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 …

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

F Verstraete, V Murg, JI Cirac - Advances in physics, 2008 - Taylor & Francis
Full article: Matrix product states, projected entangled pair states, and variational
renormalization group methods for quantum spin systems Skip to Main Content Taylor and …

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 …

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 …

Chebyshev matrix product state impurity solver for dynamical mean-field theory

FA Wolf, IP McCulloch, O Parcollet, U Schollwöck - Physical Review B, 2014 - APS
We compute the spectral functions for the two-site dynamical cluster theory and for the two-
orbital dynamical mean-field theory in the density-matrix renormalization group (DMRG) …

Dynamical mean field theory with the density matrix renormalization group

DJ García, K Hallberg, MJ Rozenberg - Physical review letters, 2004 - APS
A new numerical method for the solution of the dynamical mean field theory's self-consistent
equations is introduced. The method uses the density matrix renormalization group …

Diagonalization‐and Numerical Renormalization‐Group‐Based Methods for Interacting Quantum Systems

RM Noack, SR Manmana - AIP Conference Proceedings, 2005 - pubs.aip.org
In these lecture notes, we present a pedagogical review of a number of related numerically
exact approaches to quantum many‐body problems. In particular, we focus on methods …

Variational matrix-product-state approach to quantum impurity models

A Weichselbaum, F Verstraete, U Schollwöck… - Physical Review B …, 2009 - APS
We present a unified framework for renormalization group methods, including Wilson's
numerical renormalization group (NRG), and White's density-matrix renormalization group …

Solving nonequilibrium dynamical mean-field theory using matrix product states

FA Wolf, IP McCulloch, U Schollwöck - Physical Review B, 2014 - APS
We solve nonequilibrium dynamical mean-field theory (DMFT) using matrix product states
(MPS). This allows us to treat much larger bath sizes and by that reach substantially longer …