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Deciphering Structural Information from the
 Multiexcitonic Spectra of a Quantum Dot

           Vladan Mlinar & Alex Zunger

        National Renewable Energy Laboratory
               Golden, Colorado USA




                                           Vladan.Mlinar@nrel.gov
QDs: Structure - Spectra relationship



Methods for structural characterization   Single-dot spectroscopy

     • TEM based methods

     • X-ray diffraction

     • X-STM
QDs: Structure - Spectra relationship



Methods for structural characterization             Single-dot spectroscopy

     • TEM based methods

     • X-ray diffraction

     • X-STM




      (M. Bozkurt, J. M. Ulloa, & P. M. Koenraad)



• No atomic resolution
• All of the methods require assumption
about composition profile and/or shape!
QDs: Structure - Spectra relationship



Methods for structural characterization             Single-dot spectroscopy

     • TEM based methods

     • X-ray diffraction

     • X-STM
                                                                              (M. Ediger &
                                                                              R. J. Warburton)




      (M. Bozkurt, J. M. Ulloa, & P. M. Koenraad)



• No atomic resolution
• All of the methods require assumption
about composition profile and/or shape!
QDs: Structure - Spectra relationship



Methods for structural characterization                      Single-dot spectroscopy

     • TEM based methods

     • X-ray diffraction

     • X-STM
                                                                                       (M. Ediger &
                                                                                       R. J. Warburton)




      (M. Bozkurt, J. M. Ulloa, & P. M. Koenraad)



• No atomic resolution                              • Controllable number of electrons and holes
• All of the methods require assumption             • μeV resolution
about composition profile and/or shape!
Typically, Structure is used to predict Spectra



           Assume                             Calculate
              or                              resulting
           measure                             spectra
           structure

• Since for quantum dots we do not know the structure:


          Measured
          emission                            Structure
           spectra
Typically, Structure is used to predict Spectra



           Assume                             Calculate
              or                              resulting
           measure                             spectra
           structure

• Since for quantum dots we do not know the structure:


          Measured
          emission                            Structure
           spectra


                       Is this possible?
Question: What is the structural information
encoded in the multiexcitonic spectra of a QD?




                     ?
Spectral Barcoding vs. DNA Barcoding:




                             Barcoding
            Barcoder
                                         Organism is
                                         identified as
                                         belonging to a
                                         particular species




                                           Sci. Am. p. 82-88 (October 2008)
Spectral Barcoding vs. DNA Barcoding:




                             Barcoding
            Barcoder
                                         Organism is
                                         identified as
                                         belonging to a
                                         particular species




                                           Sci. Am. p. 82-88 (October 2008)
Spectral Barcoding vs. DNA Barcoding:




                             Barcoding
            Barcoder
                                            Organism is
                                            identified as
                                            belonging to a
                                            particular species




                                         ?         QD is identified as
                                                   belonging to a
                                                   group of QDs with
                                                   common structural
                                                   motifs.



                                     Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
How does the Spectral Barcoding work?


Spectral barode:




                                 Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
How does the Spectral Barcoding work?

                                                              Spectral barcoding
                                                                  procedure
Spectral barode:




                     Artificial Intelligence                     QD library
                   (Distilling rules from library)    Deterministic links between
                                                     structures and spectral marker




                                                     Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
How does the Spectral Barcoding work?

                                                              Spectral barcoding
                                                                  procedure
Spectral barode:




                     Artificial Intelligence                     QD library
                   (Distilling rules from library)    Deterministic links between
                                                     structures and spectral marker



RESULT: a set
                                                      Structural Motifs:
of QD structural
motifs!                     Structure                 • h = 2 – 3nm
                                                      • Xav(In) = 75-80%

                                                     Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
Spectral Barcoding: Data-mining of the library

QD structure is discretized into a set of Ns=5 structural motifs, each taking up one of
Nv possible values:

          Motifs:    Shape       b (nm)      h (nm)   XIn (%)   profile
                    Trun.Cone       12        2.0       50       Homog.

                    Trun. Pyr.      18        3.0       60       Linear

                    Lens            20        3.5       70

                    Elong.          23        4.0       80
                    Lens [110]
                    Elong.          25        5.0       90
                    Lens [110]
                    Elong.          30        6.0       100
                    Lens [100]




                                 Structure
Spectral Barcoding: Data-mining of the library

QD structure is discretized into a set of Ns=5 structural motifs, each taking up one of
Nv possible values:

           Motifs:     Shape        b (nm)     h (nm)     XIn (%)    profile
                       Trun.Cone      12         2.0         50       Homog.

                       Trun. Pyr.     18         3.0         60        Linear

                       Lens           20         3.5         70

                       Elong.         23         4.0         80
                       Lens [110]
                       Elong.         25         5.0         90
                       Lens [110]
                       Elong.         30         6.0         100
                       Lens [100]

Bayesian Data Reduction Algorithm:
                                    Structure
• Training: Testing how each structural motif and its corresponding values influences the
barcode
• Result: Identifies the set of structural motifs that are responsible for a given spectral
barcode sequence.
Spectral Barcoding: Consistency test!




                                        Vladan Mlinar and Alex Zunger,
                                        PRB 80, 035328 (2009).
Spectral Barcoding: Consistency test!




                                        Vladan Mlinar and Alex Zunger,
                                        PRB 80, 035328 (2009).
Spectral Barcoding: Consistency test!




                                        Vladan Mlinar and Alex Zunger,
                                        PRB 80, 035328 (2009).
Spectral Barcoding: Consistency test!




                                         Validation!




                                        Vladan Mlinar and Alex Zunger,
                                        PRB 80, 035328 (2009).
Question: How does the deduced structure
      relates to the “real structure”?
Spectral Barcoding: Why is it important?
 Collaboration with
 three experimental
 groups!                    Structural Characterization by X-STM




    Quantum Dot                                                        Theory
      growth

                                                                      Many body
                                                                    pseudopotential
                                                                      calculations

                                 Single-dot Spectroscopy           Calculated spectra



Antonio Badolato
(ETH Zurich, Switzerland)
Spectral Barcoding: Why is it important?
 Collaboration with
 three experimental
 groups!                     Structural Characterization by X-STM




    Quantum Dot                                                             Theory
      growth
                            M. Bozkurt, J. M. Ulloa, & P. M. Koenraad
                            (TU Eindhoven, The Netherlands)                Many body
                                                                         pseudopotential
                                                                           calculations

                                    Single-dot Spectroscopy             Calculated spectra



Antonio Badolato
(ETH Zurich, Switzerland)
Spectral Barcoding: Why is it important?
 Collaboration with
 three experimental
 groups!                          Structural Characterization by X-STM




    Quantum Dot                                                                  Theory
      growth
                                 M. Bozkurt, J. M. Ulloa, & P. M. Koenraad
                                 (TU Eindhoven, The Netherlands)                Many body
                                                                              pseudopotential
                                                                                calculations

                                         Single-dot Spectroscopy             Calculated spectra



Antonio Badolato
(ETH Zurich, Switzerland)


          M. Ediger & R. J. Warburton
          (Heriot-Watt University, UK)
Spectral Barcoding: Why is it important?
 Collaboration with
 three experimental
 groups!                          Structural Characterization by X-STM




    Quantum Dot                                                                      Theory
      growth
                                 M. Bozkurt, J. M. Ulloa, & P. M. Koenraad
                                 (TU Eindhoven, The Netherlands)                    Many body
                                                                                  pseudopotential
                                                                                    calculations

                                         Single-dot Spectroscopy                 Calculated spectra



Antonio Badolato
(ETH Zurich, Switzerland)


          M. Ediger & R. J. Warburton    XS-2 < XT-2 < X-1 < XX0 < X0 sequence
          (Heriot-Watt University, UK)   in measured spectra from each and
                                         every QD studied in the ensemble is
                                         kept.
Spectral Barcoding: Why is it important?
 Collaboration with
 three experimental
 groups!                          Structural Characterization by X-STM




    Quantum Dot                                                                                     Theory
      growth
                                 M. Bozkurt, J. M. Ulloa, & P. M. Koenraad
                                 (TU Eindhoven, The Netherlands)                                  Many body
                                                                                                pseudopotential
                                                                                                  calculations

                                         Single-dot Spectroscopy
                                                                                     ?        Calculated spectra

                                                                                              V. Mlinar, G. Bester, &
                                                                                              A. Zunger (NREL)
Antonio Badolato
(ETH Zurich, Switzerland)
                                                                                      • Exciton energies

          M. Ediger & R. J. Warburton    XS-2 < XT-2 < X-1 < XX0 < X0 sequence         • XS-2 < XT-2 < X-1 < XX0 < X0
          (Heriot-Watt University, UK)   in measured spectra from each and                sequence
                                         every QD studied in the ensemble is
                                         kept.                          Vladan Mlinar et al., PRB 80, 165425 (2009).
XSTM→Theory→Spectroscopy Fails to Close Loop!


                     • Exciton Energies:

                      Calculated: 1.05 -1.12 eV
Structure             Measured: 1.08-1.09 eV




                                   Vladan Mlinar et al., PRB 80, 165425 (2009).
XSTM→Theory→Spectroscopy Fails to Close Loop!


                      • Spectral Hard Rules:

                        EXP.     XS-2 < XT-2 < X-1 < XX0 < X0
Structure
                      Model 1    XS-2 < X0 < XX0 < X-1 < XT-2

                      Model 2    XS-2 < X0 < XX0 < XT-2 < X-1

                      Model 3    X0 < XX0 < XS-2 < X-1 < XT-2

                      Model 4    X0 < XS-2 < XX0 < X-1 < XT-2

                      Model 5    XS-2 < XX0 < X0 < X-1 < XT-2


                      All five XSTM deduced Model QDs
                      violate Spectroscopic Hard rules!
                                    Vladan Mlinar et al., PRB 80, 165425 (2009).
Structural motifs underlying Spectral Hard Rule:


INPUT:




                   Spectral barcoding
                       Procedure




                                        Vladan Mlinar et al., PRB 80, 165425 (2009).
Structural motifs underlying Spectral Hard Rule:


INPUT:




                       Spectral barcoding
                           Procedure


OUTPUT:

Primary structural
Motifs
1. Height (h)
2. Base-length (b)
3. Average In
   composition (XIn)                        Vladan Mlinar et al., PRB 80, 165425 (2009).
Spectroscopy→Theory→Structure closes the Loop!
Spectroscopy→Theory→Structure closes the Loop!




    • More than one dot can be constructed!

    • Spectral Hard Rules are satisfied by
      the construction!
                                              Vladan Mlinar et al., PRB 80, 165425 (2009).
Conclusions:


Spectral Barcoding: Procedure for deciphering structural motifs
from the multiexcitonic spectra




• We established missing structural basis for QD spectroscopy

• We offer spectroscopically-derived structural motifs that combined with
  X-STM measurements give more realistic QD structure.




                                                     Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
                                                                Vladan Mlinar et al., PRB 80, 165425 (2009).


Thank you for your attention!
Basic Paradigm of Spectroscopy of Molecules



• To understand the spectra one must know the structure
  (hence symmetry) of the molecule


• Structure-spectra relationship in molecules has historically been
  facilitated by the accumulated knowledge on electronic and vibrational
  spectral fingerprints of specific groups making up the molecules


• Deliberate design of molecules with given properties


                          Structure
Spectroscopic vs. Geometrical QD size:




Can we construct a model QD that has geometrical size as extracted from XSTM, but
spectroscopic size as deduced by spectral barcoding?
XSTM deduced Model QDs:

     Model 1              Model 2                    Model 3              Model 4




• Truncated cone     • Truncated pyramid       • Truncated pyramid   • Ellipsoid
• No wetting layer   • No wetting layer        • No wetting layer    • No wetting layer

                                           Model 5




                                 • Truncated cone
                                 • Includes wetting layer

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Vladan Mlinar 2009 Materials Research Society Spring Meeting

  • 1. Deciphering Structural Information from the Multiexcitonic Spectra of a Quantum Dot Vladan Mlinar & Alex Zunger National Renewable Energy Laboratory Golden, Colorado USA Vladan.Mlinar@nrel.gov
  • 2. QDs: Structure - Spectra relationship Methods for structural characterization Single-dot spectroscopy • TEM based methods • X-ray diffraction • X-STM
  • 3. QDs: Structure - Spectra relationship Methods for structural characterization Single-dot spectroscopy • TEM based methods • X-ray diffraction • X-STM (M. Bozkurt, J. M. Ulloa, & P. M. Koenraad) • No atomic resolution • All of the methods require assumption about composition profile and/or shape!
  • 4. QDs: Structure - Spectra relationship Methods for structural characterization Single-dot spectroscopy • TEM based methods • X-ray diffraction • X-STM (M. Ediger & R. J. Warburton) (M. Bozkurt, J. M. Ulloa, & P. M. Koenraad) • No atomic resolution • All of the methods require assumption about composition profile and/or shape!
  • 5. QDs: Structure - Spectra relationship Methods for structural characterization Single-dot spectroscopy • TEM based methods • X-ray diffraction • X-STM (M. Ediger & R. J. Warburton) (M. Bozkurt, J. M. Ulloa, & P. M. Koenraad) • No atomic resolution • Controllable number of electrons and holes • All of the methods require assumption • μeV resolution about composition profile and/or shape!
  • 6. Typically, Structure is used to predict Spectra Assume Calculate or resulting measure spectra structure • Since for quantum dots we do not know the structure: Measured emission Structure spectra
  • 7. Typically, Structure is used to predict Spectra Assume Calculate or resulting measure spectra structure • Since for quantum dots we do not know the structure: Measured emission Structure spectra Is this possible?
  • 8. Question: What is the structural information encoded in the multiexcitonic spectra of a QD? ?
  • 9. Spectral Barcoding vs. DNA Barcoding: Barcoding Barcoder Organism is identified as belonging to a particular species Sci. Am. p. 82-88 (October 2008)
  • 10. Spectral Barcoding vs. DNA Barcoding: Barcoding Barcoder Organism is identified as belonging to a particular species Sci. Am. p. 82-88 (October 2008)
  • 11. Spectral Barcoding vs. DNA Barcoding: Barcoding Barcoder Organism is identified as belonging to a particular species ? QD is identified as belonging to a group of QDs with common structural motifs. Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
  • 12. How does the Spectral Barcoding work? Spectral barode: Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
  • 13. How does the Spectral Barcoding work? Spectral barcoding procedure Spectral barode: Artificial Intelligence QD library (Distilling rules from library) Deterministic links between structures and spectral marker Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
  • 14. How does the Spectral Barcoding work? Spectral barcoding procedure Spectral barode: Artificial Intelligence QD library (Distilling rules from library) Deterministic links between structures and spectral marker RESULT: a set Structural Motifs: of QD structural motifs! Structure • h = 2 – 3nm • Xav(In) = 75-80% Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
  • 15. Spectral Barcoding: Data-mining of the library QD structure is discretized into a set of Ns=5 structural motifs, each taking up one of Nv possible values: Motifs: Shape b (nm) h (nm) XIn (%) profile Trun.Cone 12 2.0 50 Homog. Trun. Pyr. 18 3.0 60 Linear Lens 20 3.5 70 Elong. 23 4.0 80 Lens [110] Elong. 25 5.0 90 Lens [110] Elong. 30 6.0 100 Lens [100] Structure
  • 16. Spectral Barcoding: Data-mining of the library QD structure is discretized into a set of Ns=5 structural motifs, each taking up one of Nv possible values: Motifs: Shape b (nm) h (nm) XIn (%) profile Trun.Cone 12 2.0 50 Homog. Trun. Pyr. 18 3.0 60 Linear Lens 20 3.5 70 Elong. 23 4.0 80 Lens [110] Elong. 25 5.0 90 Lens [110] Elong. 30 6.0 100 Lens [100] Bayesian Data Reduction Algorithm: Structure • Training: Testing how each structural motif and its corresponding values influences the barcode • Result: Identifies the set of structural motifs that are responsible for a given spectral barcode sequence.
  • 17. Spectral Barcoding: Consistency test! Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
  • 18. Spectral Barcoding: Consistency test! Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
  • 19. Spectral Barcoding: Consistency test! Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
  • 20. Spectral Barcoding: Consistency test! Validation! Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009).
  • 21. Question: How does the deduced structure relates to the “real structure”?
  • 22. Spectral Barcoding: Why is it important? Collaboration with three experimental groups! Structural Characterization by X-STM Quantum Dot Theory growth Many body pseudopotential calculations Single-dot Spectroscopy Calculated spectra Antonio Badolato (ETH Zurich, Switzerland)
  • 23. Spectral Barcoding: Why is it important? Collaboration with three experimental groups! Structural Characterization by X-STM Quantum Dot Theory growth M. Bozkurt, J. M. Ulloa, & P. M. Koenraad (TU Eindhoven, The Netherlands) Many body pseudopotential calculations Single-dot Spectroscopy Calculated spectra Antonio Badolato (ETH Zurich, Switzerland)
  • 24. Spectral Barcoding: Why is it important? Collaboration with three experimental groups! Structural Characterization by X-STM Quantum Dot Theory growth M. Bozkurt, J. M. Ulloa, & P. M. Koenraad (TU Eindhoven, The Netherlands) Many body pseudopotential calculations Single-dot Spectroscopy Calculated spectra Antonio Badolato (ETH Zurich, Switzerland) M. Ediger & R. J. Warburton (Heriot-Watt University, UK)
  • 25. Spectral Barcoding: Why is it important? Collaboration with three experimental groups! Structural Characterization by X-STM Quantum Dot Theory growth M. Bozkurt, J. M. Ulloa, & P. M. Koenraad (TU Eindhoven, The Netherlands) Many body pseudopotential calculations Single-dot Spectroscopy Calculated spectra Antonio Badolato (ETH Zurich, Switzerland) M. Ediger & R. J. Warburton XS-2 < XT-2 < X-1 < XX0 < X0 sequence (Heriot-Watt University, UK) in measured spectra from each and every QD studied in the ensemble is kept.
  • 26. Spectral Barcoding: Why is it important? Collaboration with three experimental groups! Structural Characterization by X-STM Quantum Dot Theory growth M. Bozkurt, J. M. Ulloa, & P. M. Koenraad (TU Eindhoven, The Netherlands) Many body pseudopotential calculations Single-dot Spectroscopy ? Calculated spectra V. Mlinar, G. Bester, & A. Zunger (NREL) Antonio Badolato (ETH Zurich, Switzerland) • Exciton energies M. Ediger & R. J. Warburton XS-2 < XT-2 < X-1 < XX0 < X0 sequence • XS-2 < XT-2 < X-1 < XX0 < X0 (Heriot-Watt University, UK) in measured spectra from each and sequence every QD studied in the ensemble is kept. Vladan Mlinar et al., PRB 80, 165425 (2009).
  • 27. XSTM→Theory→Spectroscopy Fails to Close Loop! • Exciton Energies: Calculated: 1.05 -1.12 eV Structure Measured: 1.08-1.09 eV Vladan Mlinar et al., PRB 80, 165425 (2009).
  • 28. XSTM→Theory→Spectroscopy Fails to Close Loop! • Spectral Hard Rules: EXP. XS-2 < XT-2 < X-1 < XX0 < X0 Structure Model 1 XS-2 < X0 < XX0 < X-1 < XT-2 Model 2 XS-2 < X0 < XX0 < XT-2 < X-1 Model 3 X0 < XX0 < XS-2 < X-1 < XT-2 Model 4 X0 < XS-2 < XX0 < X-1 < XT-2 Model 5 XS-2 < XX0 < X0 < X-1 < XT-2 All five XSTM deduced Model QDs violate Spectroscopic Hard rules! Vladan Mlinar et al., PRB 80, 165425 (2009).
  • 29. Structural motifs underlying Spectral Hard Rule: INPUT: Spectral barcoding Procedure Vladan Mlinar et al., PRB 80, 165425 (2009).
  • 30. Structural motifs underlying Spectral Hard Rule: INPUT: Spectral barcoding Procedure OUTPUT: Primary structural Motifs 1. Height (h) 2. Base-length (b) 3. Average In composition (XIn) Vladan Mlinar et al., PRB 80, 165425 (2009).
  • 32. Spectroscopy→Theory→Structure closes the Loop! • More than one dot can be constructed! • Spectral Hard Rules are satisfied by the construction! Vladan Mlinar et al., PRB 80, 165425 (2009).
  • 33. Conclusions: Spectral Barcoding: Procedure for deciphering structural motifs from the multiexcitonic spectra • We established missing structural basis for QD spectroscopy • We offer spectroscopically-derived structural motifs that combined with X-STM measurements give more realistic QD structure. Vladan Mlinar and Alex Zunger, PRB 80, 035328 (2009). Vladan Mlinar et al., PRB 80, 165425 (2009). Thank you for your attention!
  • 34. Basic Paradigm of Spectroscopy of Molecules • To understand the spectra one must know the structure (hence symmetry) of the molecule • Structure-spectra relationship in molecules has historically been facilitated by the accumulated knowledge on electronic and vibrational spectral fingerprints of specific groups making up the molecules • Deliberate design of molecules with given properties Structure
  • 35. Spectroscopic vs. Geometrical QD size: Can we construct a model QD that has geometrical size as extracted from XSTM, but spectroscopic size as deduced by spectral barcoding?
  • 36. XSTM deduced Model QDs: Model 1 Model 2 Model 3 Model 4 • Truncated cone • Truncated pyramid • Truncated pyramid • Ellipsoid • No wetting layer • No wetting layer • No wetting layer • No wetting layer Model 5 • Truncated cone • Includes wetting layer