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Optical properties of fractal quantum wells
1.R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, and P. K. Battacharya, Phys. Rev. Lett. 55, 1768 (1985).
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7.In the present example, the energy dimension is filled by discrete steps and the spatial dimension is filled continuously by infinitesimal steps. Other variations are possible, such as infinitesimal energy and spatial steps. The example chosen has the advantage of producing large and easily measured changes in the optical properties.
8.The fractal quantum well discussed here can be contrasted with Fibonacci superlattices. The fractal quantum well comprises a self-similar sequence (start ABC, with many compositional changes. This sequence creates a broad energy range of many localized electronic states, useful for modifying optical properties. In constrast, Fibonacci superlattices comprise a self similar sequence (start A, corresponding to a quasiperiodic lattice, useful for creating stop bands for inhibiting transport of electrons, phonons, etc.
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10.The effect of band bending has been considered in the calculation. For simplicity, only the flat band condition is shown in Fig. 1(a). We expect that the data in the photo-pumping experiments are reasonably well described by the flatband condition.
11.See for comparison, J. Shah, Appl. Phys. Lett. 52, 2254 (1989).
12.C. H. Henry, J. Appl. Phys. 51, 4494 (1980).
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