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The many-body theory of interacting electrons poses an intrinsically difficult problem that requires simplifying assumptions. For the determination of electronic screening properties of the Coulomb interaction, the Random Phase…

Strongly Correlated Electrons · Physics 2021-07-26 Erik G. C. P. van Loon , Malte Rösner , Mikhail I. Katsnelson , Tim O. Wehling

A family of orbiting resonances in molecular scattering is globally described by using a single pole moving in the complex angular momentum plane. The extrapolation of this pole at negative energies gives the location of the bound states.…

Atomic Physics · Physics 2009-11-07 Enrico De Micheli , Giovanni Alberto Viano

We extend the localized operator partitioning method (LOPM) [J. Nagesh, A.F. Izmaylov, and P. Brumer, J. Chem. Phys. 142, 084114 (2015)] to the time-dependent density functional theory (TD-DFT) framework to partition molecular electronic…

Chemical Physics · Physics 2017-09-13 Jayashree Nagesh , Michael J. Frisch , Paul Brumer , Artur F. Izmaylov

We present a new theory for partitioning simulations of periodic and solid-state systems into physically sound atomic contributions at the level of Kohn-Sham density functional theory. Our theory is based on spatially localized linear…

Chemical Physics · Physics 2024-10-01 Luna Zamok , Janus J. Eriksen

A framework for developing new approximate electronic structure methods is presented, in which the correlation energy of a many-electron system in the ground state is computed as in the single-reference second-order many-body perturbation…

Chemical Physics · Physics 2011-06-15 Dimitri Laikov

The quantum transport of electrons in a wire of localized dots by hopping, interaction and dissipation is calculated and a representation by an equivalent RCL circuit is found. The exact solution for the electric-field induced currents…

Mesoscale and Nanoscale Physics · Physics 2017-05-18 Klaus Morawetz

We introduce an orbital-optimized double-hybrid (DH) scheme using the optimized-effective-potential (OEP) method. The orbitals are optimized using a local potential corresponding to the complete exchange-correlation energy expression…

While there have been many developments in computational probes of both strongly-correlated molecular systems and machine-learning accelerated molecular dynamics, there remains a significant gap in capabilities in simulating accurate…

Chemical Physics · Physics 2025-04-04 Yannic Rath , George H. Booth

Recently, we introduced (e-print arXiv:1407.7128) {\em local reduced density matrix functional theory} (local RDMFT), a theoretical scheme capable of incorporating static correlation effects in Kohn-Sham equations. Here, we apply local…

Chemical Physics · Physics 2014-11-07 Nektarios N. Lathiotakis , Nicole Helbig , Angel Rubio , Nikitas I. Gidopoulos

The electromagnetic form factors of the $\Lambda$ hyperon in the time-like region are determined precisely through a dispersion-theoretical analysis of the world data for the cross section of the annihilation process $e^+e^-\to…

High Energy Physics - Phenomenology · Physics 2022-12-21 Yong-Hui Lin , Hans-Werner Hammer , Ulf-G. Meißner

We revisit the connection between equation-of-motion coupled cluster (EOM-CC) and random phase approximation (RPA) explored recently by Berkelbach [J. Chem. Phys. 149, 041103 (2018)] and unify various methodological aspects of these diverse…

Chemical Physics · Physics 2020-12-17 Varun Rishi , Ajith Perera , Rodney J. Bartlett

The random-phase-approximation (RPA) method with separable residual forces (SRPA) is proposed for the description of multipole electric oscillations of valence electrons in deformed alkali metal clusters. Both the deformed mean field and…

Atomic and Molecular Clusters · Physics 2009-11-07 W. Kleinig , V. O. Nesterenko , P. G. Reinhard

We derive the random-phase approximation for spin excitations in general multi-band Hubbard models, starting from a collinear ferromagnetic Hartree-Fock ground state. The results are compared with those of a recently introduced variational…

Strongly Correlated Electrons · Physics 2009-11-07 J. Buenemann , F. Gebhard

We consider a class of percolation models where the local occupation variables have long-range correlations decaying as a power law $\sim r^{-a}$ at large distances $r$, for some $0< a< d$ where $d$ is the underlying spatial dimension. For…

Statistical Mechanics · Physics 2024-05-01 Christopher Chalhoub , Alexander Drewitz , Alexis Prévost , Pierre-François Rodriguez

We present a method to approximate post-Hartree-Fock correlation energies by using approximate natural orbitals obtained by the random phase approximation (RPA). We demonstrate the method by applying it to the helium atom, the hydrogen and…

Chemical Physics · Physics 2021-03-22 Benjamin Ramberger , Zoran Sukurma , Tobias Schäfer , Georg Kresse

The correlation part of the pair density is separated into two components, one of them being predominant at short electronic ranges and the other at long ranges. The analysis of the intracular part of these components permits to classify…

Chemical Physics · Physics 2019-07-10 Mireia Via-Nadal , Mauricio Rodríguez-Mayorga , Eloy Ramos-Cordoba , Eduard Matito

The practice of collider physics typically involves the marginalization of multi-dimensional collider data to uni-dimensional observables relevant for some physics task. In any cases, such as classification or anomaly detection, the…

High Energy Physics - Phenomenology · Physics 2026-03-26 Arindam Bhattacharya , Katherine Fraser , Matthew D. Schwartz

We discuss that in the random phase approximation (RPA) the first derivative of the energy with respect to the Green's function is the self-energy in the GW approximation. This relationship allows us to derive compact equations for the RPA…

Chemical Physics · Physics 2017-03-22 Benjamin Ramberger , Tobias Schäfer , Georg Kresse

A functional $E_{xc}[\rho(\r,\epsilon)]$ is presented, in which the exchange and correlation energy of an electron gas depends on the local density of occupied states. A simple local parametrization scheme is proposed, entirely from first…

Materials Science · Physics 2009-11-10 Jose M. Soler

Self-consistent correlation potentials for H$_2$ and LiH for various inter-atomic separations are obtained within the random phase approximation (RPA) of density functional theory. The RPA correlation potential shows a peak at the bond…

Chemical Physics · Physics 2015-05-30 M. Hellgren , D. R. Rohr , E. K. U. Gross
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