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Ultrafast dynamics of excitons in delafossite thin films
8.H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors (World Scientific, Singapore, 2004).
11.It should be noted that the familiar expressions of the Elliott formula (the classical interband absorption) can be recovered under a low- (high-) density limits corresponding to .
13.The time constants were extracted by a convolution fit with a response function of exponentials and a step function.
14.Results on the measurements for on a different substrate were essentially similar except the intensity ratio between negative and positive wings in the spectra of .
15.In the calculation of , we used the broadening parameter somewhat greater than the one evaluated from the absorption spectrum, which is probably due to the local heating of the sample by the laser beams.
17.C. F. Klingshirn, Semiconductor Optics (Springer, New York, 1990), Chap. 20, p. 512.
18.The evaluated density is approximately two orders of magnitude smaller than that estimated from the excitation photon flux and spot size. The difference may stem from the fact that some of the impinged photon fluxes were consumed by a coherent two-photon absorption process as demonstrated by the spikelike instantaneous response in the pump-probe time traces and that the carrier density determined from the fluxes tends to suffer from some inaccuracy.
19.Y. H. Lee, A. Chavez-Pirson, S. W. Koch, H. M. Gibbs, S. H. Park, J. Morhange, A. Jeffery, N. Peyghambarian, L. Banyai, A. C. Gossard, and W. Wiegmann, Phys. Rev. Lett. 57, 2446 (1986).
20.The pump-probe traces could be understood as if they are determined by the time evolution of the exciton density, suggesting that hot electron-hole pairs play minor role in screening the excitons.
24.K. P. Korona, A. Wysmolek, K. Pakula, R. Stepniewski, J. Baranowski, I. Grzegory, B. Lucznik, M. Wrobleski, and S. Porowski, Appl. Phys. Lett. 69, 788 (1996).
25.T. Makino, C. H. Chia, N. T. Tuan, Y. Segawa, M. Kawasaki, A. Ohtomo, K. Tamura, and H. Koinuma, Appl. Phys. Lett. 76, 3549 (2000).
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