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 …

This review discusses instabilities of the Fermi-liquid state of conduction electrons in metals
with particular emphasis on magnetic quantum critical points. Both existing theoretical …

In the early 1970s, Wilson developed the concept of a fully nonperturbative renormalization
group transformation. When applied to the Kondo problem, this numerical renormalization …

This article reviews quantum cluster theories, a set of approximations for infinite lattice
models which treat correlations within the cluster explicitly, and correlations at longer length …

The ordinary single-channel Kondo model consists of one or more spin-½ local moments
interacting antiferromagnetically with conduction electrons in a metal. This model has …

We calculate magnetization in magnetically doped semiconductors assuming a local
exchange model of carrier-mediated ferromagnetic mechanism and using a number of …

Because of the large spatial separation of the Mn atoms in Heusler alloys (d Mn-Mn> 4 Å),
the Mn 3 d states belonging to different atoms do not overlap considerably. Therefore, an …

It is shown that the large-N approach yields two energy scales for the Kondo lattice model.
The single-impurity Kondo temperature, TK, signals the onset of local singlet formation …

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 so called exhaustion problem occurs when few electrons have to screen many spins in
a metal with magnetic impurities. A singlet Fermi liquid ground state is possible only if all …