We develop a strong coupling approach for a general lattice problem. We argue that this
strong coupling perspective represents the natural framework for a generalization of the …

In this thesis I present numerical methods that are designed to calculate the spectra of
collective excitations in strongly correlated systems. Several qualitative features of these …

The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for
the investigation of correlated quantum many-particle systems on a lattice, eg, electrons in …

We further develop an extended dynamical mean-field approach introduced earlier. It goes
beyond the standard D=∞ dynamical mean field theory by incorporating quantum …

The dynamical mean field theory (DMFT) has emerged as one of the most important
frameworks for theoretical investigations of strongly correlated lattice models and real …

We present an efficient exact diagonalization scheme for the extended dynamical mean-field
theory and apply it to the extended Hubbard model on the square lattice with nonlocal …

Many-body Hamiltonians obtained from first principles generally include all possible non-
local interactions. But in dynamical mean field theory the non-local interactions are ignored …

The dynamical mean-field theory (DMFT) maps a correlated lattice problem onto an impurity
problem of a single correlated site coupled to an uncorrelated bath. Most implementations …

We demonstrate an algebraic construction of frequency-dependent bath orbitals which can
be used in a robust and rigorously self-consistent DMFT-like embedding method, here …

Since the first investigation of the Hubbard model in the limit of infinite dimensions by
Metzner and Vollhardt, dynamical mean-field theory (DMFT) has become a very powerful …