar cells, low-threshold lasers and entangled photon sources. Here we present detailed analysis of the dynamics that govern the ultrafast growth of multi-exciton populations in CdSe and PbSe nanocrystals and propose a model of how such populations arise. Our analysis indicates that the generation of multi-excitons in these systems takes less than 200 fs, which suggests that it is an instantaneous event. We explain this in terms of their direct photogeneration via multiple virtual single-exciton states. This process relies on both the confinement-enhanced Coulomb coupling between single excitons and multi-excitons and the large spectral density of high-energy single- and multi-exciton resonances that occur in semiconductor nanocrystals.

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Figure 1: Evolution of the electron–hole system when photoexcited in the regime of CM.
Figure 2: Buildup dynamics of the lowest 1S electron state in 3.2-nm-radius CdSe nanocrystals with and without CM (the same sample as in Fig. 1b).
Figure 3: Buildup dynamics of the lowest 1S electron state in 3.9-nm-radius PbSe nanocrystals (E g=0.64 eV) with and without CM.
Figure 4: Direct photoexcitation of bi-excitons via virtual single-exciton states.

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References

  1. Yu, G., Gao, J., Hummelen, J. C., Wudl, F. & Heeger, A. J. Polymer photovoltaic cells: Enhanced efficiencies via a network of internal donor-acceptor heterojunctions. Science 270, 1789–1791 (1995).

    Article  ADS  Google Scholar 

  2. Grätzel, M. Photoelectrochemical cells. Nature 414, 338–344 (2001).

    Article  ADS  Google Scholar 

  3. Landsberg, P. T., Nussbaumer, H. & Willeke, G. Band-band impact ionization and solar cell efficiency. J. Appl. Phys. 74, 1451–1452 (1993).

    Article  ADS  Google Scholar 

  4. Kolodinski, S., Werner, J. H., Wittchen, T. & Queisser, H. J. Quantum efficiencies exceeding unity due to impact ionization in silicon solar cells. Appl. Phys. Lett. 63, 2405–2407 (1993).

    Article  ADS  Google Scholar 

  5. Spirkl, W. & Ries, H. Luminescence and efficiency of an ideal photovoltaic cell with charge carrier multiplication. Phys. Rev. B 52, 11319–11325 (1995).

    Article  ADS  Google Scholar 

  6. Nozik, A. J. Quantum dot solar cells. Physica E 14, 115–120 (2002).

    Article  ADS  Google Scholar 

  7. Califano, M., Zunger, A. & Franceschetti, A. Direct carrier multiplication due to inverse Auger scattering in CdSe quantum dots. Appl. Phys. Lett. 84, 2409–2411 (2004).

    Article  ADS  Google Scholar 

  8. Wolf, M., Brendel, R., Werner, J. H. & Queisser, H. J. Solar cell efficiency and carrier multiplication in Si1−xGe alloys. J. Appl. Phys. 83, 4213–4221 (1998).

    Article  ADS  Google Scholar 

  9. Schaller, R. D. & Klimov, V. I. High efficiency carrier multiplication in PbSe nanocrystals: Implications for solar energy conversion. Phys. Rev. Lett. 92, 186601 (2004).

    Article  ADS  Google Scholar 

  10. Ellingson, R. et al. Highly efficient multiple exciton generation in colloidal PbSe and PbS quantum dots. Nano Lett. 5, 865–871 (2005).

    Article  ADS  Google Scholar 

  11. Schaller, R. D., Petruska, M. A. & Klimov, V. I. The effect of electronic structure on carrier multiplication efficiency: A comparative study of PbSe and CdSe nanocrystals. Appl. Phys. Lett.(in the press).

  12. Murray, C. B., Norris, D. J. & Bawendi, M. G. Synthesis and characterization of nearly monodisperse CdE (E=S,Se,Te) semiconductor nanocrystallites. J. Am. Chem. Soc. 115, 8706–8715 (1993).

    Article  Google Scholar 

  13. Murray, C. B. et al. Colloidal synthesis of nanocrystals and nanocrystal superlattices. IBM J. Res. Dev. 45, 47–56 (2001).

    Article  Google Scholar 

  14. Klimov, V. I. Optical nonlinearities and ultrafast carrier dynamics in semiconductor nanocrystals. J. Phys. Chem. B 104, 6112–6123 (2000).

    Article  Google Scholar 

  15. Klimov, V. I. & McBranch, D. W. Femtosecond 1P-to-1S electron relaxation in strongly confined semiconductor nanocrystals. Phys. Rev. Lett. 80, 4028–4031 (1998).

    Article  ADS  Google Scholar 

  16. Landsberg, P. T. Recombination in Semiconductors (Cambridge Univ. Press, Cambridge, 1991).

    Google Scholar 

  17. Klimov, V. I., Mikhailovsky, A. A., McBranch, D. W., Leatherdale, C. A. & Bawendi, M. G. Quantization of multiparticle Auger rates in semiconductor quantum dots. Science 287, 1011–1013 (2000).

    Article  ADS  Google Scholar 

  18. Achermann, M., Hollingsworth, J. A. & Klimov, V. I. Multiexcitons confined within a subexcitonic volume: Spectroscopic and dynamical signatures of neutral and charged biexcitons in ultrasmall semiconductor nanocrystals. Phys. Rev. B 68, 245302 (2003).

    Article  ADS  Google Scholar 

  19. Shionoya, H., Saito, H., Hanamura, E. & Akimoto, O. Anisotropic excitonic molecules in CdS and CdSe. Solid State Commun. 12, 223–226 (1973).

    Article  ADS  Google Scholar 

  20. Htoon, H., Cox, P. J. & Klimov, V. I. Structure of excited-state transitions of individual semiconductor nanocrystals probed by photoluminescence excitation spectroscopy. Phys. Rev. Lett. 93, 187402 (2004).

    Article  ADS  Google Scholar 

  21. Crooker, S. A., Barrick, T., Hollingsworth, J. A. & Klimov, V. I. Multiple temperature regimes of radiative decay in CdSe nanocrystal quantum dots: Intrinsic limits to the dark-exciton lifetime. Appl. Phys. Lett. 82, 2793–2795 (2003).

    Article  ADS  Google Scholar 

  22. Wehrenberg, B. L., Wang, C. J. & Guyot-Sionnest, P. Interband and intraband optical studies of PbSe colloidal quantum dots. J. Phys. Chem. B 106, 10634–10640 (2002).

    Article  Google Scholar 

  23. Du, H. et al. Optical properties of colloidal PbSe nanocrystals. Nano Lett. 2, 1321–1324 (2002).

    Article  ADS  Google Scholar 

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Acknowledgements

This work was supported by the Chemical Sciences, Biosciences and Geosciences Division of the Office of Basic Energy Sciences, Office of Science, US Department of Energy and Los Alamos LDRD funds. R.D.S. is supported by a Frederick Reines Fellowship. We thank J. M. Pietryga and M. A. Petruska for fabrication of nanocrystal samples.

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Correspondence to Victor I. Klimov.

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Schaller, R., Agranovich, V. & Klimov, V. High-efficiency carrier multiplication through direct photogeneration of multi-excitons via virtual single-exciton states. Nature Phys 1, 189–194 (2005). https://doi.org/10.1038/nphys151

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