Data for: Testing the parquet equations and the U(1) Ward identity for real-frequency correlation functions from the multipoint numerical renormalization group

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Ritz, Nepomuk;Ge, Anxiang;Frankenbach, Markus Kilian;Pelz, Mathias;von Delft, Jan;Kugler, Fabian B.

Description

Recently, it has become possible to compute real-frequency four-point correlation functions of quantum impurity models using a multipoint extension of the numerical renormalization group (MuNRG). In this work, we perform several numerical consistency checks of the output of MuNRG by investigating exact relations between two- and four-point functions. This includes the Bethe-Salpeter equations and the Schwinger-Dyson equation from the parquet formalism, which we evaluate in two formally identical but numerically non-equivalent ways. We also study the first-order U(1) Ward identity between the vertex and the self-energy, which we derive for the first time in full generality in the real-frequency Keldysh formalism. We generally find good agreement of all relations, often up to a few percent, both at weak and at strong interaction.Access to dataData files are available for download at: https://opendata.physik.lmu.de/at1en-t9f23

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Mentions (0)

Metrics

Dataset Index

0.7

FAIR Score

69%

Citations

1

Mentions

0

Metrics Over Time

Publication Details

DOI

Publisher

LMU Munich, Faculty of Physics

License

Creative Commons Attribution 4.0 International

Assigned Domain

Subfield

Mathematical Physics

Field

Mathematics

Domain

Physical Sciences

Confidence Score

57%

Source

Scholar Data Model

Keywords

dynamical correlation functionsfour-point vertexsingle-impurity Anderson modelKeldysh formalismparquet equationsWard identitiesmultipoint numerical renormalization groupquantum field theorycorrelated electronsmany-body physics

Normalization Factors

FT

57.69

CTw

1.00

MTw

1.00