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 …

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 …

Numerical results for ground-state and excited-state properties (energies, double
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …

Despite their exceptional flexibility and popularity, Monte Carlo methods often suffer from
slow mixing times for challenging statistical physics problems. We present a general strategy …

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 …

In this paper, we investigate how nonlocal correlations affect, selectively, the physics of
correlated electrons over different energy scales, from the Fermi level to the band edges …

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 …

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 …

The dual-fermion approach offers a way to perform diagrammatic expansion around the
dynamical mean field theory. Using this formalism, the influence of antiferromagnetic …

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 …