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Optical nonlinearities in multiple quantum wells: Generalized Elliott formula

Optical nonlinearities in multiple quantum wells: Generalized Elliott formula Excitonic nonlinearities due to plasma effects in quantum-well structures under quasistationary excitation can be reproduced by appropriate many-body treatments, which usually require numerical calculations that may become computationally intensive. An alternative approach is based on analytical approximations; however, this has not been examined carefully so far. In this paper we present the analytical calculation of the optical properties of quasi-two-dimensional, type-I semiconductor quantum wells, at varying plasma densities and accounting for one conduction band and two valence subbands. This has been developed based on the two-dimensional version of the Elliott formula and on some analytical approximations already known in part. The obtained analytical results are scalable to a considerable range of constituent materials and of quantum-well thicknesses. These results are compared with the numerical solutions achieved within a more complete many-body approach, based on the Bethe-Salpeter equation, and with experimental results obtained in a pump-probe experiment. The comparison provides general guidelines on the accuracy and on the limitations of the analytical approach applicable to the case of quasi-two-dimensional excitons when multisubband and finite-size effects are included. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Optical nonlinearities in multiple quantum wells: Generalized Elliott formula

Physical Review B , Volume 51 (16) – Apr 15, 1995
10 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1995 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.51.10719
Publisher site
See Article on Publisher Site

Abstract

Excitonic nonlinearities due to plasma effects in quantum-well structures under quasistationary excitation can be reproduced by appropriate many-body treatments, which usually require numerical calculations that may become computationally intensive. An alternative approach is based on analytical approximations; however, this has not been examined carefully so far. In this paper we present the analytical calculation of the optical properties of quasi-two-dimensional, type-I semiconductor quantum wells, at varying plasma densities and accounting for one conduction band and two valence subbands. This has been developed based on the two-dimensional version of the Elliott formula and on some analytical approximations already known in part. The obtained analytical results are scalable to a considerable range of constituent materials and of quantum-well thicknesses. These results are compared with the numerical solutions achieved within a more complete many-body approach, based on the Bethe-Salpeter equation, and with experimental results obtained in a pump-probe experiment. The comparison provides general guidelines on the accuracy and on the limitations of the analytical approach applicable to the case of quasi-two-dimensional excitons when multisubband and finite-size effects are included.

Journal

Physical Review BAmerican Physical Society (APS)

Published: Apr 15, 1995

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