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Calculation of the electronic energy eigenvalues and eigenstates and Coulomb and dipole matrix elements for realistically modelled quantum dots

Subject Area Theoretical Condensed Matter Physics
Term from 2003 to 2010
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 5470211
 
Using the information on the structure and the composition of the actual quantum dots from the experimental projects I-2, II-1 the electronic properties, i.e. the one-particle eigenenergies and the eigenstates shall be determined starting either from an effective confinement potential characterizing the QD or from a more microscopic tight-binding description of the QD. From the eigenstates one can calculate all one-particle and two-particle matrix elements, in particular the dipole matrix elements, which are important for the selection rules and thus for a calculation of the optical properties, and the Coulomb matrix elements. This leads to an effective Hamiltonian in second quantization with parameters determined for the actual QD. For a small number of electrons per QD this Hamiltonian can be solved exactly, otherwise an appropriate many-body approximation has to be applied to determine the relevant electronic properties including many-body effects.
DFG Programme Research Units
 
 

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