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We describe a formulation of multi-reference perturbation theory that obtains a rigorous upper bound to the second order energy by minimizing the Hylleraas functional in the space of matrix product states (MPS). The first order…

化学物理 · 物理学 2015-06-22 Sandeep Sharma , Garnet Kin-Lic Chan

We present two efficient and intruder-free methods for treating dynamic correlation on top of general multi-configuration reference wave functions---including such as obtained by the density matrix renormalization group (DMRG) with large…

化学物理 · 物理学 2016-09-13 Sandeep Sharma , Gerald Knizia , Sheng Guo , Ali Alavi

In this article we report a stochastic evaluation of the recently proposed LCC multireference perturbation theory [Sharma S., and Alavi A., J. Chem. Phys. 143, 102815, (2015)]. In this method both the zeroth order and first order…

化学物理 · 物理学 2017-03-08 Guillaume Jeanmairet , Sandeep Sharma , Ali Alavi

We develop an alternative formulation in the energy-domain to calculate the second order M{\o}ller-Plesset (MP2) perturbation energies. The approach is based on repeatedly choosing four random energies using a non-separable guiding…

化学物理 · 物理学 2013-10-22 Qinghui Ge , Yi Gao , Roi Baer , Eran Rabani , Daniel Neuhauser

In spite of missing dynamical correlations, the projected generator coordinate method (PGCM) was recently shown to be a suitable method to tackle the low-lying spectroscopy of complex nuclei. Still, describing absolute binding energies and…

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 discuss the time-dependent formulation of perturbation theory in the context of the interacting zeroth-order Hamiltonians that appear in multi-reference situations. As an example, we present a time-dependent formulation and…

化学物理 · 物理学 2018-04-09 Alexander Yu. Sokolov , Garnet K. -L. Chan

We report internally contracted relativistic multireference configuration interaction (ic-MRCI), complete active space second-order perturbation (CASPT2), and strongly contracted n-electron valence state perturbation theory (NEVPT2) on the…

化学物理 · 物理学 2015-12-31 Toru Shiozaki , Wataru Mizukami

The multi-reference Coupled Cluster method first proposed by Meller et al (J. Chem. Phys. 1996) has been implemented and tested. Guess values of the amplitudes of the single and double excitations (the ${\hat T}$ operator) on the top of the…

化学物理 · 物理学 2016-04-11 Emmanuel Giner , Grégoire David , Anthony Scemama , Jean Paul Malrieu

Perturbative methods are attractive to describe the electronic structure of molecular systems because of their low-computational cost and systematically improvable character. In this work, a two-step perturbative approach is introduced…

化学物理 · 物理学 2023-11-15 Loris Delafosse , Amr Hussein , Saad Yalouz , Vincent Robert

While first order perturbation theory is routinely used in quantum Monte Carlo (QMC) calculations, higher-order terms present significant numerical challenges. We present a new approach for computing perturbative corrections in projection…

核理论 · 物理学 2022-06-16 Bing-Nan Lu , Ning Li , Serdar Elhatisari , Yuan-Zhuo Ma , Dean Lee , Ulf-G. Meißner

Perturbative and non-perturbative expansion methods already constitute a tool of choice to perform ab initio calculations over a significant part of the nuclear chart. In this context, the categories of accessible nuclei directly reflect…

核理论 · 物理学 2022-01-28 Mikael Frosini , Thomas Duguet , Jean-Paul Ebran , Vittorio Somà

We demonstrate the accuracy of ground-state energies of the transcorrelated Hamiltonian, employing sophisticated Jastrow factors obtained from variational Monte Carlo, together with the coupled cluster and distinguishable cluster methods at…

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

An efficient perturbational treatment of spin-orbit coupling within the framework of high-level multi-reference techniques has been implemented in the most recent version of the COLUMBUS quantum chemistry package, extending the existing…

We extend first-order multiconfigurational symmetry-adapted perturbation theory, SAPT(MC), [Hapka M. et al. JCTC, 2021, 17], to account for double-exchange effects, where up to two electron pairs are exchanged between interacting monomers.…

化学物理 · 物理学 2025-04-21 Dominik Cieśliński , Michał Przybytek , Grzegorz Chałasiński , Michał Hapka

The Double-Correlated phase in HTSC, and its treatment by field perturbation theory, is established. In particular, we define the ground state, the quasi-particle excitations, and construct an appropriate field. We also derive the…

超导电性 · 物理学 2015-02-20 Moshe Dayan

We propose a multireference linearized coupled cluster theory using matrix product states (MPS-LCC) which provides remarkably accurate ground-state energies, at a computational cost that has the same scaling as multireference configuration…

化学物理 · 物理学 2015-09-02 Sandeep Sharma , Ali Alavi

A systematic method to account for electron correlation in periodic systems which can predict quantitatively correct band structures of non-conducting solids from first principles is presented. Using localized Hartree-Fock orbitals (both…

其他凝聚态物理 · 物理学 2007-05-23 V. Bezugly , U. Birkenheuer

A hybrid stochastic-deterministic approach for computing the second-order perturbative contribution $E^{(2)}$ within multireference perturbation theory (MRPT) is presented. The idea at the heart of our hybrid scheme --- based on a…

化学物理 · 物理学 2018-05-31 Yann Garniron , Anthony Scemama , Pierre-François Loos , Michel Caffarel
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