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 …

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-correlated systems are often well described by dynamical mean field theory
(DMFT). While DMFT studies have mainly focused hitherto on one-particle properties …

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 …

Motivated by cuprate and nickelate superconductors, we perform a comprehensive study of
the superconducting instability in the single-band Hubbard model. We calculate the …

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 …

We demonstrate how to identify which physical processes dominate the low-energy spectral
functions of correlated electron systems. We obtain an unambiguous classification through …

We report a comprehensive study of magnetic correlations in LaNiO 2, a parent compound
of the recently discovered family of infinite-layer (IL) nickelate superconductors, using …

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 …