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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 …
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 …
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 …
the-art methods such as density functional theory (DFT) and dynamical mean field theory …
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 …
map** from the interacting to the noninteracting Green function, G→ G 0, is strongly …
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 …
condensed matter physics. However, the full treatment of their frequency and momentum …
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 …
screening in the frequency structure of the generalized charge susceptibility. The sharpness …
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 …
functions for one of the fundamental models of many-body physics: the Anderson impurity …
Luttinger's theorem in the presence of Luttinger surfaces
J Skolimowski, M Fabrizio - Physical Review B, 2022 - APS
Breakdown of Landau's hypothesis of adiabatic continuation from noninteracting to fully
interacting electrons is commonly believed to bring about a violation of Luttinger's theorem …
interacting electrons is commonly believed to bring about a violation of Luttinger's theorem …
General Shiba map** for on-site four-point correlation functions
H Eßl, M Reitner, G Sangiovanni, A Toschi - Physical Review Research, 2024 - APS
By applying the Shiba map** on the two-particle level, we derive the relation between the
local four-point correlation functions of bipartite lattice models with on-site electronic …
local four-point correlation functions of bipartite lattice models with on-site electronic …
Multiloop functional renormalization group for general models
FB Kugler, J von Delft - Physical Review B, 2018 - APS
We present multiloop flow equations in the functional renormalization group (fRG)
framework for the four-point vertex and self-energy, formulated for a general fermionic many …
framework for the four-point vertex and self-energy, formulated for a general fermionic many …