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Carrier Dynamics in Quantum Dots: Modeling with Master Equations for the Transitions between Micro‐States
Author(s) -
Grundmann M.,
Heitz R.,
Bimberg D.,
Sandmann J. H. H.,
Feldmann J.
Publication year - 1997
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(199709)203:1<121::aid-pssb121>3.0.co;2-m
Subject(s) - master equation , quantum dot , relaxation (psychology) , exciton , rate equation , physics , semiconductor , dynamics (music) , statistical physics , quantum , constant (computer programming) , condensed matter physics , quantum mechanics , computer science , acoustics , kinetics , programming language , psychology , social psychology
We present a theoretical model for capture, inter‐level relaxation and recombination of excitons to describe time‐resolved experiments on (uncoupled) semiconductor quantum dots. Such zero‐dimensional system is fundamentally different from any other higher dimensional semiconductor structure (bulk, quantum wells, quantum wires) because the properties of individual dots are independent of the ensemble average. Master equations for the transitions between micro‐states provide an adequate modeling, while conventional rate equations for the ensemble averaged occupation probabilities fail. We apply our theory to two types of real quantum dots with fast and slow inter‐level relaxation constant, respectively.

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