The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

We briefly review methods for modeling correlated systems. The concept of correlations is of
fundamental physical importance for systems such as Mott±Hubbard insulators, high …

The parquet formalism and Hedin's GW γ approach are unified into a single theory of vertex
corrections, corresponding to an exact reformulation of the parquet equations in terms of …

We present and implement a parquet approximation within the dual-fermion formalism
based on a partial bosonization of the dual vertex function which substantially reduces the …

We present a decomposition of the two-particle vertex function of the single-band Anderson
impurity model which imparts a physical interpretation of the vertex in terms of the exchange …

The Bethe-Salpeter equation plays a crucial role in understanding the physics of correlated
fermions, relating to optical excitations in solids as well as resonances in high-energy …

The recently introduced single-boson exchange (SBE) decomposition of the four-point
vertex of interacting fermionic many-body systems is a conceptually and computationally …

Taking the competition and the mutual screening of various bosonic fluctuations in
correlated electron systems into account requires an unbiased approach to the many-body …

In the study of correlated systems, approximations based on the dynamical mean-field
theory (DMFT) provide a practical way to take local vertex corrections into account, which …

We consider the interaction-driven Mott transition at zero temperature from the viewpoint of
microscopic Fermi liquid theory. To this end, we derive an exact expression for the Landau …