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|Title:||One-particle irreducible functional approach: A route to diagrammatic extensions of the dynamical mean-field theory|
Anisimov, V. I.
Katanin, A. A.
|Citation:||One-particle irreducible functional approach: A route to diagrammatic extensions of the dynamical mean-field theory / G. Rohringer, A. Toschi, H. Hafermann [et al.] // Physical Review B - Condensed Matter and Materials Physics. — 2013. — Vol. 88. — № 11.|
|Abstract:||We present an approach which is based on the one-particle irreducible (1PI) generating functional formalism and includes electronic correlations on all length scales beyond the local correlations of dynamical mean-field theory (DMFT). This formalism allows us to unify aspects of the dynamical vertex approximation (DΓA) and the dual fermion (DF) scheme, yielding a consistent formulation of nonlocal correlations at the one- and two-particle level beyond DMFT within the functional integral formalism. In particular, the considered approach includes one-particle reducible contributions from the three- and more-particle vertices in the dual fermion approach, as well as some diagrams not included in the ladder version of DΓA. To demonstrate the applicability and physical content of the 1PI approach, we compare the diagrammatics of 1PI, DF, and DΓA, as well as the numerical results of these approaches for the half-filled Hubbard model in two dimensions. © 2013 American Physical Society.|
|Appears in Collections:||Научные публикации, проиндексированные в SCOPUS и WoS CC|
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