Regensburg 2016 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 71: Quantum Dots and Wires: Optical Properties

HL 71.2: Talk

Thursday, March 10, 2016, 09:45–10:00, H15

Efficient numerical method for calculating Coulomb coupling elements and its application to two dimensional spectroscopy — •Anke Zimmermann and Marten Richter — Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, EW 7-1, Technische Universität Berlin, Germany

The Coulomb coupling is essential for the understanding of several physical processes and plays an important role in a variety of nanostructures. Typically, to calculate the matrix elements of the two-particle Coulomb interaction, a six dimensional spatial integral appears. If the system requires the calculation of a high number of coupling elements, an efficient method for a fast numerical calculation of the Coulomb interaction is needed.

To reduce the numerical complexity of the calculation of Coulomb coupling elements in real space, a Green's function formulation of a generalized Poisson equation is used. The presented method, which is flexible and works for arbitrary geometries and inhomogeneous media, enables a fast calculation of Coulomb coupling elements, since the number of integrals is decreased.

The Coulomb interaction between two colloidal quantum dots depends on the spatial distance and the relative dipole orientation of the nanostructures. To identify the effects of the spatially dependent Coulomb coupling on single excitons and biexcitons, two dimensional spectroscopy can be used. The characteristic optical signatures of different spatial arrangements of the colloidal quantum dots are calculated and discussed.