Multiconfiguration self-consistent field and multireference configuration interaction methods and applications

PG Szalay, T Muller, G Gidofalvi, H Lischka… - Chemical …, 2012 - ACS Publications
The configuration interaction (CI) method is a general procedure to compute approximate
solutions to the electronic Schrödinger equation. The wave function is written as a linear …

The density matrix renormalization group in quantum chemistry

GKL Chan, S Sharma - Annual review of physical chemistry, 2011 - annualreviews.org
The density matrix renormalization group is a method that is useful for describing molecules
that have strongly correlated electrons. Here we provide a pedagogical overview of the …

Block2: A comprehensive open source framework to develop and apply state-of-the-art DMRG algorithms in electronic structure and beyond

H Zhai, HR Larsson, S Lee, ZH Cui, T Zhu… - The Journal of …, 2023 - pubs.aip.org
block2 is an open source framework to implement and perform density matrix
renormalization group and matrix product state algorithms. Out-of-the-box it supports the …

[HTML][HTML] The ab-initio density matrix renormalization group in practice

R Olivares-Amaya, W Hu, N Nakatani… - The Journal of …, 2015 - pubs.aip.org
The ab-initio density matrix renormalization group (DMRG) is a tool that can be applied to a
wide variety of interesting problems in quantum chemistry. Here, we examine the density …

Tensor product methods and entanglement optimization for ab initio quantum chemistry

S Szalay, M Pfeffer, V Murg, G Barcza… - … Journal of Quantum …, 2015 - Wiley Online Library
The treatment of high‐dimensional problems such as the Schrödinger equation can be
approached by concepts of tensor product approximation. We present general techniques …

The density matrix renormalization group for ab initio quantum chemistry

S Wouters, D Van Neck - The European Physical Journal D, 2014 - Springer
During the past 15 years, the density matrix renormalization group (DMRG) has become
increasingly important for ab initio quantum chemistry. Its underlying wavefunction ansatz …

[HTML][HTML] Matrix product operators, matrix product states, and ab initio density matrix renormalization group algorithms

GK Chan, A Keselman, N Nakatani, Z Li… - The Journal of chemical …, 2016 - pubs.aip.org
Current descriptions of the ab initio density matrix renormalization group (DMRG) algorithm
use two superficially different languages: an older language of the renormalization group …

Second-order perturbation theory with a density matrix renormalization group self-consistent field reference function: Theory and application to the study of chromium …

Y Kurashige, T Yanai - The Journal of chemical physics, 2011 - pubs.aip.org
We present a second-order perturbation theory based on a density matrix renormalization
group self-consistent field (DMRG-SCF) reference function. The method reproduces the …

Spin-adapted density matrix renormalization group algorithms for quantum chemistry

S Sharma, GK Chan - The Journal of chemical physics, 2012 - pubs.aip.org
to quantum chemical Hamiltonians. This involves using a quasi-density matrix, to ensure that
the renormalized DMRG states are eigenfunctions of| $\hat {S}^ 2$| S ̂ 2⁠, and the Wigner …

Orbital optimization in the density matrix renormalization group, with applications to polyenes and β-carotene

D Ghosh, J Hachmann, T Yanai… - The Journal of chemical …, 2008 - pubs.aip.org
In previous work we have shown that the density matrix renormalization group (DMRG)
enables near-exact calculations in active spaces much larger than are possible with …