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

One of the most challenging problems in solid state systems is the microscopic analysis of
electronic correlations. A paramount minimal model that encodes correlation effects is the …

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 …

Recent experiments with ultracold fermionic atoms in optical lattices have provided a
tuneable and clean realization of the attractive Hubbard model (AHM). In view of this …

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 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 …

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 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 …

While the breakdown of the perturbation expansion for the many-electron problem has
several formal consequences, here we unveil its physical effect: flipping the sign of the …