Data for: Testing the parquet equations and the U(1) Ward identity for real-frequency correlation functions from the multipoint numerical renormalization group
Creators
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 data
Data files are available for download at: https://opendata.physik.lmu.de/at1en-t9f23Additional details
Related works
- Is supplement to
- 10.1103/3jtq-5wf5 (DOI)
Dates
- Issued
-
2025-04-03