Breakdown of Traditional Many-Body Theories for Correlated Electrons

O. Gunnarsson, G. Rohringer, T. Schäfer, G. Sangiovanni, and A. Toschi
Phys. Rev. Lett. 119, 056402 – Published 4 August 2017
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Abstract

Starting from the (Hubbard) model of an atom, we demonstrate that the uniqueness of the mapping from the interacting to the noninteracting Green function, GG0, is strongly violated, by providing numerous explicit examples of different G0 leading to the same physical G. We argue that there are indeed infinitely many such G0, 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.

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  • Received 31 March 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.056402

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

O. Gunnarsson1, G. Rohringer2, T. Schäfer3, G. Sangiovanni4, and A. Toschi3

  • 1Max-Planck-Institut für Festkörperforschung, Heisenbergstraße 1, D-70569 Stuttgart, Germany
  • 2Russian Quantum Center, Novaya street, 100, Skolkovo, Moscow region 143025, Russia
  • 3Institute of solid state physics, Technische Universität Wien, 1040 Vienna, Austria
  • 4Institute of Physics and Astrophysics, University of Würzburg, Würzburg 97074, Germany

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Issue

Vol. 119, Iss. 5 — 4 August 2017

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