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 …

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 …

w2dynamics: Local one-and two-particle quantities from dynamical mean field theory

M Wallerberger, A Hausoel, P Gunacker… - Computer Physics …, 2019 - Elsevier
We describe the hybridization-expansion continuous-time quantum Monte Carlo code
package “w2dynamics”, developed in Wien and Würzburg. We discuss the main features of …

Fate of the false Mott-Hubbard transition in two dimensions

T Schäfer, F Geles, D Rost, G Rohringer, E Arrigoni… - Physical Review B, 2015 - APS
We have studied the impact of nonlocal electronic correlations at all length scales on the
Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard model …

Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics

O Gunnarsson, T Schäfer, JPF LeBlanc, E Gull… - Physical review …, 2015 - APS
We demonstrate how to identify which physical processes dominate the low-energy spectral
functions of correlated electron systems. We obtain an unambiguous classification through …

From infinite to two dimensions through the functional renormalization group

C Taranto, S Andergassen, J Bauer, K Held, A Katanin… - Physical review …, 2014 - APS
We present a novel scheme for an unbiased, nonperturbative treatment of strongly
correlated fermions. The proposed approach combines two of the most successful many …

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 …

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 …

Nonperturbative landscape of the Mott-Hubbard transition: Multiple divergence lines around the critical endpoint

T Schäfer, S Ciuchi, M Wallerberger, P Thunström… - Physical Review B, 2016 - APS
We analyze the highly nonperturbative regime surrounding the Mott-Hubbard metal-to-
insulator transition (MIT) by means of dynamical mean field theory (DMFT) calculations at …

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 …