The Hubbard model: A computational perspective

M Qin, T Schäfer, S Andergassen… - Annual Review of …, 2022 - annualreviews.org
The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions

A Georges, G Kotliar, W Krauth, MJ Rozenberg - Reviews of Modern Physics, 1996 - APS
We review the dynamical mean-field theory of strongly correlated electron systems which is
based on a map** of lattice models onto quantum impurity models subject to a self …

Electronic structure calculations with dynamical mean-field theory

G Kotliar, SY Savrasov, K Haule, VS Oudovenko… - Reviews of Modern …, 2006 - APS
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 …

Numerical renormalization group method for quantum impurity systems

R Bulla, TA Costi, T Pruschke - Reviews of Modern Physics, 2008 - APS
In the early 1970s, Wilson developed the concept of a fully nonperturbative renormalization
group transformation. When applied to the Kondo problem, this numerical renormalization …

Quantum cluster theories

T Maier, M Jarrell, T Pruschke, MH Hettler - Reviews of Modern Physics, 2005 - APS
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 …

Strongly correlated materials: Insights from dynamical mean-field theory

G Kotliar, D Vollhardt - Physics today, 2004 - pubs.aip.org
Materials with correlated electrons exhibit some of the most intriguing phenomena in
condensed matter physics. A new theoretical framework is now allowing theorists to …

Inelastic light scattering from correlated electrons

TP Devereaux, R Hackl - Reviews of modern physics, 2007 - APS
Inelastic light scattering is an intensively used tool in the study of electronic properties of
solids. Triggered by the discovery of high-temperature superconductivity in the cuprates and …

Exotic Kondo effects in metals: magnetic ions in a crystalline electric field and tunnelling centres

DL Cox, A Zawadowski - Advances in Physics, 1998 - Taylor & Francis
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 …

Nonlocal dynamical correlations of strongly interacting electron systems

MH Hettler, AN Tahvildar-Zadeh, M Jarrell, T Pruschke… - Physical Review B, 1998 - APS
We introduce an extension of the dynamical mean-field approximation (DMFA) that retains
the causal properties and generality of the DMFA, but allows for systematic inclusion of …

The ALPS project release 1.3: Open-source software for strongly correlated systems

AF Albuquerque, F Alet, P Corboz, P Dayal… - Journal of Magnetism …, 2007 - Elsevier
We present release 1.3 of the ALPS (Algorithms and Libraries for Physics Simulations)
project, an international open-source software project to develop libraries and application …