Summary
We calculate the binding energy of a two-dimensional exciton for a set of states labelled by the quantum numberm associated to the angular momentum in the direction perpendicular to the surface. The Fröhlich electron-phonon and hole-phonon interactions are taken into account. The statem=0 is more bound with respect to that obtained by the Wannier exciton theory with the screening given by the static dielectric constant and the reduced mass calculated by the electron and hole polaronic masses. The opposite effect is found for the statem=1,2,... Whenm becomes large, the hydrogenic series is recovered with the screening and reduced mass defined above. Our results are compared with the experimental data concerning exciton luminescence GaAs/Al x Ga1−x As, CuCl/CaF2 and CdTe/Cd1−x Zn x Te quantum wells.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Pollman andH. Büttner:Solid State Commun.,17, 1171 (1975);Phys. Rev. B,16, 4480 (1977);S. Bednarek, J. Adamowski andM. Suffczynski:Solid State Commun.,21, 1 (1977);E. O. Kane:Phys. Rev. B,18, 6849 (1978);M. Matsuura andH. Büttner:Phys. Rev. B.,21, 679 (1980).G. Iadonisi andF. Bassani:Nuovo Cimento D,3, 154 (1989).
G. Iadonisi F. Bassani andG. Strinati:Phys. Status Solidi (b),153, 611 (1989).
See,e. g. F. Bassani andG. Pastori Parravicini:Electronic States and Optical Transitions in Solids (Pergamon Press, Oxford, 1975).
J. Ringeisen, S. Lewonczuk, A. Coret andS. Nikitine:Phys. Lett.,22, 571 (1966);J. Ringseisen andS. Nikitine:J. Phys. (Paris),28, C-3, 48 (1967);A. Bivas andC. Marange:J. Phys. (Paris),35, C-3, 39 (1974).
L. Viña, R. T. Collins, E. E. Mendez andW. I. Wang:Phys. Rev. Lett.,58, 832 (1987);Y. Chen, R. Cingolani, L. C. Andreani, F. Bassani andJ. Massies:Nuovo Cimento D,10, 847 (1988).
L. C. Andreani andA. Pasquarello:Europhys. Lett.,6, 259 (1988);L. C. Andreani andA. Pasquarello:Superlattices and Microstructures,5, 59 (1989).
J. J. Licari andR. Evrard:Phys. Rev. B,15, 2254 (1977).
B. A. Vojak, N. Holonyak Jr., W. D. Laidig, K. Hess, J. J. Coleman andP. D. Dapkus:Solid State Commun.,35, 477 (1980).
E. S. Koteles andJ. Y. Chi:Phys. Rev. B,37, 6332 (1988).
R. C. Miller andD. A. Kleinman:J. Lumin.,30, 520 (1985).
Y. Segawa, J. Kusano, Y. Aoyagi andS. Namba: in19th Conference on the Physics of Semi-conductors, edited byW. Zawadzki (Warsaw, 1988), p. 437.
H. Mariette, F. Dalbo, N. Magnea, G. Lentz andH. Tuffigo:Phys. Rev. B,38, 12443 (1988).
G. Strinati:J. Math. Phys.,28, 981 (1987).
T. D. Lee, F. E. Low andD. Pines:Phys. Rev.,90, 297 (1953).
M. Abramowitz andI. A. Stegun:Handbook of Mathematical Functions (National Bureau of Standards, Washington, D.C., 1970).
A. D'Andrea, R. Del Sole andK. Cho:Exciton quantization in CdTethin films, to be published.
R. L. Greene andK. K. Bajaj:Solid State Commun.,45, 831 (1983).
Author information
Authors and Affiliations
Additional information
The authors of this paper have agreed to not receive the proofs for correction.
Rights and permissions
About this article
Cite this article
Geddo, M., Iadonisi, G. Polaronic effects on two-dimensional excitons. Il Nuovo Cimento D 12, 1641–1650 (1990). https://doi.org/10.1007/BF02451264
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02451264