# Berlin 2015 – wissenschaftliches Programm

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# TT: Fachverband Tiefe Temperaturen

## TT 71: Correlated Electrons: Poster Session

### TT 71.76: Poster

### Mittwoch, 18. März 2015, 15:00–18:00, Poster B

**Electronic correlations at the two-particle level: from bulk to the nanoscale** — •Angelo Valli^{1,2}, Thomas Schäfer^{2}, Patrik Thunström^{2}, Georg Rohringer^{2}, Sabine Andergassen^{3}, Giorgio Sangiovanni^{4}, Karsten Held^{2}, and Alessandro Toschi^{2} — ^{1}Democritos National Simulation Center, Consiglio Nazionale delle Ricerche, Istituto Of- ficina dei Materiali (IOM) and Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy — ^{2}Institute of Solid State Physics, Vienna University of Technology, Vienna, Austria — ^{3}Institute for Theoretical Physics and CQ center for collective quantum phenomena, University of Tübingen, Tübingen, German — ^{4}Institute of Theoretical Physics and Astrophysics, University of Würzburg, Würzburg, Germany

We discuss the properties of local two-particle vertex functions within the framework of dynamical mean-field theory (DMFT). Their knowledge is required, e.g., to compute the local vertex corrections to dynamical response functions, and in order to include non-local spatial correlations within diagrammatic extensions of DMFT. Within the dynamical vertex approximation (DΓA) non-local spatial correlations can be generated by the (self-consistent) numerical solution of the parquet equations. This allows to treat fluctuations in all particle-hole and particle-particle scattering channels on equal footing, and to describe their interplay. As an application, we show how the information enclosed in the local vertex of DMFT can be exploited to *disentangle* the role of local and non-local correlations in Hubbard nano clusters.