Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 15: Dual-Method Approaches to Quantum Many-Body Systems I

TT 15.3: Talk

Monday, March 12, 2018, 15:30–15:45, H 0104

New approach towards conceptual and numerical extensions of cluster dynamical mean-field theory — •Marcel Klett, Sabine Andergassen, and Philipp Hansmann — Institut für Theoretische Physik, Universität Tübingen, 72076 Tübingen

The dynamical mean-field theory (DMFT) provides the exact solution of a quantum many-body Hamiltonian in the limit of infinite spatial dimensions. The accurate (and non-perturbative) description of all local correlations allows to describe the Mott-Hubbard metal-to-insulator transition in three-dimensional bulk systems. At the same time, the mean-field nature with respect to the spatial degrees of freedom implies that all non-local spatial correlation effects are neglected in DMFT. These can be included in cluster extensions which have been introduced both in real and momentum space [1,2]. Here we propose an idea to improve upon typical re-periodization problems of real space cluster DMFT and discuss the transformation of the Hubbard model between lattice orbital and so-called ligand orbital basis sets.

[1] Parcollet et al., Phys. Rev. Lett 92, 226402 (2004)

[2] Kotliar et al., Phys. Rev. Lett 101, 186403 (2008)