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- W2624351505 abstract "We present an embedded-cluster method, based on the triply irreducible local expansion formalism. It turns the Fierz ambiguity, inherent to approaches based on a bosonic decoupling of local fermionic interactions, into a convergence criterion. It is based on the approximation of the three-leg vertex by a coarse-grained vertex computed from a self-consistently determined cluster impurity model. The computed self-energies are, by construction, continuous functions of momentum. We show that, in three interaction and doping regimes of the two-dimensional Hubbard model, self-energies obtained with clusters of size four only are very close to numerically exact benchmark results. We show that the Fierz parameter, which parametrizes the freedom in the Hubbard-Stratonovich decoupling, can be used as a quality control parameter. By contrast, the $GW+mathrm{extended}$ dynamical mean field theory approximation with four cluster sites is shown to yield good results only in the weak-coupling regime and for a particular decoupling. Finally, we show that the vertex has spatially nonlocal components only at low Matsubara frequencies." @default.
- W2624351505 created "2017-06-15" @default.
- W2624351505 creator A5007865102 @default.
- W2624351505 creator A5026455979 @default.
- W2624351505 creator A5043334411 @default.
- W2624351505 date "2017-10-16" @default.
- W2624351505 modified "2023-10-17" @default.
- W2624351505 title "Fierz Convergence Criterion: A Controlled Approach to Strongly Interacting Systems with Small Embedded Clusters" @default.
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- W2624351505 doi "https://doi.org/10.1103/physrevlett.119.166401" @default.
- W2624351505 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/29099214" @default.
- W2624351505 hasPublicationYear "2017" @default.
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