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 …

Tensor train continuous time solver for quantum impurity models

A Erpenbeck, WT Lin, T Blommel, L Zhang, S Iskakov… - Physical Review B, 2023 - APS
The simulation of strongly correlated quantum impurity models is a significant challenge in
modern condensed matter physics that has multiple important applications. Thus far, the …

Highly nonperturbative nature of the Mott metal-insulator transition: Two-particle vertex divergences in the coexistence region

M Pelz, S Adler, M Reitner, A Toschi - Physical Review B, 2023 - APS
We thoroughly analyze the divergences of the irreducible vertex functions occurring in the
charge channel of the half-filled Hubbard model in close proximity to the Mott metal-insulator …

Ab initio dynamical vertex approximation

A Galler, P Thunström, P Gunacker, JM Tomczak… - Physical Review B, 2017 - APS
Diagrammatic extensions of dynamical mean-field theory (DMFT) such as the dynamical
vertex approximation (D Γ A) allow us to include nonlocal correlations beyond DMFT on all …

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 …

Decomposing imaginary-time Feynman diagrams using separable basis functions: Anderson impurity model strong-coupling expansion

J Kaye, Z Huang, HUR Strand, D Golež - Physical Review X, 2024 - APS
We present a deterministic algorithm for the efficient evaluation of imaginary-time diagrams
based on the recently introduced discrete Lehmann representation (DLR) of imaginary-time …

Computing local multipoint correlators using the numerical renormalization group

SSB Lee, FB Kugler, J von Delft - Physical Review X, 2021 - APS
Local three-and four-point correlators yield important insight into strongly correlated systems
and have many applications. However, the nonperturbative, accurate computation of …

Electronic orders in multiorbital Hubbard models with lifted orbital degeneracy

S Hoshino, P Werner - Physical Review B, 2016 - APS
We study the symmetry-broken phases in two-and three-orbital Hubbard models with lifted
orbital degeneracy using dynamical mean-field theory. On the technical level, we explain …