Coupled exciton model with off-diagonal disorder for optical excitations in extended dendrimers

Abstract

A phenomenological coupled exciton model is proposed in order to characterize optical excitations in extended dendrimers. An onsite exciton state is assigned at each phenyl ring and a nearest neighbor hopping integral which obeys the Gaussian distribution is considered between the exciton states. The decreasing optical excitation energy with respect to the dendrimer size indicates the presence of exciton funnels along the backbone of the dendrimers. Therefore, the extended dendrimers can work as artificial fractal antenna systems which capture energy of light.

References

1. Z. Xu and J. S. Moore, Acta Polym., 1994, 45, 83.
2. C. Devadoss, P. Bharathi and J. S. Moore, J. Am. Chem. Soc., 1996, 118, 9635.
3. R. Kopelman, M. Shortreed, Z. Y. Shi, W. Tan, Z. Xu, J. S. Moore, A. Bar-Haim and J. Klafter, Phys. Rev. Lett., 1997, 78, 1239.
4. M. R. Shortreed, S. F. Swallen, Z. Y. Shi, W. Tan, Z. Xu, C. Devadoss, J. S. Moore and R. Kopelman, J. Chem. Phys., 1997, 101, 6318.
5. S. F. Swallen, Z. Y. Shi, W. Tan, Z. Xu, J. S. Moore and R. Kopelman, J. Lumin., 1998, 76&77, 193.
6. R. W. Wagner, T. E. Johnson and J. S. Lindsey, J. Am. Chem. Soc., 1996, 118, 11166.
7. A. Bar-Haim and J. S. Klafter, J. Lumin., 1998, 76&77, 197.
8. T. Ritz, X. Hu, A. Damjanović and K. Schulten, J. Lumin., 1998, 76&77, 310.
9. F. C. Spano, J. R. Kuklinski and S. Mukamel, Phys. Rev. Lett., 1990, 65, 211.
10. F. C. Spano, J. R. Kuklinski and S. Mukamel, J. Chem. Phys., 1991, 94, 7534.
11. T. Kato, F. Sasaki, S. Abe and S. Kobayashi, Chem. Phys., 1998, 230, 209.
12. Dendrimers, ed. F. Vögtle, Springer, Berlin, 1998.