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

The correlation functions of quantum systems—central objects in quantum field theories—
are defined in high-dimensional space-time domains. Their numerical treatment thus suffers …

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 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 …

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 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 …

We study the microscopic mechanism controlling the interplay between local charge and
local spin fluctuations in correlated electron systems via a thorough investigation of the …