期刊
PHYSICAL REVIEW B
卷 88, 期 11, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.115112
关键词
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资金
- Austrian-Russian joint project from the Austrian Science Fund (FWF) [I-610-N16]
- Russian Fund of Basic Research (RFBR) [10-02-91003-ANFa]
- RFBR [13-02-00050]
- Russian Academy of Science [12-P-2-1017, 12-M-23-2020]
- Ministry of education and science of Russia [14.18.21.0076]
- European Research Council under the European Union [306447]
- Austrian Science Fund (FWF) [I 610] Funding Source: researchfish
- Austrian Science Fund (FWF) [I610] Funding Source: Austrian Science Fund (FWF)
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 (D Gamma A) 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 D Gamma A. To demonstrate the applicability and physical content of the 1PI approach, we compare the diagrammatics of 1PI, DF, and D Gamma A, as well as the numerical results of these approaches for the half-filled Hubbard model in two dimensions.
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