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 …

We review recent developments in electronic structure calculations that go beyond state-of-
the-art methods such as density functional theory (DFT) and dynamical mean field theory …

A new approach to the single-band Hubbard model is described in the general context of
many-body theories. It is based on enforcing conservation laws, the Pauli principle and a …

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 establish the phase diagram of the Hubbard model on a cubic lattice for a wide range of
temperatures, do**s, and interaction strengths, considering both commensurate and …

The interplay between quantum and thermal fluctuations can induce rich phenomena at
finite temperatures in strongly correlated fermion systems. Here we report a numerically …

A general understanding of quantum phase transitions in strongly correlated materials is still
lacking. By exploiting a cutting-edge quantum many-body approach, the dynamical vertex …

Diagrammatic Monte Carlo—the technique for the numerically exact summation of all
Feynman diagrams to high orders—offers a unique unbiased probe of continuous phase …

We investigate the magnetic instabilities of the nondegenerate (s-band) and a degenerate (d-
band) Hubbard model in two dimensions using many-body effects due to particle-particle …

The dynamical cluster approximation (DCA) with Betts clusters is used to calculate the
antiferromagnetic phase diagram of the three-dimensional Hubbard model at half-filling …