Pump-probe spectra of linear molecular aggregates: Effect of exciton-exciton interaction and higher molecular levels

Journal of Chemical Physics

Volumn 109, Issue 16, 1998, Pages 6916-6928

  Juzeliunas, Gediminas ^a,b   Reineker, Peter ^a  

^a UNIVERSITY OF ULM   (Germany)

^b VILNIUS UNIVERSITY   (Lithuania)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRONIC PROPERTIES; FERMI LEVEL; GREEN'S FUNCTION; LIGHT POLARIZATION; MOLECULAR DYNAMICS; MOLECULAR VIBRATIONS; SPECTRUM ANALYSIS;

EXCITON EXCITON INTERACTION; MOLECULAR AGGREGATES; PUMP PROBE SPECTRA;

MOLECULAR SPECTROSCOPY;

EID: 0032558570     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.477259     Document Type: Article

References (60)

1. E. G. McRae and M. Kasha, in Physical Processes in Radiation Biology, edited by L. Augenstein, R. Mason, and B. Rosenberg (Academic, New York, 1964), p. 23.
2. J. S. Briggs and A. Herzenberg, Mol. Phys. 21, 865 (1971);
3. J. S. Briggs, Z. Phys. Chem., Neue Folge 75, 214 (1971).
4. P. Reineker, Exciton Dynamics in Molecular Crystals and Aggregates: Stochastic Liouville Equation Approach: Coupled Coherent and Incoherent Motion, Optical Line Shapes, Magnetic Resonance Phenomena (Springer, Berlin, 1982).
5. E. W. Knapp, Chem. Phys. 85, 73 (1984).
6. P. O. J. Scherer and S. F. Fisher, Chem. Phys. Lett. 86, 269 (1984).
7. A. M. Jayannavar, P. Reineker, and B. Kaiser, Z. Phys. B 77, 229 (1984).
8. V. Kraus and P. Reineker, Phys. Rev. A 43, 4182 (1991).
9. P. Reineker, Ch. Warns, Th. Neidlingen, and I. Barvik, Chem. Phys. 177, 715 (1993).
10. G. Juzeliūnas, Liet. Fiz. Rink. 27, 261 (1987) [English translation, Sov. Phys. Collect. 27, 7 (1987)].
11. G. Juzeliūnas, Z. Phys. D 8, 379 (1988).
12. F. C. Spano and S. Mukamel, Phys. Rev. A 40, 5783 (1989).
13. V. I. Novoderezhkin and A. P. Razjivin, FEBS Lett. 330, 5 (1993).
14. J. Knoester, J. Chem. Phys. 99, 8466 (1993).
15. F. C. Spano and J. Knoester, in Advances in Magnetic and Optical Resonance, edited by W. S. Waren (Academic, New York, 1994), Vol. 18, p. 117.
16. J. Knoester and F. C. Spano, Phys. Rev. Lett. 74, 2780 (1995).
17. S. Mukamel, Principles of Nonlinear Optical Spectroscopy (Oxford University Press, New York, 1995).
18. L. D. Bakalis and J. Knoester, J. Chem. Phys. 106, 6964 (1997).
19. E. Gaižauskas and L. Valkūnas, J. Phys. Chem. 101, 7321 (1997).
20. V. Malyshev, H. Glaeske, and K.-H. Feller, Opt. Commun. 140, 83 (1997).
21. T. Meier, V. Chernyak, and S. Mukamel, J. Phys. Chem. B 101, 7332 (1997).
22. T. Ritz, X. Hu, A. Damjanovic, and K. Schulten, J. Lumin. 76&77, 310 (1998).
23. R. Gadonas, R. Danielius, A. Piskarskas, and S. Rentsch, Izv. Akad. Nauk SSSR Fiz. 47, 2445 (1983) [English translation, Bull. Acad. Sci. USSR, Phys. Ser. 47, 151 (1983)].
24. R. Gadonas, R. Danielius, A. Piskarskas, T. Gillbro, and V. Sundström, in Ultrafast Phenomena in Spectroscopy, edited by Z. Rudzikas, A. Piskarskas, and R. Baltramiejūnas (World Scientific, Singapore, 1988), p. 411.
25. H. Fidder, J. Knoester, and D. A. Wiersma, J. Chem. Phys. 98, 6564 (1993).
26. A. E. Johnson, S. Kumazaki, and K. Yoshihara, Chem. Phys. Lett. 211, 511 (1993).
27. K. Minoshima, M. Taiji, K. Misawa, and T. Kobayashi, Chem. Phys. Lett. 218, 67 (1994).
28. V. F. Kamalov, I. A. Struganova, Y. Koyama, and K. Yoshihara, Chem. Phys. Lett. 226, 132 (1994).
29. M. van Burgel, D. A. Wiersma, and K. Duppen, J. Chem. Phys. 102, 20 (1995).
30. J. Moll, S. Daehne, J. R. Durrant, and D. A. Wiersma, J. Chem. Phys. 102, 6362 (1995).
31. A. Yu. Borisov, R. V. Gadonas, R. V. Danielius, A. S. Piskarskas, and A. P. Razjivin, FEBS Lett. 138, 25 (1982);
32. A. P. Razjivin, R. V. Danielius, R. V. Gadonas, A. Yu. Borisov, and A. S. Piskarskas, 143, 40 (1982);
33. R. V. Danielius, A. P. Mineyev, and A. P. Razjivin, 250, 183 (1989).
34. T. Pullerits, M. Chachisvilis, and V. Sundström, J. Phys. Chem. 100, 10787 (1996);
35. M. Chachisvilis, T. Pullerits, W. Westerhuis, C. N. Hunter, and V. Sundström, J. Phys. Chem. B 101, 7275 (1997).
36. H. Ezaki, T. Tokihiro, and E. Hanamura, Phys. Rev. B 50, 10506 (1994).
37. F. C. Spano, Chem. Phys. Lett. 234, 29 (1995).
38. F. C. Spano and E. S. Manas, J. Chem. Phys. 103, 5939 (1995).
39. G. Juzeliūnas and P. Reineker, J. Chem. Phys. 107, 9801 (1997);
40. J. Lumin. 76&77, 429 (1998).
41. J. Knoester and F. C. Spano, in J-Aggregates, edited by T. Kobayashi (World Scientific, Singapore, 1996), p. 111.
42. R. E. Merrifield, J. Chem. Phys. 31, 522 (1959).
43. V. Sundström, T. Gillbro, R. A. Gadonas, and A. Piskarskas, J. Chem. Phys. 89, 2754 (1988);
44. P. J. Reid, D. A. Higgins, and P. F. Barbara, J. Phys. Chem. 100, 3892 (1996).
45. The quantity N may not necessarily represent the physical size of the aggregate, but the coherence length of an exciton in an aggregate, as mentioned earlier (Ref. 10).
46. P. Jordan and E. Wigner, Z. Phys. 47, 631 (1928).
47. D. B. Chesnut and A. Suna, J. Chem. Phys. 39, 146 (1963).
48. V. M. Agranovich, Theory of Excitons (Nauka, Moscow, 1968) (in Russian).
49. V. M. Agranovich and M. D. Galanin, Electronic Excitation Energy Transfer in Condensed Matter (North-Holland, Amsterdam, 1982).
50. G. Vektaris, J. Chem. Phys. 101, 3031 (1994).
51. E. Montrol, J. Math. Phys. 10, 753 (1969).
52. K. Lakatos-Lindenberg, R. P. Hemenger, and R. M. Pearlstein, J. Chem. Phys. 56, 4852 (1972).
53. V. M. Agranovich, in Spectroscopy and Excitation Dynamics of Condensed Molecular Systems, edited by V. M. Agranovich and R. M. Hochstrasser (North-Holland, Amsterdam, 1983), p. 83.
54. Yet the present situation is somewhat different from that featured in the theory of biphonons and Fermi resonance (Ref. 47), as excitons and phonons are particles obeying different statistics. Specifically, phonons are bonons while excitons are quasiparticles obeying Pauli-statistics. It is the Pauli statistics of the excitons, which is responsible for the blue shift of the exciton absorption line around the exciton band-edge (Refs. 9, 10, 12 13 14, 24). Furthermore, the theory of Fermi-resonance in crystals (Ref. 47) is normally restricted to a single molecular vibration with higher frequency; this corresponds to inclusion of only one higher molecular level in our case.
55. A. S. Davydov, Theory of Molecular Excitons (Plenum, New York, 1971).
56. E. N. Economou, Green's Functions in Quantum Physics (Springer, Berlin, 1983).
57. In this discussion, it is implicitly assumed that L>0, where -L is the energy of the resonant coupling between the Fermi-excitons. In such a case, the optically allowed transitions take place to the levels situated at the bottom of the exciton band.
58. A similar conclusion has been reached by Knoester and Spano (Ref. 15) in their analysis of the two-photon absorption by a chain of three level molecules in the absence of the direct interaction between the excitons (γ=0). Specifically, it was concluded that "the two-photon allowed space splits into a chain of length of N-2 and a 'dimer' subspace" in the case where the coupling between the excitons and the higher molecular levels exceed considerably the magnitude of the resonance interaction. In the presented situation [Figs. 1(a) and 2] the coupling between the two subsystems is not so strong, yet an additional indirect attraction between the excitons leads to a similar effect. It is to be pointed out that in calculating Figs. 1(a), 2, and 3, the spectral width of higher molecular levels is taken to be very narrow Δ/2L≪1. Such a situation is similar to the model of the three-level molecular chain in which the exciton-exciton interaction is now additionally included.
59. eff.
60. G. Juzeliūnas and D. L. Andrews, Phys. Rev. B 49, 8751 (1994).