Hyperspherical theory of anisotropic exciton

Muljarov, Egor A. ORCID: https://orcid.org/0000-0002-2878-4148, Yablonskii, A. L., Tikhodeev, S. G., Bulatov, A. E. and Birman, Joseph L. 2000. Hyperspherical theory of anisotropic exciton. Journal of Mathematical Physics 41 (9) , pp. 6026-6040. 10.1063/1.1286772

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Abstract

A new approach to the theory of anisotropic exciton based on Fock transformation, i.e., on a stereographic projection of the momentum to the unit four-dimensional (4D) sphere, is developed. Hyperspherical functions are used as a basis of the perturbation theory. The binding energies, wave functions and oscillator strengths of elongated as well as flattened excitons are obtained numerically. It is shown that with an increase of the anisotropy degree the oscillator strengths are markedly redistributed between optically active and formerly inactive states, making the latter optically active. An approximate analytical solution of the anisotropic exciton problem taking into account the angular momentum conserving terms is obtained. This solution gives the binding energies of moderately anisotropic exciton with a good accuracy and provides a useful qualitative description of the energy level evolution. © 2000 American Institute of Physics.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Uncontrolled Keywords:	excitons, oscillator strengths, wave functions, perturbation theory
Publisher:	American Institute of Physics
ISSN:	0022-2488
Last Modified:	24 Oct 2022 11:33
URI:	https://orca.cardiff.ac.uk/id/eprint/48523

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