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UNIVERSITY OF BUCHAREST FACULTY OF PHYSICS Guest 2024-11-23 18:02 |
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Conference: Bucharest University Faculty of Physics 2014 Meeting
Section: Theoretical Physics and Applied Mathematics
Title: Exciton Linear Absorption Coefficient for Solutions of Colloidal Semiconductor Quantum Dots
Authors: T. E. PAHOMI, T. O. CHECHE
Affiliation: (1) Faculty of Physics, University of Bucharest, RO-077125, Măgurele - Bucharest, Romania, EU
E-mail tudor.pahomi@gmail.com
Keywords: Exciton, Optical Absorption, Oscillator Strength, Quantum Dot
Abstract: Expression of the exciton linear absorption coefficient for a solution of colloidal semiconductor quantum dots (QDs) is obtained within a many-body treatment. To write the exciton QD Hamiltonian we use second quantization formalism for a system of fermions. The exciton-light interaction is considered within the semi-classical approach by introducing an appropriate definition of the momentum operator for the QD fermion system. Analogy with the Slater determinants technique in obtaining the QD Hamiltonian and the optical matrix element of the optical transition is presented. The linear absorption coefficient is obtained by two equivalent methods, namely, the Fermi golden rule and the optical susceptibility method. The oscillator strength, the main ingredient of the algebraic expression, is obtained for a direct band gap semiconductor by using the Kane momentum matrix element.
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