Abstract
The scattering-theoretic T-matrix method is used to calculate the subband structures of GaAs−ZnSe and ZnSe−ZnSxSe1−x [001] quantum wells within an empirical tight-binding model, that includes the bulk Г6, Г7 and Г8 valence- and conduction bands. The resulting confinement energies for vanishing lateral crystal momentumk ‖ are compared with those, that are obtained from a simple effective mass model and effects are found and predicted which the effective mass model cannot account for. The effect of the band nonparabolicity and the influence of the microscopic sequence of atomic layers, which determines the symmetry properties of a quantum well, are studied for the GaAs−ZnSe wells.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Kane, E.O.: Semiconductors and semimetals, Vol. 1, p. 75. New York: Academic Press 1966
Bastard, G., Brum, J.A., Ferreira, R.: Solid state physics—advances in research and applications, vol. 44, p. 229. New York: Academic Press 1991
Weisbuch, C., Winter, B.: Quantum semiconductor structures: fundamentals and applications. San Diego: Academic Press 1991
Rössler, U., Malcher, F., Ziegler, A.: Properties of impurity states in superlattice semiconductors; Ciraci Nato ASI Series B: Physics, Vol. 183, p. 219. New York: Plenum Press 1988
Andreani, L.C., Pasquarello, A.: Phys. Rev. B42, 8928 (1990)
Winkler, R.: Ph.D. thesis, Universität Regensburg 1994
Chang, Y.-C., Schulman, J.N.: Phys. Rev. B31, 2069 (1985)
Schulman, J.N., Chang, Y.-C.: Phys. Rev. B27, 2346 (1983)
Schulman, J.N., Chang, Y.C.: Phys. Rev. B31, 2056 (1985)
Jouanin, C., Bertho, D., Benoit, C.: Phys. Rev. B47, 3706 (1993)
Pollmann, J. Festköreperprobleme. Advances in Solid State Physics, vol. XX, p. 117. Braunschweig: Vieweg 1980
Pollmann, J., Pantelides, S.T.: Phys. Rev. B21 709 (1980)
Krüger, P., Pollman, J.: Phys. Rev. B30, 3406 (1984)
Lee, D.H., Joannopoulos, J.D.: Phys. Rev. B23, 4997 (1981)
Kim, G., Choi, Y.-W., Park, P.W., Chu, H.Y., Lee, E.-H., Arnold, G.B.: Phys. Rev. B50, 7582 (1994)
Kobayashi, A., Sankey, O.F., Dow, J.D.: Phys. Rev. B25, 6367 (1982)
Priester, C., Allan, G., Lannoo, M.: Phys. Rev. B37, 8519 (1988)
Priester, C., Allan, G., Lannoo, M.: Phys. Rev. B38, 13451 (1988)
Bertho, D., Boiron, D., Simon, A., Jouanin, C., Priester, C.: Phys. Rev. B44, 6118 (1991)
Vogl, P., Hjalmarson, H.P.: J. Phys. Chem. Solids44, 365 (1983)
Chadi, D.J.: Phys. Rev. B16, 790 (1977)
Landolt-Börnstein. Numerical Data and Functional Relationships in Science and Technology, Group III, vol. 22a. Berlin, Heidelberg, New York: Springer 1987
Hölscher, H.W., Nöthe, A., Uihlein, Ch.: Phys. Rev. B31, 2379 (1985)
Sondergeld, M.: Phys. Status Solidi B81, 253 (1977)
Landolt-Börnstein: Numerical Data and Functional Relationships in Science and Technology, Group III, vol. 17a. Berlin, Heidelberg, New York: Springer 1982
Landolt-Börnstein: Numerical Data and Functional Relationships in Science and Technology, Group III, vol. 17b. Berlin, Heidelberg, New York: Springer 1982
Desclaux, J.P.: At. Data Nucl. Data Tables12, 311 (1973)
Economou, E.N.: Green's functions in quantum physics. Berlin, Heidelberg, New York: Springer 1979 and 1983
Yu, E.T., McCaldin, J.O., McGill, T.C.: Solid-State Physics-Advances in Research and Applications, vol. 46 p. 1. New York: Academic Press 1992
Van de Walle, C.G.: Phys. Rev. B35, 8154 (1987)
Cardona, M., Christensen, N.E., Fasol, G.: Phys. Rev. B38, 1806 (1988)
Andreani, L.C.: Ph.D. thesis, Scuola Normale Superiores Pisa 1989
Shazad, K., Olego, D.J., Van de Walle, C.G.: Phys. Rev. B38, 1417 (1988)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dierks, H., Czycholl, G. Tight-binding calculations of the subband structures of zincblende-semiconductor [001] quantum wells. Z. Phys. B - Condensed Matter 99, 207–217 (1995). https://doi.org/10.1007/BF02769934
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02769934