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 …

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 …

A major challenge in the field of correlated electrons is the computation of dynamical
correlation functions. For comparisons with experiment, one is interested in their real …

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 …

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 …

Multipoint vertex functions, and the four-point vertex in particular, are crucial ingredients in
many-body theory. Recent years have seen significant algorithmic progress toward …

By applying the Shiba mapping on the two-particle level, we derive the relation between the
local four-point correlation functions of bipartite lattice models with on-site electronic …

While calculations and measurements of single-particle spectral properties often offer the
most direct route to study correlated electron systems, the underlying physics may remain …

We design an efficient and balanced approach that captures major effects of collective
electronic fluctuations in strongly correlated fermionic systems using a simple diagrammatic …