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We describe further details of the Stochastic Coupled Cluster method and a diagnostic of such calculations, the shoulder height, akin to the plateau found in Full Configuration Interaction Quantum Monte Carlo. We describe an initiator…

化学物理 · 物理学 2016-03-23 James S. Spencer , Alex J. W. Thom

The ground state energy of the two--dimensional uniform electron gas has been calculated with fixed--node diffusion Monte Carlo, including backflow correlations, for a wide range of electron densities as a function of spin polarization. We…

强关联电子 · 物理学 2009-11-07 Claudio Attaccalite , Saverio Moroni , Paola Gori-Giorgi , Giovanni B. Bachelet

An implementation of the coupled-cluster single- and double excitations (CCSD) method on two-dimensional quantum dots is presented. Advantages and limitations are studied through comparison with other high accuracy approaches for two to…

介观与纳米尺度物理 · 物理学 2013-05-30 Erik Waltersson , Eva Lindroth

We use, for the first time, ab initio coupled-cluster theory to compute the spectral function of the uniform electron gas at a Wigner-Seitz radius of $r_\mathrm{s}=4$. The coupled-cluster approximations we employ go significantly beyond the…

Multi-configurational approaches yield universal wave function parameterizations that can qualitatively well describe electronic structures along reaction pathways. For quantitative results, multi-reference perturbation theory is required…

化学物理 · 物理学 2016-09-08 Christopher J. Stein , Vera von Burg , Markus Reiher

The energy-energy correlation (EEC) measures the angular distribution of the energy that flows through two calorimeters separated by some relative angle in the final state created by a source. We study this observable in the limit of small…

高能物理 - 理论 · 物理学 2020-01-29 G. P. Korchemsky

The variational and diffusion quantum Monte Carlo methods are used to calculate the correlation energy of the paramagnetic three-dimensional homogeneous electron gas at intermediate to high density. Ground state energies in finite cells are…

强关联电子 · 物理学 2023-03-29 Sam Azadi , N. D. Drummond , S. M. Vinko

A curious behavior of electron correlation energy is explored. Namely, the correlation energy is the energy that tends to drive the system toward that of the uniform electron gas. As such, the energy assumes its maximum value when a…

材料科学 · 物理学 2019-12-17 Teepanis Chachiyo , Hathaithip Chachiyo

During the last few years, a number of works in computer simulation have focused on the clustering and percolation properties of simple fluids based in an energetic connectivity criterion proposed long ago by T.L. Hill [J. Chem. Phys. 23,…

软凝聚态物质 · 物理学 2009-11-07 Luis A. Pugnaloni , Ileana F. Marquez , Fernando Vericat

A new method to determine electron correlation energy is described. This method is based on a better representation of the potential due to interacting electrons that is obtained by specifying both the average and standard deviation. The…

材料科学 · 物理学 2007-05-23 T. R. S. Prasanna

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 a novel combination of quantum Monte Carlo methods and a finite size extrapolation framework with which we calculate the thermodynamic limit of the exact correlation energy of the polarized electron gas at high densities to meV…

强关联电子 · 物理学 2018-10-17 Michele Ruggeri , Pablo López Ríos , Ali Alavi

The efficiency of the variational perturbation theory [Phys. Rev. C {\bf 62}, 045503 (2000)] formulated recently for many-particle systems is examined by calculating the ground state correlation energy of the 3D electron gas with the…

强关联电子 · 物理学 2009-11-07 Sang Koo You , Noboru Fukushima

We present a systematic investigation of the special twist method introduced by Rajagopal $\textit{et al.}$ [ Phys. Rev. B 51, 10591 (1995) ] for reducing finite-size effects in correlated calculations of periodic extended systems with…

强关联电子 · 物理学 2016-12-14 M. Dagrada , S. Karakuzu , V. L. Vildosola , M. Casula , S. Sorella

We derive the coupled-cluster doubles (CCD) amplitude equations by introduction of the particle-hole-time decoupled electronic self-energy. The resulting analysis leads to an expression for the ground state correlation energy that is…

强关联电子 · 物理学 2025-09-09 Christopher J. N. Coveney

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

Electronic structure methods built around double-electron excitations have a rich history in quantum chemistry. However, it seems to be the case that such methods are only suitable in particular situations and are not naturally equipped to…

化学物理 · 物理学 2024-07-12 Zachary W. Windom , Ajith Perera , Rodney J. Bartlett

We introduce a new paradigm for finite and infinite strict-one-dimensional uniform electron gases. In this model, $n$ electrons are confined to a ring and interact via a bare Coulomb operator. In the high-density limit (small-$r_s$, where…

强关联电子 · 物理学 2012-08-15 Pierre-François Loos , Peter M. W. Gill

A new method that accurately describes strongly correlated states and captures dynamical correlation is presented. It is derived as a modification of coupled-cluster theory with single and double excitations (CCSD) through consideration of…

化学物理 · 物理学 2013-07-15 Daniel Kats , Frederick R. Manby

Using the observed proportionality of CCSD(T) and MP2 correlation interaction energies [I. Grabowski, E. Fabiano, F. Della Sala, Phys. Chem. Chem. Phys. 15, 15485 (2013)] we propose a simple scaling procedure to compute accurate interaction…

化学物理 · 物理学 2015-10-08 E. Fabiano , F. Della Sala , I. Grabowski