A review of the basic ideas and techniques of the spectral density-functional theory is
presented. This method is currently used for electronic structure calculations of strongly …

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 …

A relatively new class of materials has been found in which the basic assumption of Landau
Fermi-liquid theory—that at low energies the electrons in a metal should behave essentially …

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

When a metal undergoes a continuous quantum phase transition, non-Fermi-liquid
behaviour arises near the critical point. All the low-energy degrees of freedom induced by …

There are two main theoretical descriptions of antiferromagnets. The first arises from atomic
physics, which predicts that atoms with unpaired electrons develop magnetic moments. In a …

In this review, we summarize the present status of theories of the spin fluctuation (SF)
mechanism in explaining anomalous or non-Fermi liquid behaviours and unconventional …

When a quantum-mechanical system undergoes an adiabatic cyclic evolution, it acquires a
geometrical phase factor in addition to the dynamical one; this effect has been demonstrated …

This review discusses a paradigm that has become of increasing importance in the theory of
quantum phase transitions, namely, the coupling of the order-parameter fluctuations to other …

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