The density-matrix renormalization group

U Schollwöck - Reviews of modern physics, 2005 - APS
The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …

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 …

The density-matrix renormalization group in the age of matrix product states

U Schollwöck - Annals of physics, 2011 - Elsevier
The density-matrix renormalization group method (DMRG) has established itself over the
last decade as the leading method for the simulation of the statics and dynamics of one …

Density matrix embedding: A simple alternative to dynamical mean-field theory

G Knizia, GKL Chan - Physical review letters, 2012 - APS
We introduce density matrix embedding theory (DMET), a quantum embedding theory for
computing frequency-independent quantities, such as ground-state properties, of infinite …

Hybrid quantum-classical approach to correlated materials

B Bauer, D Wecker, AJ Millis, MB Hastings, M Troyer - Physical Review X, 2016 - APS
Recent improvements in the control of quantum systems make it seem feasible to finally
build a quantum computer within a decade. While it has been shown that such a quantum …

Electronic structure calculations using dynamical mean field theory

K Held - Advances in physics, 2007 - Taylor & Francis
The calculation of the electronic properties of materials is an important task of solid-state
theory, albeit particularly difficult if electronic correlations are strong, eg, in transition metals …

New trends in density matrix renormalization

KA Hallberg - Advances in Physics, 2006 - Taylor & Francis
The density matrix renormalization group (DMRG) has become a powerful numerical
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …

Efficient real-frequency solver for dynamical mean-field theory

Y Lu, M Höppner, O Gunnarsson, MW Haverkort - Physical Review B, 2014 - APS
We here present how a self-consistent solution of the dynamical mean-field theory equations
can be obtained using exact diagonalization of an Anderson impurity model with accuracies …

Equilibrium quantum impurity problems via matrix product state encoding of the retarded action

B Kloss, J Thoenniss, M Sonner, A Lerose, MT Fishman… - Physical Review B, 2023 - APS
In the 0+ 1-dimensional imaginary-time path integral formulation of quantum impurity
problems, the retarded action encodes the hybridization of the impurity with the bath. In this …

Fork tensor-product states: efficient multiorbital real-time DMFT solver

D Bauernfeind, M Zingl, R Triebl, M Aichhorn… - Physical Review X, 2017 - APS
We present a tensor network especially suited for multi-orbital Anderson impurity models
and as an impurity solver for multi-orbital dynamical mean-field theory (DMFT). The solver …