Berlin 2015 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 71: Correlated Electrons: Poster Session

TT 71.10: Poster

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

Multi-impurity Anderson models: geometry and entanglement — •Benjamin Mille, Tizian Müller, and Ralf Bulla — Institut für Theoretische Physik, Universität zu Köln

Block-tridiagonalisation methods allow to map multi-impurity Anderson models in arbitrary geometry and dimension onto models of M coupled chains (M = number of impurities). The resulting chain model can then be used as a starting point for renormalization group and iterative methods. Here we discuss how to combine the logarithmic discretization - an essential feature of Wilson's Numerical Renormalization Group - with the general tridiagonalisation scheme. This corresponds to the mapping of the original model onto a Wilson ladder, the generalization of the Wilson chain obtained for the single-impurity case. Furthermore we investigate - via exact diagonalization of small clusters - how the entanglement between two spatially separated Anderson impurities falls off with their distance.