Abstract
This chapter reviews the fundamental concepts of excitons and excitonic polaritons and their extraordinary optical properties in quantum dot nano-composite materials. By starting with the optical excitation of an exciton in the nanostructure we show that the effective dielectric constant of the nanostructure becomes significantly modified due to the exciton generation and recombination, resulting in high positive and negative dielectric constants. We also discuss single exciton generation by multiple photons and multiple exciton generation by single photon. All these nonlinear optical properties of quantum dot nano-composite materials offer novel possibilities and are expected to have deep impact in nanophotonics.
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References
Abrahams, E. (1954). Electron-electron scattering in Alkali metals. Physical Review, 95, 839–910.
Allan, G., & Delerue, C. (2008). Influence of electronic structure and multiexciton spectral density on multiple-exciton generation in semiconductor nanocrystals: Tight-binding calculations. Physical Review B, 77, 125340(10).
Andreani, L. C., Gerace, D., & Agio, M. (2005). Exciton-polaritons and nanoscale cavities in photonic crystal slabs. Physica Status Solidi (B), 242, 2197–2209.
Birman, J. L., & Huong, N. Q. (2007). Wannier-Frenkel hybrid exciton in organic-semiconductor quantum dot heterostructures. Journal of Luminescence, 125, 196–200.
Bratkovsky, A., Ponizovskaya, E., Wang, S.-Y., Holmström, P., Thylén, L., Fu, Y., & Ågren, H. (2008). A metal-wire/quantum-dot composite metamaterial with negative \(\epsilon \) and compensated optical loss. Applied Physics Letters, 93, 193106(3).
Cohen, R. W., Cody, G. D., Coutts, M. D., & Abeles, B. (1973). Optical properties of granular silver and gold films. Physical Review B, 8, 3689–3701.
Cohen-Tannoudji, C., Diu, B., & Laloe, F. (1991). Quantum mechanics (Vol. 2, p. 1046). New York: Wiley-Interscience.
Derfus, A. M., Chen, A. A., Min, D.-H., Ruoslahti, E., & Bhatia, S. N. (2007). Targeted quantum dot conjugates for siRNA delivery. Bioconjugate Chemistry, 18, 1391–1396.
Dimmock, J. O. (1967). Chapter 7 Introduction to the theory of exciton states in semiconductors. In R. K. Willardson & A. C. Beer (Eds.), Semiconductors and Semimetals (Vol. 3, pp. 259–319). New York: Academic.
Franceschetti, A., An, J. M., & Zunger, A. (2006). Impact ionization can explain carrier multiplication in PbSe quantum dots. Nano Letters, 6, 2191–2195.
Fu, Y., & Willander, M. (1999). Chapter 1 Elemental and compound semiconductors. In Physicalmodel of semiconductor quantum devices (pp. 1–22). Boston: Kluwer.
Fu, Y., Willander, M., Ivchenko, E. L., & Kiselev, A. A. (1997). Four-wave mixing in microcavities with embedded quantum wells. Physical Review, B55, 9872–9879.
Fu, Y., Willander, M., & Ivchenko, E. L. (2000). Photonic dispersions of semiconductor-quantum-dot-array-based photonic crystals in primitive and face-centered cubic lattices. Superlattices and Microstructures, 27, 255–264.
Fu, Y., Willander, M., & Xu, Q.-X. (2006a). Chapter 5 Quantum effects and nanofabrications in scaling metal-oxide-semiconductor devices. In A. A. Balandin & K. L. Wang (Eds.), Handbook of semiconductor nanostructures and nanodevices (Vol. 5, pp. 229–256). Los Angeles: American Scientific Publishers.
Fu, Y., Berglind, E., Thylén, L., & Ågren, H. (2006b). Optical transmission and waveguiding by excitonic quantum dot lattices. Journal of the Optical Society of America B, 23, 2441–2447.
Fu, Y., Han, T.-T., Luo, Y., & Ă…gren, H. (2006c). Multi-photon excitation of quantum dots by ultra-short and ultra-intense laser pulse. Applied Physics Letters, 88, 221114(3).
Fu, Y., Han, T.-T., Ă…gren, H., Lin, L., Chen, P., Liu, Y., Tang, G.-Q., Wu, J., Yue, Y., & Dai, N. (2007). Design of semiconductor CdSe-core ZnS/CdS-multishell quantum dots for multiphoton applications. Applied Physics Letters, 90, 173102(3).
Fu, Y., Thylén, L., & Ågren, H. (2008). A lossless negative dielectric constant from quantum dot exciton polaritons. Nano Letters, 8, 1551–1555.
Fu, Y., Ågren, H., Kowalewski, J. M., Brismar, H., Wu, J., Yue, Y., Dai, N., & Thylén, L. (2009). Radiative and nonradiative recombination of photoexcited excitons in multi-shell-coated CdSe/CdS/ZnS quantum dots. Europhysics Letters, 86, 37003(6).
Fu, Y., Zhou, Y.-H., Su, H., Boey, F. Y. C., & Ågren, H. (2010). Impact ionization and Auger recombination rates in semiconductor quantum dots. Journal of Physical Chemistry C, 114, 3743–3747.
Gasiorowicz, S. (1996). Quantum physics (p. 178). New York: Wiley.
Gittleman, J. I., & Abeles, B. (1977). Comparison of the effective medium and the Maxwell-Garnett predictions for the dielectric constants of granular metals. Physical Review B, 15, 3273–3275.
Hanna, M. C., Ellingson, R. J., Beard, M., Yu, P., Micic, O.I., & Nozik, A.J. (2004, October 25–28). Quantum dot solar cells: High efficiency through multiple exciton generation. 2004 DOE Solar Energy Technologies Program Review Meeting, Denver, Colorado.
Helmchen, F., Svododa, K., Denk, W., Kleinfeld, D., & Tank, D. W. (1996). In vivo dendritic calcium dynamics in deep-layer cortical pyramidal neurons. Nature Neuroscience, 2, 989–996.
Huxter, V. M., & Scholes, G. D. (2006). Nonlinear optical approach to multiexciton relaxation dynamics in quantum dots. Journal of Chemical Physics, 125, 144716–144712.
International Technology Roadmap for Semiconductors. www.itrs.net.
Ivchenko, E. L., Fu, Y., & Willander, M. (2000). Exciton polaritons in quantum-dot photonic crystals. Physics of the Solid State, 42, 1756–1765.
Jiang, J., Gao, B., Han, T.-T., & Fu, Y. (2009). Ab initio study of energy band structures of GaAs nanoclusters. Applied Physics Letters, 94, 092110(3).
Kane, E. O. (1957). Band structure of indium antimonide. Journal of Physics and Chemistry of Solids, 1, 249.
Kavokin, A. (2007). Exciton-polaritons in microcavities: Present and future. Applied Physics A, 89, 241–246.
Kim, S. J., Kim, W. J., Sahoo, Y., Cartwright, A. N., & Prasad, P. N. (2008). Multiple exciton generation and electrical extraction from a PbSe quantum dot photoconductor. Applied Physics Letters, 92, 31107(3).
Lami, J.-F., Gilliot, P., & Hirlimann, C. (1996). Observation of interband two-photon absorption saturation in CdS. Physical Review Letters, 77, 1632–1635.
Landau, L. D., & Lifshitz, E. M. (1965). Quantum mechanics (2nd ed., p. 129). Oxford: Pergamon Press.
Landsberg, P. T. (1991). Recombination in semiconductors. London: Cambridge University Press.
Landsberg, P. T., & Adams, M. J. (1973). Theory of donor-acceptor radiative and Auger recombination in simple semiconductors. Proceedings of the Royal Society of London A, 334, 523–539.
Madelung, O. (Ed.). (1991). Semiconductors group IV elements and III-V compounds. Berlin: Springer.
Madelung, O. (Ed.). (1992). Data in science and technology: Semiconductors other than group IV elements and III-V compounds. Boston: Springer.
Maxwell-Garnett, J. C. (1906). Colours in metal glasses, in metallic films, and in metallic solutions. II. Philosophical Transactions of the Royal Society of London, 205, 237–288.
Mayer, M. G. (1931). Elementary processes with two quantum jumps. Annalen Der Physik (Leipzig), 9, 273–294.
Medintz, I. L., Uyeda, H. T., Goldman, E. R., & Mattoussi, H. (2005). Quantum dot bioconjugates for imaging, labelling and sensing. Nature Materials, 4, 435–446.
Miller, D. A. B., Chemla, D. S., Eilenberg, D. J., Smith, P. W., Gossard, A. C., & Tsang, W. T. (1982). Large room-temperature optical nonlinearity in GaAs/Ga\({}_{1-x}\)Al\({}_{x}\)As multiple quantum well structures. Applied Physics Letters, 41, 679–681.
MolnĂ¡r, M., Fu, Y., Friberg, P., & Chen, Y. (2010). Optical characterization of colloidal CdSe quantum dots in endothelial progenitor cells. Journal of Nanobiotechnology, 8, 2. doi:10.1186/1477-3155-8-2.
Nozik, A. J. (2002). Quantum dot solar cells. Physica E: Low-dimensional Systems and Nanostructures, 14, 115–120.
Rabani, E., & Baer, R., (2008). Distribution of multiexciton generation rates in CdSe and InAs nanocrystals. Nano Letters, 8, 4488–4492.
Ridley, B. K. (1988). Quantum processes in semiconductors (pp. 269–278). Oxford: Clarendon Press.
Rodina, P., Ebert, U., Hundsdorfer, W., & Grekhov, I. (2002). Tunneling-assisted impact ionization fronts in semiconductors. Journal of Applied Physics, 92, 958–964.
Schaller, R. D., & Klimov, V. I. (2004). High efficiency carrier multiplication in PbSe nanocrystals: Implications for solar energy conversion. Physical Review Letters, 92, 186601(4).
Schaller, R. D., Agranovich, V. M., & Klimov, V. I. (2005). Mechanism for high-efficiency carrier multiplication in semiconductor nanocrystals: Direct photogeneration of multiexcitons via virtual single-exciton states. Nature Physics, 1, 189–194.
Schmidt, M. E., Blanton, S. A., Hines, M. A., & Guyot-Sionnest, P. (1996). Size-dependent two-photon excitation spectroscopy of CdSe nanocrystals. Physical Review B, 53, 12629–12632.
Scholes, G. D., & Rumbles, G. (2006). Excitons in nanoscale systems. Nature Materials, 5, 683–696.
Sturge, M. D., & Rashba, E. I. (Eds.). (1982). Excitons. Amsterdam: North-Holland.
Suffczyński, J., Kazimierczuk, T., Goryca, M., Piechal, B., Trajnerowicz, A., Kowalik, K., Kossacki, P., Golnik, A., Korona, K. P., Nawrocki, M., & Gaj, J. A. (2006). Excitation mechanisms of individual CdTe/ZnTe quantum dots studied by photon correlation spectroscopy. Physical Review B, 74, 085319(7).
Sun, H. D., Makino, T., Segawa, Y., Kawasaki, M., Ohtomo, A., Tamura, K., & Koinuma, H. (2002). Enhancement of exciton binding energies in ZnO/ZnMgO multiquantum wells. Journal of Applied Physics, 91, 1993–1997.
Takenaka, N., Inoue, M., & Inuishi, Y. (1979). Influence of inter-carrier scattering on hot electron distribution function in GaAs. Journal of the Physical Society of Japan, 47, 861–868.
Thylén, L., He, S., Wosinski, L., & Dai, D. (2006). The Moore’s Law for photonic integrated circuits. Journal of Zhejiang University Science A, 7, 1961–1967.
Trinh, M. T., Houtepen, A. J., Schins, J. M., Hanrath, T., Piris, J., Knulst, W., Goossens, A. P. L. M., & Siebbeles, L. D. A. (2008). In spite of recent doubts carrier multiplication does occur in PbSe nanocrystals. Nano Letters, 8, 1713–1718.
Vashist, S. K., Tewari, R., Bajpai, R. P., Bharadwaj, L. M., & Raiteri, R. (2006). Review of quantum dot technologies for cancer detection and treatment. Azojono Journal of Nanotechnology Online, 2, 1–14, 10.2240/azojono0113.
Vlasov, Y. A., Astratov, V. N., Karimov, O. Z., Kaplyanskii, A. A., Bogomolov, V. N & Prokofiev, A. V. (1997). Existence of a photonic pseudogap for visible light in synthetic opals. Physical Review, B55, R13357–13360.
Vurgaftman, I., Meyer, J. R., & Ram-Mohan, L. R. (2001). Band parameters for III-V compound semiconductors and their alloys. Journal Of Applied Physics, 89, 5815–5875.
Weisbuch, C., Benisty H., & Houdré, R. (2000). Overview of fundamentals and applications of electrons, excitons and photons in confined structures. Journal of Luminescence, 85, 271–293.
Wherrett, B. S. (1984). Scaling rules for multiphoton interband absorption in semiconductors. Journal of the Optical Society of America B-Optical Physics, 1, 67–72.
Xu, W.-L., Fu, Y., Willander, M., & Shen, S. C. (1994). Theory of normal incident absorption for the intersubband transition in n-type indirect-gap semiconductor quantum wells. Physical Review B, 49, 13760–13766.
Yannopapas, V. (2007). Artificial magnetism and negative refractive index in three-dimensional metamaterials of spherical particles at near-infrared and visible frequencies. Applied Physics A, 87, 259–264.
Yannopapas, V. (2008). Subwavelength imaging of light by arrays of metal-coated semiconductor nanoparticles: A theoretical study. Journal of Physics: Condensed Matter, 20, 255201–255208.
Yatsui, T., Sangu, S., Kawazoe, T., Ohtsu, M., An, S. J., Yoo, J., & Yi, G.-C. (2007). Nanophotonic switch using ZnO nanorod double-quantum-well structures. Applied Physics Letters, 90, 223110(3).
Yatsui, T., Yib, G.-C., & Ohtsu, M. (2008). Progress in developing nanophotonic integrated circuits. Proceedings of SPIE, 7007, 700703(8).
Yokoyama, H., Guo, H., Yoda, T., Takashima, K., Sato, K.-I., Taniguchi, H., & Ito, H. (2006). Two-photon bioimaging with picosecond optical pulses from a semiconductor laser. Optics Express, 14, 3467–3471.
Zamfirescu, M., Kavokin, A., Gil., B, Malpuech, G., & Kaliteevski, M. (2002). ZnO as a material mostly adapted for the realization of room-temperature polariton lasers. Physical Review B, 65, 161205(4).
Zeng, Y., Fu, Y., Chen, X., Lu, W., & Ågren, H. (2006a). Complete band gaps in three-dimensional quantum-dot photonic crystals. Physical Review B, 74, 115325(5).
Zeng, Y., Chen, X.-S., Lu, W., Fu, Y. (2006b). Exciton polaritons of nano-spherical-particle photonic crystals in compound lattices. The European Physical Journal B, 49, 313–318.
Zia, R., Schuller, J. A., Chandran, A., & Brongersma, M. L. (2006). Plasmonics: The next chip-scale technology. Materials Today, 9, 20.
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Fu, Y., Ă…gren, H. (2012). Optical Properties of Quantum Dot Nano-composite Materials Studied by Solid-State Theory Calculations. In: Leszczynski, J. (eds) Handbook of Computational Chemistry. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0711-5_23
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