Correlated starting points for the functional renormalization group
Autor: | Alessandro Toschi, Nils Wentzell, Sabine Andergassen, Ciro Taranto, Andrey A. Katanin |
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Jazyk: | angličtina |
Rok vydání: | 2014 |
Předmět: |
Physics
Formalism (philosophy of mathematics) Condensed Matter - Strongly Correlated Electrons Dynamical mean field theory Strongly Correlated Electrons (cond-mat.str-el) Quantum mechanics FOS: Physical sciences Functional renormalization group Strongly correlated material Condensed Matter Physics General frame Electronic Optical and Magnetic Materials Mathematical physics |
Zdroj: | Phys. Rev. B Condens. Matter Mater. Phys. Physical Review B-Condensed Matter and Materials Physics |
Popis: | 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 non-perturbative 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 DMF$^2$RG and the dual-fermion formalism. 14 pages, 6 figures |
Databáze: | OpenAIRE |
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