https://doi.org/10.1140/epjb/s10051-022-00329-6
Regular Article - Computational Methods
The plain and simple parquet approximation: single-and multi-boson exchange in the two-dimensional Hubbard model
Institute of Solid State Physics, TU Wien, 1040, Vienna, Austria
Received:
31
January
2022
Accepted:
1
April
2022
Published online:
21
April
2022
The parquet approach to vertex corrections is unbiased but computationally demanding. Most applications are therefore restricted to small cluster sizes or rely on various simplifying approximations. We have recently shown that the bosonization of the parquet diagrams provides interpretative and algorithmic advantages over the original purely fermionic formulation. Here, we present first results of the numerical implementation of this method by applying it to the half-filled Hubbard model on the square lattice at weak coupling. The improved algorithmic performance allows us to evaluate the parquet approximation for a 
lattice, retaining the full momentum and frequency structure of the various vertex functions. We discuss their symmetries and consider parametrizations of their momentum dependence using the truncated-unity approximation.
Recent Developments in the Functional Renormalization Group Approach to Correlated Electron Systems. Guest editors: Carsten Honerkamp, Dante Kennes, Volker Meden, Michael Scherer, Ronny Thomale.
© The Author(s) 2022
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