English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

Breakdown of Traditional Many-Body Theories for Correlated Electrons

MPS-Authors
/persons/resource/persons280006

Gunnarsson,  O.
Former Departments, Max Planck Institute for Solid State Research, Max Planck Society;
Department Nanoscale Science (Klaus Kern), Max Planck Institute for Solid State Research, Max Planck Society;
Department Electronic Structure Theory (Ali Alavi), Max Planck Institute for Solid State Research, Max Planck Society;

/persons/resource/persons280472

Schäfer,  T.
Research Group Theory of Strongly Correlated Quantum Matter (Thomas Schäfer), Max Planck Institute for Solid State Research, Max Planck Society;

/persons/resource/persons280461

Sangiovanni,  G.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;
Former Departments, Max Planck Institute for Solid State Research, Max Planck Society;

/persons/resource/persons280591

Toschi,  A.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Gunnarsson, O., Rohringer, G., Schäfer, T., Sangiovanni, G., & Toschi, A. (2017). Breakdown of Traditional Many-Body Theories for Correlated Electrons. Physical Review Letters, 119(5): 056402.


Cite as: https://hdl.handle.net/21.11116/0000-000E-D506-B
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, 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.