We review the dynamical mean-field theory of strongly correlated electron systems which is
based on a mapping of lattice models onto quantum impurity models subject to a self …

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 …

A systematic study of optical and transport properties of the Hubbard model, based on the
Metzner-Vollhardt dynamical mean-field approximation, is reviewed. This model shows …

The entanglement of quantum states is both a central concept in fundamental physics and a
potential tool for realizing advanced materials and applications. The quantum …

We present the algorithmic details of the dynamical cluster approximation (DCA), with a
quantum Monte Carlo (QMC) method used to solve the effective cluster problem. The DCA is …

Wilson's numerical renormalization-group method is used to study the paramagnetic ground
state of the periodic Anderson model within the dynamical mean-field approach. For the …

We present a pedagogical and critical overview of the two-channel Kondo model and its
possible relevance to a number of non-Fermi-liquid alloys and compounds. We survey the …

We use the variational method to investigate the ground state phase diagram of the Kondo
lattice Hamiltonian for arbitrary J/W, and conduction electron concentration nc (J is the …

The asymmetric infinite-dimensional periodic Anderson model is examined with a quantum
Monte Carlo simulation. For small conduction band filling, we find a severe reduction in the …

The two-orbital degenerate Hubbard model with distinct hopping integrals is studied by
combining dynamical mean-field theory with quantum Monte Carlo simulations. The role of …