Dresden 2006 – scientific programme

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HL: Halbleiterphysik

HL 50: Poster II

HL 50.64: Poster

Thursday, March 30, 2006, 16:30–19:00, P3

Energy spectrum of strongly correlated electrons and indirect excitons in quantum dots — •Karsten Balzer, Christoph Nölle, Michael Bonitz, and Alexei Filinov — Christian-Albrechts-Universität Kiel, Institut für Theoretische Physik und Astrophysik, Leibnizstr. 15, 24098 Kiel, Germany

In the limit of strong correlations finite electron and exciton systems in quantum dots show Fermi liquid behavior and Wigner crystallization. Wigner crystals of electrons [1] and excitons [2] are predicted to occur in semiconductor quantum dots or in quantum wells with an external electrostatic confinement. Path integral Monte Carlo (PIMC) simulations have allowed to compute the density matrix from first principles [1,2]. However, they cannot directly yield the energy spectrum and wave functions which give access to the optical and transport properties.

Here we develop an analytical approach to the many-particle wave function and energy spectrum of electrons and indirect excitons in the strong-coupling limit which is based on an expansion in terms of collective eigenmodes [3]. Exact solutions are obtained for small particle numbers by direct diagonalization. For larger systems, a new method is introduced which allows one to reconstruct the energy spectrum and wave function from first principle PIMC results for the density distribution.

[1] A. Filinov, M. Bonitz and Yu.E. Lozovik, Phys. Rev. Lett. 86, 3851 (2001). [2] A.V. Filinov. P. Ludwig, V. Golubnychyi, M. Bonitz and Yu.E. Lozovik, phys. stat. sol. (c) 0, No 5, 1518-1522 (2003). [3] K. Balzer et al., J. Phys.: Conf. Series (2005), accepted (arXiv:cond-mat/0511337)