Abstract
A new treatment of the problem of a two-dimensional Wannier-Mott exciton in a uniform electric field, based on the parabolic coordinates, is presented. The quasi-stationary Hamiltonian is regularized, and the efficient numerical methods are applied. The dependence of the exciton binding energy on the electric field is computed. The results are very close to those obtained by the perturbation theory calculations.
Similar content being viewed by others
References
V. M. Agranovich, The Theory of Excitons (Nauka, Moscow, 1968; Pergamon, Oxford, 1970).
R. S. Knox, Theory of Excitons (Academic, New York, 1963; Mir, Moscow, 1966).
E. I. Rashba and M. D. Sturge, Excitons (Nauka, Moscow, 1985).
G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Les Editions de Physique, Les Ulis Cedex, 1988).
C. B. Duke and M. E. Alferieff, Phys. Rev. 145, 583 (1966).
J. D. Dow and D. Redfield, Phys. Rev. B 1, 3358 (1970).
D. F. Blossey, Phys. Rev. B 2, 3976 (1970).
D. F. Blossey, Phys. Rev. B 3, 1382 (1971).
F. L. Lederman and J. D. Dow, Phys. Rev. B 13, 1633 (1976).
S. I. Pokutnyi, W. Salejda, J. Misiewicz, and K. Ryczko, Ukr. Phys. J. 43, 1259 (1998).
C. Y. Chao and S. L. Chuang, Phys. Rev. B 43, 6530 (1991).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (OGIZ, Moscow, 1948; Pergamon, New York, 1977).
M. Shinada and S. Sugano, J. Phys. Soc. Jpn. 21, 1936 (1966).
Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. A. Stegun (Dover, New York, 1979; Nauka, Moscow, 1979).
P. Dean, Rev. Mod. Phys. 44, 127 (1972).
J. van der Maelen Uría, S. García-Granda, and A. Menéndez-Velázques, Am. J. Phys. 64, 327 (1996).
B. Lindberg, J. Chem. Phys. 88, 3805 (1988).
E. Madelung, Die Mathematischen Hilfsmittel des Physikers (Springer-Verlag, Berlin, 1957; Nauka, Moscow, 1968).
Author information
Authors and Affiliations
Additional information
From Fizika Tverdogo Tela, Vol. 43, No. 5, 2001, pp. 888–891.
Original English Text Copyright © 2001 by Pokutnyi, Tyc, Salejda, Misiewicz.
This article was submitted in English.
Rights and permissions
About this article
Cite this article
Pokutnyi, S.I., Tyc, M.H., Salejda, W. et al. Two-dimensional Wannier-Mott exciton in a uniform electric field. Phys. Solid State 43, 923–926 (2001). https://doi.org/10.1134/1.1371378
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1371378