UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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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.