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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 …
truncation of the Hilbert space of low-dimensional strongly correlated quantum systems …
Electronic structure calculations with dynamical mean-field theory
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 …
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 …
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
We introduce density matrix embedding theory (DMET), a quantum embedding theory for
computing frequency-independent quantities, such as ground-state properties, of infinite …
computing frequency-independent quantities, such as ground-state properties, of infinite …
Hybrid quantum-classical approach to correlated materials
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 …
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 …
theory, albeit particularly difficult if electronic correlations are strong, eg, in transition metals …
Efficient real-frequency solver for dynamical mean-field theory
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 …
can be obtained using exact diagonalization of an Anderson impurity model with accuracies …
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 …
method that can be applied to low-dimensional strongly correlated fermionic and bosonic …
Fork tensor-product states: Efficient multiorbital real-time DMFT solver
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 …
and as an impurity solver for multi-orbital dynamical mean-field theory (DMFT). The solver …
Time-dependent density matrix renormalization group algorithms for nearly exact absorption and fluorescence spectra of molecular aggregates at both zero and finite …
We implement and apply time-dependent density matrix renormalization group (TD-DMRG)
algorithms at zero and finite temperature to compute the linear absorption and fluorescence …
algorithms at zero and finite temperature to compute the linear absorption and fluorescence …