PMID- 28949722 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20180205 LR - 20180205 IS - 1079-7114 (Electronic) IS - 0031-9007 (Linking) VI - 119 IP - 5 DP - 2017 Aug 4 TI - Breakdown of Traditional Many-Body Theories for Correlated Electrons. PG - 056402 LID - 10.1103/PhysRevLett.119.056402 [doi] AB - Starting from the (Hubbard) model of an atom, we demonstrate that the uniqueness of the mapping from the interacting to the noninteracting Green function, G-->G_0, is strongly violated, by providing numerous explicit examples of different G_0 leading to the same physical G. We argue that there are indeed infinitely many such G_0, with numerous crossings with the physical solution. We show that this rich functional structure is directly related to the divergence of certain classes of (irreducible vertex) diagrams, with important consequences for traditional many-body physics based on diagrammatic expansions. Physically, we ascribe the onset of these highly nonperturbative manifestations to the progressive suppression of the charge susceptibility induced by the formation of local magnetic moments and/or resonating valence bond (RVB) states in strongly correlated electron systems. FAU - Gunnarsson, O AU - Gunnarsson O AD - Max-Planck-Institut fur Festkorperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany. FAU - Rohringer, G AU - Rohringer G AD - Russian Quantum Center, Novaya street, 100, Skolkovo, Moscow region 143025, Russia. FAU - Schafer, T AU - Schafer T AD - Institute of solid state physics, Technische Universitat Wien, 1040 Vienna, Austria. FAU - Sangiovanni, G AU - Sangiovanni G AD - Institute of Physics and Astrophysics, University of Wurzburg, Wurzburg 97074, Germany. FAU - Toschi, A AU - Toschi A AD - Institute of solid state physics, Technische Universitat Wien, 1040 Vienna, Austria. LA - eng PT - Journal Article DEP - 20170804 PL - United States TA - Phys Rev Lett JT - Physical review letters JID - 0401141 EDAT- 2017/09/28 06:00 MHDA- 2017/09/28 06:01 CRDT- 2017/09/27 06:00 PHST- 2017/03/31 00:00 [received] PHST- 2017/09/27 06:00 [entrez] PHST- 2017/09/28 06:00 [pubmed] PHST- 2017/09/28 06:01 [medline] AID - 10.1103/PhysRevLett.119.056402 [doi] PST - ppublish SO - Phys Rev Lett. 2017 Aug 4;119(5):056402. doi: 10.1103/PhysRevLett.119.056402. Epub 2017 Aug 4.