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Related papers: Koopmans-compliant functionals and potentials and …

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Koopmans-compliant functionals emerge naturally from extending the constraint of piecewise linearity of the total energy as a function of the number of electrons to each fractional orbital occupation. When applied to approximate…

Materials Science · Physics 2015-06-19 Giovanni Borghi , Andrea Ferretti , Ngoc Linh Nguyen , Ismaila Dabo , Nicola Marzari

Over the past decade we have developed Koopmans functionals, a computationally efficient approach for predicting spectral properties with an orbital-density-dependent functional framework. These functionals impose a generalized piecewise…

Koopmans-compliant functionals have been shown to provide accurate spectral properties for molecular systems; this accuracy is driven by the generalized linearization condition imposed on each charged excitation - i.e. on changing the…

Materials Science · Physics 2018-05-30 Ngoc Linh Nguyen , Nicola Colonna , Andrea Ferretti , Nicola Marzari

The determination of spectral properties from first principles can provide powerful connections between microscopic theoretical predictions and experimental data, but requires complex electronic-structure formulations that fall outside the…

Materials Science · Physics 2014-09-16 Ngoc Linh Nguyen , Giovanni Borghi , Andrea Ferretti , Ismaila Dabo , Nicola Marzari

Koopmans-compliant functionals provide an orbital-density-dependent framework for an accurate evaluation of spectral properties; they are obtained by imposing a generalized piecewise-linearity condition on the total energy of the system…

Materials Science · Physics 2022-07-06 Riccardo De Gennaro , Nicola Colonna , Edward Linscott , Nicola Marzari

Koopmans spectral functionals aim to describe simultaneously ground state properties and charged excitations of atoms, molecules, nanostructures and periodic crystals. This is achieved by augmenting standard density functionals with simple…

Materials Science · Physics 2022-07-25 Nicola Colonna , Riccardo De Gennaro , Edward Linscott , Nicola Marzari

Koopmans spectral functionals are a class of orbital-density-dependent functionals designed to accurately predict spectroscopic properties. They do so markedly better than their Kohn-Sham density-functional theory counterparts, as…

Chemical Physics · Physics 2023-04-21 Yannick Schubert , Nicola Marzari , Edward Linscott

Koopmans spectral functionals are a powerful extension of Kohn-Sham density-functional theory (DFT) that enable the prediction of spectral properties with state-of-the-art accuracy. The success of these functionals relies on capturing the…

Materials Science · Physics 2024-12-23 Yannick Schubert , Sandra Luber , Nicola Marzari , Edward Linscott

In approximate Kohn-Sham density-functional theory, self-interaction manifests itself as the dependence of the energy of an orbital on its fractional occupation. This unphysical behavior translates into qualitative and quantitative errors…

Materials Science · Physics 2010-09-28 Ismaila Dabo , Andrea Ferretti , Nicolas Poilvert , Yanli Li , Nicola Marzari , Matteo Cococcioni

We evaluate the accuracy of electron densities and quasiparticle energy gaps given by hybrid functionals by directly comparing these to the exact quantities obtained from solving the many-electron Schrodinger equation. We determine the…

Materials Science · Physics 2021-01-15 A. R. Elmaslmane , Jack Wetherell , M. J. P. Hodgson , K. P. McKenna , R. W. Godby

Electronic-structure functionals that include screening effects, such as Hubbard or Koopmans' functionals, require to describe the response of a system to the fractional addition or removal of an electron from an orbital or a manifold.…

Computational Physics · Physics 2018-10-02 Nicola Colonna , Ngoc Linh Nguyen , Andrea Ferretti , Nicola Marzari

The performance of density functional theory depends largely on the approximation applied for the exchange functional. We propose here a novel screened exchange potential for semiconductors, with parameters based on the physical properties…

Materials Science · Physics 2021-01-04 Michael Lorke , Peter Deák , Thomas Frauenheim

We solve the Dyson equation for atoms and diatomic molecules within the GW approximation, in order to elucidate the effects of self-consistency on the total energies and ionization potentials. We find GW to produce accurate energy…

Materials Science · Physics 2015-03-30 Adrian Stan , Nils Erik Dahlen , Robert van Leeuwen

We have proposed a method for correcting the Kohn-Sham eigen energies in the density functional theory (DFT) based on the Koopmans theorem using Wannier functions. The method provides a general approach applicable for molecules and solids…

Computational Physics · Physics 2015-03-02 Jie Ma , Lin-Wang Wang

We present a substantial extension of our constraint-based approach for development of orbital-free (OF) kinetic-energy (KE) density functionals intended for the calculation of quantum-mechanical forces in multi-scale molecular dynamics…

Materials Science · Physics 2015-05-13 V. V. Karasiev , R. S. Jones , S. B. Trickey , Frank E. Harris

We investigate the numerical accuracy of the extended Koopmans's theorem (EKT) in reproducing the full configuration interaction (FCI) and complete active-space configuration interaction (CAS-CI) ionization energies (IEs) of atomic and…

Chemical Physics · Physics 2024-06-28 Reza Hemmati , Mohammad Mostafanejad , J. V. Ortiz

The universal functional of Hohenberg-Kohn is given as a coupling-constant integral over the density as a functional of the potential. Conditions are derived under which potential-functional approximations are variational. Construction via…

Other Condensed Matter · Physics 2011-06-13 Attila Cangi , Donghyung Lee , Peter Elliott , Kieron Burke , E. K. U. Gross

The presence of spin-orbit coupling or non-collinear magnetic spin states can have dramatic effects on the ground-state and spectral properties of materials, in particular on the band structure. Here, we develop non-collinear…

Materials Science · Physics 2024-07-24 Antimo Marrazzo , Nicola Colonna

The Wang-Teter-like nonlocal kinetic energy density functional (KEDF) in the framework of orbital-free density functional theory, while successful in some bulk systems, exhibits a critical Blanc-Cances instability [J. Chem. Phys. 122,…

Materials Science · Physics 2026-03-17 Liang Sun , Mohan Chen

We present and test a new approximation for the exchange-correlation (xc) energy of Kohn-Sham density functional theory. It combines exact exchange with a compatible non-local correlation functional. The functional is by construction free…

Chemical Physics · Physics 2014-05-23 Tobias Schmidt , Eli Kraisler , Adi Makmal , Leeor Kronik , Stephan Kümmel
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