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A fast stochastic method for calculating the 2nd order M{\o}ller-Plesset (MP2) correction to the correlation energy of large systems of electrons is presented. The approach is based on reducing the exact summation over occupied and…

化学物理 · 物理学 2012-12-12 Daniel Neuhauser , Eran Rabani , Roi Baer

We present a formulation of Laplace-transformed atomic orbital-based second-order M{\o}ller-Plesset perturbation theory (MP2) energies for two-component Hamiltonians in the Kramers-restricted formalism. This low-order scaling technique can…

化学物理 · 物理学 2017-05-18 Benjamin Helmich-Paris , Michal Repisky , Lucas Visscher

We present an implementation and analysis of a stochastic high performance algorithm to calculate the correlation energy of three dimensional periodic systems in second-order M{\o}ller-Plesset perturbation theory (MP2). In particular we…

化学物理 · 物理学 2018-02-12 Tobias Schäfer , Benjamin Ramberger , Georg Kresse

We present a low-complexity algorithm to calculate the correlation energy of periodic systems in second-order M\o ller-Plesset perturbation theory (MP2). In contrast to previous approximation-free MP2 codes, our implementation possesses a…

化学物理 · 物理学 2017-03-16 Tobias Schäfer , Benjamin Ramberger , Georg Kresse

Second-order Moller-Plesset perturbation theory (MP2) provides accurate correlation energies for periodic systems but suffers from finite-size errors (FSEs) that have inverse volume scaling due to the Coulomb kernel singularity in…

计算物理 · 物理学 2026-05-14 Stephen Jon Quiton , Juan D. F. Pottecher , Martin Head-Gordon , Lin Lin

The original formulation (Phys. Rev. Lett. 119, 063002, 2017) of the natural orbital functional - second-order M{\o}ller-Plesset (NOF-MP2) method is based on the MP2 that uses the canonical Hartree-Fock molecular orbitals. The current work…

化学物理 · 物理学 2018-08-22 Mario Piris

Quantum chemical methods dealing with challenging systems while retaining low computational costs have attracted attention. In particular, many efforts have been devoted to developing new methods based on the second-order perturbation that…

化学物理 · 物理学 2023-10-30 Nhan Tri Tran , Hoang Thanh Nguyen , Lan Nguyen Tran

In the present article, we introduce the relativistic Cholesky-decomposed density (CDD) matrix second-order M{\o}ller-Plesset perturbation theory (MP2) energies. The working equations are formulated in terms of the usual intermediates of…

化学物理 · 物理学 2018-12-26 Benjamin Helmich-Paris , Michal Repisky , Lucas Visscher

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

The calculation of the MP2 correlation energy for extended systems can be viewed as a multi-dimensional integral in the thermodynamic limit, and the standard method for evaluating the MP2 energy can be viewed as a trapezoidal quadrature…

计算物理 · 物理学 2023-04-10 Xin Xing , Xiaoxu Li , Lin Lin

We present second-order molecular cluster perturbation theory (MCPT(2)), a linear scaling methodology to calculate arbitrarily large systems with explicit calculation of individual wavefunctions in a coupled-cluster framework. This new…

We develop and test methods that include second and third-order perturbation theory (MP3) using orbitals obtained from regularized orbital-optimized second-order perturbation theory, $\kappa$-OOMP2, denoted as MP3:$\kappa$-OOMP2. Testing…

化学物理 · 物理学 2019-10-15 Luke W. Bertels , Joonho Lee , Martin Head-Gordon

Second-order Moller-Plesset perturbation theory (MP2) for ab initio simulations of solids is often limited by divergence or over-correlation issues, particularly in metallic, narrow-gap, and dispersion-stabilized systems. We develop and…

材料科学 · 物理学 2025-10-28 Meng-Fu Chen , Jinghong Zhang , Hieu Q. Dinh , Adam Rettig , Joonho Lee

Second-order M{\o}ller-Plesset perturbation theory (MP2) often breaks down catastrophically in small-gap systems, leaving much to be desired in its performance for myriad chemical applications such as noncovalent interactions,…

化学物理 · 物理学 2023-07-05 Kevin Carter-Fenk , 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

Some methods for the convergence acceleration of the M{\o}ller-Plesset perturbation series for the correlation energy are discussed. The order-by-order summation is less effective than the Feenberg series. The latter is obtained by…

chem-ph · 物理学 2011-08-22 Herbert H. H. Homeier

A second-order many-body perturbation correction to the relativistic Dirac-Hartree-Fock energy is evaluated stochastically by integrating 13-dimensional products of four-component spinors and Coulomb potentials. The integration in the real…

量子物理 · 物理学 2022-06-16 J. César Cruz , Jorge Garza , Takeshi Yanai , So Hirata

We propose an algorithm, that scales with the fifth power of the system size, for computing the second-order dispersion energy for monomers described with multiconfigurational wave functions. This scaling can be achieved when the number of…

We develop SOS-RILT-MP2, an efficient Gaussian-based periodic scaled opposite-spin second-order M{\o}ller-Plesset perturbation theory (SOS-MP2) algorithm that utilizes the resolution-of-the-identity approximation (RI) combined with the…

化学物理 · 物理学 2025-03-27 Idan Haritan , Xiao Wang , Tamar Goldzak

We present a scalable single-particle framework to treat electronic correlation in molecules and materials motivated by Green's function theory. We derive a size-extensive Brillouin-Wigner perturbation theory from the single-particle…

化学物理 · 物理学 2023-09-12 Christopher J. N. Coveney , David P. Tew
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