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Physical Review B - Condensed Matter and Materials PhysicsVolume 91, Issue 4, 16 January 2015, Article number 045120

Correlated starting points for the functional renormalization group(Article)(Open Access)

  • Wentzell, N.,
  • Taranto, C.,
  • Katanin, A.,
  • Toschi, A.,
  • Andergassen, S.
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  • aFaculty of Physics, University of Vienna, Boltzmanngasse 5, Vienna, 1090, Austria
  • bInstitut für Theoretische Physik and CQ Center for Collective Quantum Phenomena, Universität Tübingen, Auf der Morgenstelle 14, Tübingen, D-72076, Germany
  • cInstitute for Solid State Physics, Vienna University of Technology, Vienna, 1040, Austria
  • dInstitute of Metal Physics, Kovalevskaya Street 18, Ekaterinburg, 620990, Russian Federation
  • eUral Federal University, Ekaterinburg, 620002, Russian Federation

Abstract

We present a general frame to extend functional renormalization group (fRG) based computational schemes by using an exactly solvable interacting reference problem as starting point for the RG flow. The systematic expansion around this solution accounts for a nonperturbative inclusion of correlations. Introducing auxiliary fermionic fields by means of a Hubbard-Stratonovich transformation, we derive the flow equations for the auxiliary fields and determine the relation to the conventional weak-coupling truncation of the hierarchy of flow equations. As a specific example we consider the dynamical mean field theory (DMFT) solution as reference system, and discuss the relation to the recently introduced DMF2RG and the dual-fermion formalism. © 2015 American Physical Society.

Funding details

Funding sponsor Funding number Acronym
SFB/TRR21
  • ISSN: 10980121
  • CODEN: PRBMD
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1103/PhysRevB.91.045120
  • Document Type: Article
  • Publisher: American Physical Society


© Copyright 2015 Elsevier B.V., All rights reserved.

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