Abstract
A theory is formulated for the elastic scattering of light through quasi-two-dimensional exciton states in a quantum well with randomly uneven walls. The nonlocal exciton susceptibility is expressed in terms of random functions describing the shape of the quantum well boundaries up to and including linear terms in the unevenness height. The resonance elastic scattering cross sections in the presence of arbitrary statistical unevenness are calculated in the Born approximation for all channels in which the initial and final states are represented by an electromagnetic TM or TE mode. The spectral and angular dependences of the scattering probability are calculated with the unevenness characterized by Gaussian correlation functions. It follows from numerical estimates that elastic scattering in quantum wells should be observed for unevenness having an rms height of the order of the thickness of an atomic monolayer.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. Schmitt-Rink, D. S. Chemla, and D. A. B. Miller, Adv. Phys. 38, 89 (1989).
E. L. Ivchenko and G. E. Pikus, Superlattices and Other Heterostructures: Symmetry and Optical Phenomena (Springer Series in Solid State Sciences, Vol. 110), Springer-Verlag, Berlin-New York (1995).
V. A. Kosobukin, Fiz. Tverd. Tela (Leningrad) 34, 3107 (1992) [Sov. Phys. Solid State 34, 1662 (1992)]; E. L. Ivchenko, A. I. Nesvizhskii, and S. Jorda, Fiz. Tverd. Tela (St. Petersburg) 36, 2118 (1994) [Phys. Solid State 36, 1156 (1994)].
F. Bechstedt and R. Enderlein, Semiconductor Surfaces and Interfaces: Their Atomic and Electronic Structure (Akademie-Verlag, Berlin, 1988; Mir, Moscow, 1990); J. Singh, K. K. Bajaj, and S. Chaudhuri, Appl. Phys. Lett. 44, 804 (1984).
J. Humlíček, E. Schmidt, L. Bočánek, R. Švehla, and K. Ploog, Phys. Rev. B 48, 5241 (1993); S. Glutsch and F. Bechstedt, Phys. Rev. B 50, 7733 (1994).
T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Koch, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, Phys. Rev. Lett. 74, 2391 (1995).
R. Zimmermann, Nuovo Cimento D 17, 1801 (1995); D. S. Citrin, Phys. Rev. B 54, 14572 (1996); R. Zimmermann, E. Runge, and F. Grosse, in Proceedings of the 23rd Conference on the Physics of Semiconductors, edited by M. Scheffler and R. Zimmermann (World Scientific, 1996), p. 1935.
V. A. Kosobukin, Solid State Commun. 108, 83 (1998).
V. A. Kosobukin and A. V. Sel’kin, JETP Lett. 44, 483 (1986); Solid State Commun. 66, 313 (1988); V. A. Kosobukin, M. I. Sazhin, and A. V. Sel’kin, Fiz. Tverd. Tela (Leningrad) 32, 1023 (1990) [Sov. Phys. Solid State 32, 602 (1990)]; Solid State Commun. 94, 947 (1995).
L. C. Andreani and F. Bassani, Phys. Rev. B 41, 7536 (1991).
E. L. Ivchenko, Fiz. Tverd. Tela (Leningrad) 33, 2388 (1991) [Sov. Phys. Solid State 33, 1344 (1991)].
E. L. Ivchenko, V. P. Kochereshko, P. S. Kop’ev, V. A. Kosobukin, I. N. Uraltsev, and D. R. Yakovlev, Solid State Commun. 70, 529 (1989).
G. Bastard, E. E. Mendez, L. L. Chang, and L. Esaki, Phys. Rev. B 26, 1974 (1982); R. L. Greene, K. K. Bajaj, and D. E. Phelps, Phys. Rev. B 29, 1807 (1984); M. Matsuura and Y. Shinozuka, J. Phys. Soc. Jpn. 53, 3138 (1984).
V. A. Kosobukin, Phys. Status Solidi B 208, 271 (1998).
A. A. Maradudin and D. L. Mills, Phys. Rev. B 11, 1392 (1975); D. L. Mills and A. A. Maradudin, Phys. Rev. B 12, 2943 (1975).
Author information
Authors and Affiliations
Additional information
Fiz. Tverd. Tela (St. Petersburg) 41, 330–336 (February 1999)
Rights and permissions
About this article
Cite this article
Kosobukin, V.A. Resonance elastic scattering of light by a quantum well with statistically uneven boundaries. Phys. Solid State 41, 296–301 (1999). https://doi.org/10.1134/1.1130771
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1130771