The stability or lack thereof of nonrelativistic fermionic systems to interactions is studied
within the renormalization-group (RG) framework, in close analogy with the study of critical …

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 …

Organic materials have provided theorists with an extraordinary laboratory to study the
effects of interactions in solids. Indeed the physics of strongly correlated electrons is one of …

There is a strong tendency for dilute holes in an antiferromagnet to phase separate.(This is a
generic feature of do** into a commensurate correlated insulating state.) We review the …

When holes are doped into an antiferromagnetic insulator they form a slowly fluctuating
array of “topological defects”(metallic stripes) in which the motion of the holes exhibits a self …

A new approach to the single-band Hubbard model is described in the general context of
many-body theories. It is based on enforcing conservation laws, the Pauli principle and a …

We discuss the properties of interacting electrons on a finite chain with open boundary
conditions. We extend the Haldane-Luttinger-liquid description to these systems and study …

We present a general method for determining the phase diagram of systems of a finite
number of one-dimensional Hubbard-like systems coupled by single-particle hop** with …

Historically, quasi-low-dimensional superconductors were considered as the main
candidates to observe high-temperature superconductivity. For a discussion of the related …

We compute the spectral function rho (q, omega) of the one-dimensional Luttinger model.
We discuss the distinct influences of charge-spin separation and of the anomalous …