Breakdown of Traditional Many-Body Theories for Correlated Electrons
| Autor: | Thomas Schäfer, Alessandro Toschi, G. Rohringer, Giorgio Sangiovanni, Olle Gunnarsson |
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| Rok vydání: | 2017 |
| Předmět: |
Physics
Strongly Correlated Electrons (cond-mat.str-el) Magnetic moment FOS: Physical sciences General Physics and Astronomy 02 engineering and technology Electron Physics based 021001 nanoscience & nanotechnology 01 natural sciences Many body Vertex (geometry) Condensed Matter - Strongly Correlated Electrons 0103 physical sciences Valence bond theory Strongly correlated material Uniqueness 010306 general physics 0210 nano-technology Mathematical physics |
| Zdroj: | Physical Review Letters. 119 |
| ISSN: | 1079-7114 0031-9007 |
| DOI: | 10.1103/physrevlett.119.056402 |
| Popis: | Starting from the (Hubbard) model of an atom, we demonstrate that the uniqueness of the mapping from the interacting to the noninteracting Green's function, $G\to G_0$, 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 non-perturbative manifestations to the progressive suppression of the charge susceptibility induced by the formation of local magnetic moments and/or RVB states in strongly correlated electron systems. 5 pages, 3 figures |
| Databáze: | OpenAIRE |
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