Publication: Dynamical phenomena in Fibonacci semiconductor superlattices
Loading...
Official URL
Full text at PDC
Publication Date
1996-12-15
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Citations
Exportar
Abstract
We present a detailed study of the dynamics of electronic wave packets in Fibonacci semiconductor superlattices, both in flat band conditions and subject to homogeneous electric fields perpendicular to the layers. Coherent propagation of electrons is described by means of a scalar Hamiltonian using the effective-mass approximation. We have found that an initial Gaussian wave packet is filtered selectively when passing through the superlattice. This means that only those components of the wave packer whose wave numbers belong to allowed subminibands of the fractal-like energy spectrum can propagate over the entire superlattice. The Fourier pattern of the transmitted part of the wave packet presents clear evidences of fractality reproducing those of the underlying energy spectrum. This phenomenon persists even in the presence of unintentional disorder due to growth-induced defects. Finally, we have demonstrated that periodic coherent-field-induced oscillations (Bloch oscillations), which we are able to observe in our simulations of periodic superlattices, are replaced in Fibonacci superlattices by more complex oscillations displaying quasiperiodic signatures, thus shedding more light onto the very peculiar nature of the electronic states in these systems.
Description
© 1996 The American Physical Society.
F. D.-A. and A. S. are thankful to Alan R. Bishop for the warm hospitality enjoyed during their stay at Los Alamos. Work at Madrid and Leganés has been supported by CICYT (Spain) under project No. MAT95-0325. Work at Los Alamos is performed under the auspices of the U.S. DOE
UCM subjects
Unesco subjects
Keywords
Citation
1. R. Merlin, K. Bajema, R. Clarke, F.-Y. Juang, and P. Bhattacharya, Phys. Rev. Lett. 55, 1768 (1985).
2. R. Merlin, K. Bajema, J. Nagle, and K. Ploog, J. Phys. (France) Colloq. 48, C5-503 (1987).
3. R. Merlin, IEEE J. Quantum Electron. 24, 1791 (1988).
4. F. Laruelle and B. Etienne, Phys. Rev. B 37, 4816 (1988).
5. A. A. Yamaguchi, T. Saiki, T. Tada, T. Ninomiya, K. Misawa, and T. Kobayashi, Solid State Commun. 75, 955 (1990).
6. D. Toet, M. Potemski, Y. Y. Wang, J. C. Maan, L. Tapfer, and K. Ploog, Phys. Rev. Lett. 66, 2128 (1991).
7. K. Hirose, D. Y. K. Ko, and H. Kamimura, J. Phys. Condens. Matter 4, 5947 (1992).
8. D. Munzar, L. Bocáek, J. Humlícek, and K. Ploog, J. Phys. Condens. Matter 6, 4107 (1994).
9. E. Maciá, F. Domínguez-Adame, and A. Sánchez, Phys. Rev. B 49, 9503 (1994).
10. F. Domínguez-Adame, E. Maciá, and B. Méndez, Phys. Lett. A 194, 184 (1994).
11. F. Domínguez-Adame, E. Maciá, B. Méndez, C. L. Roy, and A. Khan, Semicond. Sci. Technol. 10, 797 (1995).
12. M. Kohmoto, L. P. Kadanoff, and C. Tang, Phys. Rev. Lett. 50, 1870 (1983).
13. C. S. Ryu, G. Y. Oh, and M. H. Lee, Phys. Rev. B 48, 132 (1993).
14. F. Bloch, Z. Phys. 52, 555 (1928); C. Zener, Proc. R. Soc. London Ser. A 145, 523 (1934).
15. M. Dignam, J. E. Sipe, and J. Shah, Phys. Rev. B 49, 10 502 (1994).
16. K. Leo, P. Haring, F. Brüggemann, R. Schwedler, and K. Köhler, Solid State Commun. 84, 943 (1992).
17. J. Feldmann, K. Leo, J. Shah, D. A. B. Miller, J. E. Cunningham, T. Meier, G. von Plessen, A. Schulze, P. Thomas, and S. Schmitt-Rink, Phys. Rev. B 46, 7252 (1992).
18. G. von Plessen and P. Thomas, Phys. Rev. B 45, 9185 (1992).
19. K. A. Maäder, L. -W. Wang, and A. Zunger, J. Appl. Phys. 78, 6639 (1995).
20. E. Maciá and F. Domínguez-Adame, Phys. Rev. Lett. 76, 2957 (1996).
21. See W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Wetterling, Numerical Recipes (Cambridge University Press, New York, 1986).
22. A. M. Bouchard and M. Luban, Phys. Rev. B 52, 5105 (1995).
23. P. Leisching, P. Haring Bolivar, W. Beck, Y. Dhaibi, F. Brüggemann, R. Schwedler, H. Kurz, K. Leo, and K. Köhler, Phys. Rev. B 50, 14 389 (1994).
24. F. Domínguez-Adame, A. Sánchez, and E. Diez, Phys. Rev. B 50, 17 736 (1994).
25. E. Maciá, F. Domıínguez-Adame, and A. Sánchez, Phys. Rev. E 50, R679 (1994).
26. E. Maciá and F. Domínguez-Adame, Semicond. Sci. Technol. 11, 1041 (1996).
27. P. E. de Brito, C. A. A. da Silva, and H. N. Nazareno, Phys. Rev. B 51, 6096 (1995).
28. F. Domínguez-Adame and E. Maciá, Phys. Lett. A 200, 69 (1995).