Berlin 2015 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 112: Correlated Electrons: (General) Theory 3
TT 112.1: Vortrag
Freitag, 20. März 2015, 09:30–09:45, H 3010
A generalized perspective on non-perturbative linked cluster expansions — Kris Coester1, Sebastian Clever1, Frederic Herbst1, Sylvain Capponi2, and •Kai Phillip Schmidt1 — 1TU Dortmund, Dortmund, Germany — 2Université Paul Sabatier, Toulouse, France
We identify a fundamental challenge for any non-perturbative approach based on finite clusters resulting from the reduced symmetry on graphs, most importantly the breaking of translational symmetry, when targeting the properties of excited states. A generalized notion of cluster additivity is introduced, which is used to formulate an optimized scheme of graph-based continuous unitary transformations allowing to solve and to physically understand this major issue. Most importantly, it demands to go beyond the paradigm of using the exact eigenvectors on graphs.