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Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.58: Poster

Donnerstag, 14. März 2013, 17:00–19:00, Poster C

Green functions approach to the nonequilibrium dynamics of 3D Hubbard nano–clusters — •Sebastian Hermanns1, Karsten Balzer2, and Michael Bonitz11ITAP, Christian–Albrechts–Universität Kiel, Leibnizstr. 15, 24098 Kiel, Germany — 2Max Planck Research Department for Structural Dynamics Hamburg, Building 99 (CFEL), Luruper Chaussee 149, 22761 Hamburg, Germany

The three–dimensional Hubbard model is widely used for the description of narrow–band solid state systems in terms of sites, on which the electrons interact, and hopping amplitudes between these sites. Despite these drastic simplifications, it exhibits many physically relevant phenomena, including phase transitions from Mott–insulator to conductor or the time–dependent dynamics of strongly correlated electrons after an excitation. To describe these classes of processes, the theoretical framework of Nonequilibrium Green functions is very well suited[1], since it provides a controlled way of approximations, is non–perturbative in the exciting field and has shown good results for 1D Hubbard chains[2]. In this contribution, we show results for the response of 2× 2× 2 up to 5× 5× 5 cubic 3D Hubbard nano–clusters with on–site interaction and nearest–neighbor hopping, after different kinds and strength of excitations and compare with exact as well as other approximate methods.
[1] K. Balzer, and M. Bonitz, Nonequilibrium Green’s Functions Approach to Inhomogeneous Systems, in press (2012)
[2] K. Balzer, S. Hermanns, and M. Bonitz, submitted to J. Phys. Conf. Ser., arXiv: 1211.3036

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