Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

G Rohringer, H Hafermann, A Toschi, AA Katanin… - Reviews of Modern …, 2018 - APS
Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …

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 …

Merging GW with DMFT and non-local correlations beyond

JM Tomczak, P Liu, A Toschi, G Kresse… - The European Physical …, 2017 - Springer
We review recent developments in electronic structure calculations that go beyond state-of-
the-art methods such as density functional theory (DFT) and dynamical mean field theory …

High-frequency asymptotics of the vertex function: Diagrammatic parametrization and algorithmic implementation

N Wentzell, G Li, A Tagliavini, C Taranto, G Rohringer… - Physical Review B, 2020 - APS
Vertex functions are a crucial ingredient of several forefront many-body algorithms in
condensed matter physics. However, the full treatment of their frequency and momentum …

Breakdown of traditional many-body theories for correlated electrons

O Gunnarsson, G Rohringer, T Schäfer… - Physical Review Letters, 2017 - APS
Starting from the (Hubbard) model of an atom, we demonstrate that the uniqueness of the
map** from the interacting to the noninteracting Green function, G→ G 0, is strongly …

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 …

Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems

P Chalupa, T Schäfer, M Reitner, D Springer… - Physical Review Letters, 2021 - APS
We identify the precise hallmarks of the local magnetic moment formation and its Kondo
screening in the frequency structure of the generalized charge susceptibility. The sharpness …

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 …

Divergences of the irreducible vertex functions in correlated metallic systems: Insights from the Anderson impurity model

P Chalupa, P Gunacker, T Schaefer, K Held, A Toschi - Physical Review B, 2018 - APS
In this work, we analyze in detail the occurrence of divergences in the irreducible vertex
functions for one of the fundamental models of many-body physics: the Anderson impurity …