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 …

Phase diagram of nickelate superconductors calculated by dynamical vertex approximation

K Held, L Si, P Worm, O Janson, R Arita, Z Zhong… - Frontiers in …, 2022 - frontiersin.org
We review the electronic structure of nickelate superconductors with and without effects of
electronic correlations. As a minimal model, we identify the one-band Hubbard model for the …

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 …

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 …

Mott physics and spin fluctuations: A unified framework

T Ayral, O Parcollet - Physical Review B, 2015 - APS
We present a formalism for strongly correlated electron systems which consists in a local
approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently …

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 …

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 …

Efficient implementation of the parquet equations: Role of the reducible vertex function and its kernel approximation

G Li, N Wentzell, P Pudleiner, P Thunström, K Held - Physical Review B, 2016 - APS
We present an efficient implementation of the parquet formalism that respects the asymptotic
structure of the vertex functions at both single-and two-particle levels in momentum and …

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 …