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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 …
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
Full article: Matrix product states, projected entangled pair states, and variational renormalization
group methods for quantum spin systems Skip to Main Content Taylor and Francis Online …
group methods for quantum spin systems Skip to Main Content Taylor and Francis Online …
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 …
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 …
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 …
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 …
exact approaches to quantum many‐body problems. In particular, we focus on methods …
Dynamical mean field theory with the density matrix renormalization group
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 …
equations is introduced. The method uses the density matrix renormalization group …
Spectral functions with the density matrix renormalization group: Krylov-space approach for correction vectors
A Nocera, G Alvarez - Physical Review E, 2016 - APS
Frequency-dependent correlations, such as the spectral function and the dynamical
structure factor, help illustrate condensed matter experiments. Within the density matrix …
structure factor, help illustrate condensed matter experiments. Within the density matrix …
Chebyshev matrix product state impurity solver for dynamical mean-field theory
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) …
orbital dynamical mean-field theory in the density-matrix renormalization group (DMRG) …
Solving nonequilibrium dynamical mean-field theory using matrix product states
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 …
(MPS). This allows us to treat much larger bath sizes and by that reach substantially longer …