Double Quantum Dot Photoluminescence Mediated by Incoherent Reversible Energy Transport

We present a theoretical study of the stationary photoluminescence of two, direct-gap, semiconductor nanocrystals, taking into account electronic excitation energy-transfer processes due to electrostatic interaction. The results obtained here allow for the incoherent reversible energy transport that occurs when the intraband relaxation rate in a quantum dot acceptor is comparable to, or less than, the energy-transfer rate. We investigate the secondary emission of two different electronic level schemes that can be realized experimentally, obtain analytical expressions for the luminescence differential cross section, and perform an analysis of its spectrum. It is shown that when excitation is not in resonance with the levels involved in energy transfer, the energy transfer is more efficient.

[1]  W. Heitler,et al.  The quantum theory of radiation , 1936 .

[2]  E. Caianiello,et al.  Lectures on The Many-Body Problem , 1962 .

[3]  Y. Shen.  Distinction between resonance Raman scattering and hot luminescence , 1974 .

[4]  A. I. Anselʹm.  Introduction to semiconductor theory , 1981 .

[5]  K. Blum.  Density Matrix Theory and Applications , 1981 .

[6]  V. Agranovich,et al.  Electronic excitation energy transfer in condensed matter , 1982 .

[7]  H. Haug.  V. M. Agranovich, M. D. Galanin: Electronic Excitation Energy Transfer in Condensed Matter, North‐Holland, Amsterdam, New York 1983. 371 Seiten, Preis: Dfl 225.–. , 1984 .

[8]  W. Tiller,et al.  Stress relaxation technique for thermally grown SiO2 , 1986 .

[9]  J. Melinger,et al.  Theory of time and frequency resolved resonance secondary radiation from a three‐level system , 1986 .

[10]  G. Bastard,et al.  Phonon scattering and energy relaxation in two-, one-, and zero-dimensional electron gases. , 1990, Physical review. B, Condensed matter.

[11]  Egeler,et al.  Electron relaxation in quantum dots by means of Auger processes. , 1992, Physical review. B, Condensed matter.

[12]  Benisty.  Reduced electron-phonon relaxation rates in quantum-box systems: Theoretical analysis. , 1995, Physical review. B, Condensed matter.

[13]  Sercel.  Multiphonon-assisted tunneling through deep levels: A rapid energy-relaxation mechanism in nonideal quantum-dot heterostructures. , 1995, Physical review. B, Condensed matter.

[14]  The distribution of persistent currents in interacting 2D disordered cylinders , 1995 .

[15]  Norris,et al.  Measurement and assignment of the size-dependent optical spectrum in CdSe quantum dots. , 1996, Physical review. B, Condensed matter.

[16]  Inoue,et al.  Anomalous features of resonant hyper-Raman scattering in CuBr quantum dots: Evidence of exciton-phonon-coupled states similar to molecules. , 1996, Physical review. B, Condensed matter.

[17]  Cherie R. Kagan,et al.  Long-range resonance transfer of electronic excitations in close-packed CdSe quantum-dot solids. , 1996, Physical review. B, Condensed matter.

[18]  Inoue,et al.  Resonant hyper-Raman and second-harmonic scattering in a CdS quantum-dot system. , 1996, Physical review. B, Condensed matter.

[19]  M. Rosen,et al.  Auger relaxation processes in semiconductor nanocrystals and quantum wells , 1996 .

[20]  Griffiths,et al.  Defect-assisted relaxation in quantum dots at low temperature. , 1996, Physical review. B, Condensed matter.

[21]  Anupam Madhukar,et al.  EXCITATION TRANSFER IN SELF-ORGANIZED ASYMMETRIC QUANTUM DOT PAIRS , 1998 .

[22]  Arthur J. Nozik,et al.  Optical, Electronic, and Structural Properties of Uncoupled and Close-Packed Arrays of InP Quantum Dots , 1998 .

[23]  Duncan W. McBranch,et al.  Mechanisms for intraband energy relaxation in semiconductor quantum dots: The role of electron-hole interactions , 2000 .

[24]  A. Schliwa,et al.  Existence of a phonon bottleneck for excitons in quantum dots , 2001 .

[25]  Zhiyong Tang,et al.  Spontaneous Organization of Single CdTe Nanoparticles into Luminescent Nanowires , 2002, Science.

[26]  A. Baranov,et al.  Coherent control of thermalized luminescence in semiconductor quantum dots , 2002 .

[27]  Ivan D. Rukhlenko,et al.  Intraband carrier relaxation in quantum dots embedded in doped heterostructures , 2003 .

[28]  Optical transitions in artificial few-electron atoms strongly confined inside ZnO nanocrystals. , 2003, Physical review letters.

[29]  Phonon bottleneck effects in InAs/GaInP quantum dots , 2004 .

[30]  Igor Nabiev,et al.  Energy Transfer in Aqueous Solutions of Oppositely Charged CdSe/ZnS Core/Shell Quantum Dots and in Quantum Dot−Nanogold Assemblies , 2004 .

[31]  T. Klar,et al.  Fast energy transfer in layer-by-layer assembled CdTe nanocrystal bilayers , 2004 .

[32]  S. Barrett,et al.  Anticrossings in Förster coupled quantum dots , 2003, quant-ph/0309099.

[33]  P. Liljeroth,et al.  Physicochemical evaluation of the hot-injection method, a synthesis route for monodisperse nanocrystals. , 2005, Small.

[34]  P. Guyot-Sionnest,et al.  Intraband relaxation in CdSe nanocrystals and the strong influence of the surface ligands. , 2005, The Journal of chemical physics.

[35]  Ivan D. Rukhlenko,et al.  Enhanced intraband carrier relaxation in quantum dots due to the effect of plasmon-LO-phonon density of states in doped heterostructures , 2005 .

[36]  R. Schaller,et al.  Breaking the phonon bottleneck in semiconductor nanocrystals via multiphonon emission induced by intrinsic nonadiabatic interactions. , 2005, Physical review letters.

[37]  Spin-Förster transfer in optically excited quantum dots , 2005, cond-mat/0503688.

[38]  G. Scholes,et al.  Resonance energy transfer and quantum dots , 2005 .

[39]  Sergio E. Ulloa,et al.  Extended coherent exciton states in quantum dot arrays , 2006 .

[40]  Zhiyong Tang,et al.  Self-Assembly of CdTe Nanocrystals into Free-Floating Sheets , 2006, Science.

[41]  Igor Nabiev,et al.  Controlled self-assembly of nanocrystals into polycrystalline fluorescent dendrites with energy-transfer properties. , 2006, Angewandte Chemie.

[42]  Wei Li,et al.  Direct observation of resonant energy transfer between quantum dots of two different sizes in a single water droplet , 2006 .

[43]  M. Koeberg,et al.  Direct observation of electron-to-hole energy transfer in CdSe quantum dots. , 2006, Physical review letters.

[44]  C. Delerue,et al.  Energy transfer between semiconductor nanocrystals: Validity of Förster’s theory , 2007 .

[45]  I. Rukhlenko,et al.  Quantum dot energy relaxation mediated by plasmon emission in doped covalent semiconductor heterostructures , 2007 .

[46]  A. Baranov,et al.  Lab-in-a-drop: controlled self-assembly of CdSe/ZnS quantum dots and quantum rods into polycrystalline nanostructures with desired optical properties , 2007 .

[47]  L. M. Smith,et al.  Relaxation dynamics of bimodally distributed CdSe quantum dots , 2007 .

[48]  A. Tortschanoff,et al.  Subpicosecond near-infrared fluorescence upconversion study of relaxation processes in PbSe quantum dots , 2007 .

[49]  P. Machnikowski,et al.  Quantum kinetic theory of phonon-assisted excitation transfer in quantum dot molecules. , 2008, Physical review letters.

[50]  K. Yeon,et al.  Excitonic quantum interference in a quantum dot chain with rings , 2008, Nanotechnology.

[51]  S. Sanguinetti,et al.  Effective phonon bottleneck in the carrier thermalization of InAs/GaAs quantum dots , 2008 .

[52]  Observation of interdot energy transfer between InAs quantum dots , 2008 .

[53]  A. Poddubny,et al.  Coherent defect-assisted multiphonon intraband carrier relaxation in semiconductor quantum dots , 2007, 0705.2727.

[54]  Kurt Hingerl,et al.  Energy transfer in close-packed PbS nanocrystal films , 2008 .

[55]  Y. Kanemitsu,et al.  Direct and stepwise energy transfer from excitons to plasmons in close-packed metal and semiconductor nanoparticle monolayer films. , 2008, Physical review letters.

[56]  P. Guyot-Sionnest,et al.  Slow Electron Cooling in Colloidal Quantum Dots , 2008, Science.

[57]  Alexander V. Baranov,et al.  Resonant energy transfer in quantum dots : Frequency-domain luminescent spectroscopy , 2008 .