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We present a reduced-scaling auxiliary-field quantum Monte Carlo (AFQMC) framework designed for large molecular systems and ensembles, with or without coupling to optical cavities. Our approach leverages the natural block sparsity of…

化学物理 · 物理学 2026-02-03 Yu Zhang

A two-parameter extension of the density-scaled double hybrid approach of Sharkas et al. [J. Chem. Phys. 134, 064113 (2011)] is presented. It is based on the explicit treatment of a fraction of multideterminantal exact exchange. The…

化学物理 · 物理学 2012-01-12 Emmanuel Fromager

Achieving kJ/mol accuracy in the cohesive energy of molecular crystals, as necessary for crystal structure prediction and the resolution of polymorphism, is an ongoing challenge in computational materials science. Here, we evaluate the…

材料科学 · 物理学 2023-07-28 Yu Hsuan Liang , Hong-Zhou Ye , Timothy C. Berkelbach

Block tensor decomposition (BTD) and canonical polyadic decomposition (CPD) are combined into a unified $O(N^3)$-scaling framework for second-order perturbation theory (PT2), demonstrated on MP2 and renormalized PT2 (rPT2). BTD constructs…

化学物理 · 物理学 2026-05-28 Yueyang Zhang , Wei Wu , Peifeng Su

We present a second-order formulation of multi-reference algebraic diagrammatic construction theory [Sokolov, A. Yu. J. Chem. Phys. 2018, 149, 204113] for simulating photoelectron spectra of strongly correlated systems (MR-ADC(2)). The…

化学物理 · 物理学 2020-07-28 Koushik Chatterjee , Alexander Yu. Sokolov

The modified Cholesky decomposition is commonly used for precision matrix estimation given a specified order of random variables. However, the order of variables is often not available or cannot be pre-determined. In this work, we propose…

机器学习 · 统计学 2021-11-23 Xiaoning Kang , Xinwei Deng

We present an efficient implementation of ground and excited state CCSD gradients based on Cholesky-decomposed electron repulsion integrals. Cholesky decomposition, like density-fitting, is an inner projection method, and thus similar…

化学物理 · 物理学 2022-08-24 Anna Kristina Schnack-Petersen , Henrik Koch , Sonia Coriani , Eirik F. Kjønstad

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

The use of two low cost methods for the prediction of the inner-shells contribution to the correlation energy is analyzed. The Spin-Component-Scaled second order M{\o}ller-Plesset perturbation theory (SCS-MP2) was reparameterized for the…

化学物理 · 物理学 2024-05-16 Hernán R. Sánchez

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

We introduce a perturbative approximation to the combined density functional theory and multireference configuration interaction (DFT/MRCI) method. The method, termed DFT/MRCI(2), results from the application of quasi-degenerate…

化学物理 · 物理学 2022-11-09 Simon P. Neville , Michael S. Schuurman

Quantum chemistry methods exploiting density-functional approximations for short-range electron-electron interactions and second-order M{{\o}}ller-Plesset (MP2) perturbation theory for long-range electron-electron interactions have been…

We test the performance of a number of two- and one-parameter double-hybrid approximations, combining semilocal exchange-correlation density functionals with periodic local second-order M{\o}ller-Plesset (LMP2) perturbation theory, for…

化学物理 · 物理学 2015-06-22 Kamal Sharkas , Julien Toulouse , Lorenzo Maschio , Bartolomeo Civalleri

The exponential computational cost of describing strongly correlated electrons can be mitigated by adopting a reduced density-matrix (RDM)-based description of the electronic structure. While variational two-electron RDM (v2RDM) methods can…

化学物理 · 物理学 2026-01-06 Grier M. Jones , Run. R. Li , A. Eugene DePrince , Konstantinos D. Vogiatzis

We present a simple and non-empirical method to determine optimal scaling coefficients, within the (spin-component)-scaled MP2 approach, for calculating intermolecular potential energies of noncovalently-interacting systems. The method is…

化学物理 · 物理学 2017-09-13 I. Grabowski , E. Fabiano , F. Della Sala

Ab initio methods based on the second-order and higher connected moments, or cumulants, of a reference function have seen limited use in the determination of correlation energies of chemical systems throughout the years. Moment-based…

化学物理 · 物理学 2023-08-25 Brad Ganoe , Martin Head-Gordon

A multicomponent second-order M{\o}ller-Plesset perturbation theory (MP2) method is derived and implemented within the constrained nuclear-electronic orbital (CNEO) framework from a multicomponent generalization of the Hylleraas functional.…

化学物理 · 物理学 2026-04-28 Gabrielle B. Tucker , Kurt R. Brorsen

Large kernel systems are prone to be ill-conditioned. Pivoted Cholesky decomposition (PCD) render a stable and efficient solution to the systems without a perturbation of regularization. This paper proposes a new PCD algorithm by tuning…

数值分析 · 数学 2019-04-29 Dishi Liu , Hermann G. Matthies

A partial-active-space (PAS) multi-state (MS) multi-reference second-order perturbation theory (MRPT2) for the electronic structure of strongly correlated systems of electrons, dubbed PASPT2, is formulated by linearizing the intermediate…

化学物理 · 物理学 2026-05-21 Chunzhang Liu , Ning Zhang , Wenjian Liu

We study the performance of spin-component-scaled second-order M{\o}ller-Plesset perturbation theory (SCS-MP2) for the prediction of the lattice constant, bulk modulus, and cohesive energy of 12 simple, three-dimensional, covalent and ionic…

材料科学 · 物理学 2022-11-23 Tamar Goldzak , Xiao Wang , Hong-Zhou Ye , Timothy C. Berkelbach