Characterization and generation of local occupied and virtual Hartree–Fock orbitals

IM Høyvik, P Jørgensen - Chemical Reviews, 2016 - ACS Publications
The scope of this review article is to discuss the locality of occupied and virtual orthogonal
Hartree–Fock orbitals generated by localization function optimization. Locality is discussed …

The divide–expand–consolidate coupled cluster scheme

T Kjærgaard, P Baudin, D Bykov… - Wiley …, 2017 - Wiley Online Library
The Divide‐Expand‐Consolidate (DEC) scheme is a linear‐scaling and massively parallel
framework for high accuracy coupled cluster (CC) calculations on large molecular systems. It …

Exploiting locality in quantum computation for quantum chemistry

JR McClean, R Babbush, PJ Love… - The journal of physical …, 2014 - ACS Publications
Accurate prediction of chemical and material properties from first-principles quantum
chemistry is a challenging task on traditional computers. Recent developments in quantum …

Linear scaling coupled cluster method with correlation energy based error control

M Ziółkowski, B Jansík, T Kjærgaard… - The Journal of chemical …, 2010 - pubs.aip.org
Coupled cluster calculations can be carried out for large molecular systems via a set of
calculations that use small orbital fragments of the full molecular orbital space. The error in …

Analytic one-electron properties at the 4-component relativistic coupled cluster level with inclusion of spin-orbit coupling

A Shee, L Visscher, T Saue - The Journal of Chemical Physics, 2016 - pubs.aip.org
We present a formulation and implementation of the calculation of (orbital-unrelaxed)
expectation values at the 4-component relativistic coupled cluster level with spin-orbit …

Orbital localization using fourth central moment minimization

IM Høyvik, B Jansik, P Jørgensen - The Journal of chemical physics, 2012 - pubs.aip.org
We present a new orbital localization function based on the sum of the fourth central
moments of the orbitals. To improve the locality, we impose a power on the fourth central …

Generalization of intrinsic orbitals to Kramers-paired quaternion spinors, molecular fragments, and valence virtual spinors

B Senjean, S Sen, M Repisky, G Knizia… - Journal of chemical …, 2021 - ACS Publications
Localization of molecular orbitals finds its importance in the representation of chemical
bonding (and antibonding) and in the local correlation treatments beyond mean-field …

A locality analysis of the divide–expand–consolidate coupled cluster amplitude equations

K Kristensen, M Ziółkowski, B Jansík… - Journal of Chemical …, 2011 - ACS Publications
We present a thorough locality analysis of the divide–expand–consolidate amplitude
equations for second-order Møller–Plesset perturbation theory and the coupled cluster …

Local orbitals by minimizing powers of the orbital variance

B Jansík, S Høst, K Kristensen… - The Journal of chemical …, 2011 - pubs.aip.org
It is demonstrated that a set of local orthonormal Hartree–Fock (HF) molecular orbitals can
be obtained for both the occupied and virtual orbital spaces by minimizing powers of the …

The divide-expand-consolidate family of coupled cluster methods: Numerical illustrations using second order Møller-Plesset perturbation theory

IM Høyvik, K Kristensen, B Jansik… - The Journal of Chemical …, 2012 - pubs.aip.org
Previously, we have introduced the linear scaling coupled cluster (CC) divide-expand-
consolidate (DEC) method, using an occupied space partitioning of the standard correlation …