We review the progress in the theory of one-dimensional (ID) Fermi liquids which has
occurred over the past decade. The usual Fermi liquid theory, based on a quasi-particle …

Providing a broad review of many techniques and their application to condensed matter
systems, this book begins with a review of thermodynamics and statistical mechanics, before …

The Van Hove singularity (VHS) provides a paradigm for the study of the role of peaks in the
density of states (dos) on electronic properties. More importantly, it appears to play a major …

We consider the problem of fermions interacting with gapless long-wavelength collective
bosonic modes. The theory describes, among other cases, a ferromagnetic quantum-critical …

We review the theory of interacting Fermi systems whose low-energy physics is dominated
by forward scattering, that is scattering processes generated by effective interactions with …

A number of results on quantum quenches in the Luttinger and related models are surveyed
with emphasis on post-quench correlations. For the Luttinger model and initial gaussian …

We study instabilities occurring in the electron system whose Fermi surface has flat regions
on its opposite sides. Such a Fermi surface resembles Fermi surfaces of some high-T c …

We study the effect of suddenly turning on a long-range interaction in a spinless Fermi gas in
two dimensions. The short-to intermediate-time dynamics is described using the method of …

The author presents in detail a new non-perturbative approach to the fermionic many-body
problem, improving the bosonization technique and generalizing it to dimensions d1 via …

The book includes all main physical properties of d-and f-transition-metal systems and
corresponding theoretical concepts. Special attention is paid to the theory of magnetism and …