These notes are based on lectures serving the advanced graduate education of the Delta
Institute of Theoretical Physics in the Netherlands in autumn 2021. The goal is to explain in a …

Recently developed numerical methods have enabled the explicit construction of the
superconducting state of the Hubbard model of strongly correlated electrons in parameter …

We present a formalism for strongly correlated electron systems which consists in a local
approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently …

Near a quantum critical point in a metal, a strong fermion-fermion interaction, mediated by a
soft boson, acts in two different directions: it destroys fermionic coherence and it gives rise to …

We present a formalism for strongly correlated systems with fermions coupled to bosonic
modes. We construct the three-particle irreducible functional K by successive Legendre …

For over half a century, the Hubbard model has played a paradigmatic role in attempts to
understand quantum phenomena exhibited by correlated electrons in solids. Despite a …

We present a time-dependent formulation of coupled cluster theory. This theory allows for
direct computation of the free energy of quantum systems at finite temperature by imaginary …

The energetics of the interplay between superconductivity and the pseudogap in high-
temperature superconductivity is examined using the eight-site dynamical cluster …

Quantum impurity solvers have a broad range of applications in theoretical studies of
strongly correlated electron systems. Especially, they play a key role in dynamical mean …

We consider the one-band Hubbard model on the square lattice by using variational and
Green's function Monte Carlo methods, where the variational states contain Jastrow and …