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A Cholesky decomposition (CD)-based implementation of relativistic two-component coupled-cluster (CC) and equation-of-motion CC (EOM-CC) methods using an exact two-component Hamiltonian augmented with atomic-mean-field spin-orbit integrals…

化学物理 · 物理学 2023-09-19 Chaoqun Zhang , Filippo Lipparini , Stella Stopkowicz , Jürgen Gauss , Lan Cheng

A rigorous analysis is carried out concerning the use of Cholesky decomposition (CD) of two-electron integrals in the case of quantum-chemical calculations with finite or perturbative magnetic fields and gauge-including atomic orbitals. We…

We present a novel and efficient implementation of coupled-cluster with singles and doubles (CCSD) analytic gradients that combines the Cholesky decomposition (CD) of electron-repulsion integrals with the exploitation of Abelian point-group…

化学物理 · 物理学 2025-12-29 Luca Melega , Tommaso Nottoli , Jürgen Gauss , Filippo Lipparini

For the interpretation of spectra of magnetic stellar objects such as magnetic white dwarfs (WDs) highly accurate quantum chemical predictions for atoms and molecules in finite magnetic field are required. Especially the accurate…

化学物理 · 物理学 2024-10-01 Simon Blaschke , Marios-Petros Kitsaras , Stella Stopkowicz

In large-scale quantum-chemical calculations the electron-repulsion integral (ERI) tensor rapidly becomes the bottleneck in terms of memory and disk space. When an external finite magnetic field is employed, this problem becomes even more…

化学物理 · 物理学 2022-02-16 Simon Blaschke , Stella Stopkowicz

The computation of magnetizability tensors using gauge-including atomic orbitals is discussed in the context of Cholesky decomposition for the two-electron repulsion integrals with a focus on the involved doubly differentiated integrals.…

化学物理 · 物理学 2024-11-14 Sophia Burger , Stella Stopkowicz , Jürgen Gauss

We present an efficient and cost-effective implementation for the exact two-component atomic mean field (X2CAMF) based coupled cluster (CC) method, which integrates frozen natural spinors (FNS) and the Cholesky decomposition (CD) technique.…

化学物理 · 物理学 2025-02-04 Somesh Chamoli , Xubo Wang , Chaoqun Zhang , Malaya K. Nayak , Achintya Kumar Dutta

We present a computationally efficient relativistic formulation of the equation-of-motion coupled-cluster method for the double electron attachment problem. In this work, the exact two-component Hamiltonian within the atomic mean-field…

化学物理 · 物理学 2026-03-31 Sujan Mandal , Tamoghna Mukhopadhyay , Achintya Kumar Dutta

We present an efficient implementation of the low-cost linear-response coupled-cluster singles and doubles (LR-CCSD) method for computing static and frequency-dependent polarizabilities in systems with significant relativistic and…

化学物理 · 物理学 2026-04-15 Sudipta Chakraborty , Muskan Begom , Xubo Wang , Achintya Kumar Dutta

We present an efficient relativistic implementation of algebraic diagrammatic construction (ADC) theory up to third order for the treatment of electronic ionization potentials (IP), electron affinities (EA), and excitation energies (EE) in…

化学物理 · 物理学 2026-01-27 Sudipta Chakraborty , Kamal Majee , Achintya Kumar Dutta

We report an efficient implementation of the ionization potential (IP) variant of the equation-of-motion coupled cluster (IP-EOM-CC) method based on the exact two-component atomic mean field (X2CAMF) framework, utilizing Cholesky…

化学物理 · 物理学 2025-06-10 Somesh Chamoli , Malaya K. Nayak , Achintya Kumar Dutta

We report a complete implementation of the coupled-cluster method with single, double, and triple excitations (CCSDT) where tensor decompositions are used to reduce its scaling and overall computational costs. For the decomposition of the…

化学物理 · 物理学 2020-02-20 Michał Lesiuk

In first-principles calculations, hybrid functional is often used to improve accuracy from local exchange correlation functionals. A drawback is that evaluating the hybrid functional needs significantly more computing effort. When…

材料科学 · 物理学 2018-02-05 Maoyuan Wang , Gui-Bin Liu , Hong Guo , Yugui Yao

We report on a formulation and implementation of a scheme to compute NMR shieldings at second-order Moller-Plesset (MP2) perturbation theory using gauge-including atomic orbitals (GIAOs) to ensure gauge-origin independence and Cholesky…

化学物理 · 物理学 2024-06-19 Sophia Burger , Filippo Lipparini , Jürgen Gauss , Stella Stopkowicz

A novel implementation of the coupled-cluster singles and doubles (CCSD) approach is presented that is specifically tailored for the treatment of large, symmetric systems. It fully exploits Abelian point-group symmetry and the use of the…

化学物理 · 物理学 2023-12-07 Tommaso Nottoli , Jürgen Gauss , Filippo Lipparini

We have presented the theory, implementation, and benchmark results for the one-electronic variant of spin-free exact two-component (SFX2C1e) linear response coupled cluster (LRCCSD) theory for static and dynamic polarizabilities of atoms…

化学物理 · 物理学 2024-05-31 Sudipta Chakraborty , Tamoghna Mukhopadhyay , Achintya Kumar Dutta

We present the formulation and implementation of triples correction scheme to the relativistic equation-of-motion coupled-cluster method for ionization potential. Both full and partial triples correction schemes are implemented using the…

化学物理 · 物理学 2026-03-31 Mrinal Thapa , Achinyta Kumar Dutta

The coupled cluster method (CCM) is a method of quantum many-body theory that may provide accurate results for the ground-state properties of lattice quantum spin systems even in the presence of strong frustration and for lattices of…

强关联电子 · 物理学 2009-11-11 D. J. J. Farnell , J. Schulenburg , J. Richter , K. A. Gernoth

In this contribution, we present the implementation of a second-order CASSCF algorithm in conjunction with the Cholesky decomposition of the two-electron repulsion integrals. The algorithm, called Norm-Extended Optimization, guarantees…

化学物理 · 物理学 2021-04-09 Tommaso Nottoli , Jürgen Gauss , Filippo Lipparini

Chiral crystals show promise for spintronic technologies on account of their high spin selectivity, which has led to significant recent interest in quantitative characterization and first-principles prediction of their spin-optoelectronics…

材料科学 · 物理学 2023-12-05 Christian Multunas , Andrew Grieder , Junqing Xu , Yuan Ping , Ravishankar Sundararaman
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