Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model

T Schäfer, N Wentzell, F Šimkovic IV, YY He, C Hille… - Physical Review X, 2021 - APS
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains

H Shinaoka, M Wallerberger, Y Murakami, K Nogaki… - Physical Review X, 2023 - APS
The correlation functions of quantum systems—central objects in quantum field theories—
are defined in high-dimensional space-time domains. Their numerical treatment thus suffers …

Quantitative functional renormalization group description of the two-dimensional Hubbard model

C Hille, FB Kugler, CJ Eckhardt, YY He, A Kauch… - Physical Review …, 2020 - APS
Using a leading algorithmic implementation of the functional renormalization group (fRG) for
interacting fermions on two-dimensional lattices, we provide a detailed analysis of its …

Real-frequency quantum field theory applied to the single-impurity Anderson model

A Ge, N Ritz, E Walter, S Aguirre, J von Delft, FB Kugler - Physical Review B, 2024 - APS
A major challenge in the field of correlated electrons is the computation of dynamical
correlation functions. For comparisons with experiment, one is interested in their real …

Boson-exchange parquet solver for dual fermions

F Krien, A Valli, P Chalupa, M Capone, AI Lichtenstein… - Physical Review B, 2020 - APS
We present and implement a parquet approximation within the dual-fermion formalism
based on a partial bosonization of the dual vertex function which substantially reduces the …

Single-boson exchange decomposition of the vertex function

F Krien, A Valli, M Capone - Physical Review B, 2019 - APS
We present a decomposition of the two-particle vertex function of the single-band Anderson
impurity model which imparts a physical interpretation of the vertex in terms of the exchange …

Truncated unity parquet solver

CJ Eckhardt, C Honerkamp, K Held, A Kauch - Physical Review B, 2020 - APS
We present an implementation of a truncated unity parquet solver (TUPS) which solves the
parquet equations using a truncated form-factor basis for the fermionic momenta. This way …

Self-consistent ladder dynamical vertex approximation

J Kaufmann, C Eckhardt, M Pickem, M Kitatani… - Physical Review B, 2021 - APS
We present and implement a self-consistent D Γ A approach for multiorbital models and ab
initio materials calculations. It is applied to the one-band Hubbard model at various …

Solving the Bethe-Salpeter equation with exponential convergence

M Wallerberger, H Shinaoka, A Kauch - Physical Review Research, 2021 - APS
The Bethe-Salpeter equation plays a crucial role in understanding the physics of correlated
fermions, relating to optical excitations in solids as well as resonances in high-energy …

Single-boson exchange representation of the functional renormalization group for strongly interacting many-electron systems

PM Bonetti, A Toschi, C Hille, S Andergassen… - Physical Review …, 2022 - APS
We present a reformulation of the functional renormalization group (fRG) for many-electron
systems, which relies on the recently introduced single-boson exchange (SBE) …