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 …

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 …

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 …

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 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 …

We present an implementation of a truncated unity parquet solver (TUPS) which solves the
parquet equations using a truncated form-factor basis for the fermionic momenta. This way …

We exploit the parquet formalism to derive exact flow equations for the two-particle-reducible
four-point vertices, the self-energy, and typical response functions, circumventing the …

We investigate several fundamental characteristics of the multiloop functional
renormalization group (mfRG) flow by hands of its application to a prototypical many …

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 …

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 …