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Related papers: Multi-reference extension to virtual crystal appro…

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Constructing a quantum description of crystals from scattering experiments is of paramount importance to explain their macroscopic properties and to evaluate the pertinence of theoretical ab-initio models. While reconstruction methods of…

Materials Science · Physics 2019-04-19 Benjamin De Bruyne , Jean-Michel Gillet

We propose a novel approach to electron correlation for multireference systems. It is based on particle-hole (ph) and particle-particle (pp) theories in the second-order, developed in the random phase approximation (RPA) framework for…

Chemical Physics · Physics 2024-12-03 Aleksandra Tucholska , Yang Guo , Katarzyna Pernal

We present a purely diagrammatic derivation of the dual fermion scheme [Phys. Rev. B 77 (2008) 033101]. The derivation makes particularly clear that a similar scheme can be developed for an arbitrary reference system provided it has the…

Strongly Correlated Electrons · Physics 2020-10-28 Sergey Brener , Evgeny A. Stepanov , Alexey N. Rubtsov , Mikhail I. Katsnelson , Alexander I. Lichtenstein

We present the pseudo-particle multipole method (P2M2), a new method to handle multipole expansion in fast multipole method and treecode. This method uses a small number of pseudo-particles to express multipole expansion. With this method,…

Astrophysics · Physics 2007-05-23 Atsushi Kawai , Junichiro Makino

The extension of the first-principles generalized pseudopotential theory (GPT) to transition-metal (TM) aluminides produces pair and many-body interactions that allow efficient calculations of total energies. In aluminum-rich systems…

Valence energies for crystalline C, Si, Ge, and Sn with diamond structure have been determined using an ab-initio approach based on information from cluster calculations. Correlation contributions, in particular, have been evaluated in the…

Condensed Matter · Physics 2016-08-31 Beate Paulus , Peter Fulde , Hermann Stoll

We scrutinize the accuracy of the pseudopotential approximation in density-functional theory (DFT) calculations of surfaces by systematically comparing to results obtained within a full-potential setup. As model system we choose the CO…

Materials Science · Physics 2007-05-23 Adam Kiejna , Georg Kresse , Jutta Rogal , Abir De Sarkar , Karsten Reuter , Matthias Scheffler

The random phase approximation (RPA) as formulated as an orbital-dependent, fifth-rung functional within the density functional theory (DFT) framework offers a promising approach for calculating the ground-state energies and the derived…

Computational Physics · Physics 2023-07-25 Rong Shi , Peize Lin , Min-Ye Zhang , Lixin He , Xinguo Ren

The growing need for uncertainty analysis of complex computational models has led to an expanding use of meta-models across engineering and sciences. The efficiency of meta-modeling techniques relies on their ability to provide…

Numerical Analysis · Mathematics 2016-08-24 Katerina Konakli , Bruno Sudret

We develop an automated procedure to select the local potential of a separable pseudopotential that minimizes transferability errors for the isolated atom, and we show that this optimization leads to significant improvements in the accuracy…

Chemical Physics · Physics 2018-11-05 Casey O. Barkan , Andrew M. Rappe

The ground-state correlation energy calculated in the random-phase approximation (RPA) is known to be identical to that calculated using a subset of terms appearing in coupled-cluster theory with double excitations. In particular, this…

Chemical Physics · Physics 2019-04-16 Timothy C. Berkelbach

The Dynamical Cluster Approximation (DCA) is modified to include disorder. The DCA incorporates non-local corrections to local approximations such as the Coherent Potential Approximation (CPA) by mapping the lattice problem with disorder,…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Jarrell , H. R. Krishnamurthy

Practical applications of fragment embedding and closely related local correlation methods critically depend on a judicious choice of a low-level theory to define the local embedding subspace and to capture long-range electrostatic and…

Chemical Physics · Physics 2026-05-14 Ruiheng Song , Xiliang Gong , Aamy Bakry , Hong-Zhou Ye

This paper introduces two mechanisms for computing over-approximations of sets of reachable states, with the aim of ensuring termination of state-space exploration. The first mechanism consists in over-approximating the automata…

Formal Languages and Automata Theory · Computer Science 2013-11-27 Alois Dreyfus , Pierre-Cyrille Heam , Olga Kouchnarenko

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 introduce three novel semi-parametric extensions of probabilistic canonical correlation analysis with identifiability guarantees. We consider moment matching techniques for estimation in these models. For that, by drawing explicit links…

Machine Learning · Statistics 2016-06-06 Anastasia Podosinnikova , Francis Bach , Simon Lacoste-Julien

We extend the conforming virtual element method to the numerical resolution of eigenvalue problems with potential terms on a polytopal mesh. An important application is that of the Schrodinger equation with a pseudopotential term. This…

Numerical Analysis · Mathematics 2018-04-04 Ondrej Certik , Francesca Gardini , Gianmarco Manzini , Giuseppe Vacca

As a generalization of entanglement entropy, pseudo entropy is not always real. The real-valued pseudo entropy has promising applications in holography and quantum phase transition. We apply the notion of pseudo-Hermticity to formulate the…

High Energy Physics - Theory · Physics 2023-05-24 Wu-zhong Guo , Song He , Yu-Xuan Zhang

In this paper, we investigate the reducibility property of semidirect products of the form $\bf V*\bf D$ relatively to (pointlike) systems of equations of the form $x_1=\cdots=x_n$, where $\bf D$ denotes the pseudovariety of definite…

Group Theory · Mathematics 2016-03-03 J. C. Costa , C. Nogueira , M. L. Teixeira

We report a new implementation of multireference algebraic diagrammatic construction theory (MR-ADC) for simulations of electron attachment and ionization in strongly correlated molecular systems (EA/IP-MR-ADC). Following our recent work on…

Chemical Physics · Physics 2021-01-19 Koushik Chatterjee , Alexander Yu. Sokolov