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The extension of the density functional theory (DFT) to include pairing correlations without formal violation of the particle-number conservation condition is described. This version of the theory can be considered as a foundation of the…

Nuclear Theory · Physics 2007-05-23 S. Krewald , V. B. Soubbotin , V. I. Tselyaev , X. Vinas

Electrostatic correlation effects in inhomogeneous symmetric electrolytes are investigated within a previously developed electrostatic self-consistent (SC) theory (R.R. Netz and H. Orland, Eur. Phys.J. E 11, 301 (2003)). To this aim, we…

Soft Condensed Matter · Physics 2015-06-05 Sahin Buyukdagli , Cristian Achim , Tapio Ala-Nissila

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

Density Functional Theory (DFT) sees prominent use in computational chemistry and physics, however, problems due to the self-interaction error (SIE) pose additional challenges to obtaining qualitatively correct results. An unphysical energy…

Chemical Physics · Physics 2023-02-08 Dale R. Lonsdale , Lars Goerigk

When applied to a single nucleon, nuclear energy density functionals may yield a non-vanishing internal energy thus implying that the nucleon is interacting with itself. It is shown how to avoid this unphysical feature for semi-local…

Nuclear Theory · Physics 2011-01-28 N. Chamel

It is demonstrated that the commonly applied self interaction correction (SIC) used in density functional theory does not remove all self interaction. We present as an alternative a novel method which, by construction, is totally free from…

Materials Science · Physics 2007-05-23 Urban Lundin , Olle Eriksson

The construction of density-functional approximations is explored by modeling the adiabatic connection em locally, using energy densities defined in terms of the electrostatic potential of the exchange-correlation hole. These local models…

Chemical Physics · Physics 2016-05-04 Stefan Vuckovic , Tom Irons , Andreas Savin , Andrew M. Teale , Paola Gori-Giorgi

Most approximate exchange-correlation functionals used within density functional theory are constructed as the sum of two distinct contributions for exchange and correlation. Separating the exchange component from the entire functional is…

Condensed Matter · Physics 2009-10-28 Claudia Filippi , C. J. Umrigar , Xavier Gonze

Incommensurate charge density waves (CDW) have the extraordinary ability to display non-Ohmic behavior when submitted to an external field. The mechanism leading to this non trivial dynamics is still not well understood, although recent…

Strongly Correlated Electrons · Physics 2020-04-01 E. Bellec , I. Gonzalez-Vallejo , V. L. R. Jacques , A. A. Sinchenko , A. P. Orlov , P. Monceau , S. J. Leake , D. Le Bolloc'h

Semilocal density-functional approximations (DFAs), including the state-of-the-art SCAN functional, are plagued by the self-interaction error (SIE). While this error is explicitly defined only for one-electron systems, it has inspired the…

Materials Science · Physics 2024-01-23 Sheng Bi , Christian Carbogno , Igor Ying Zhang , Matthias Scheffler

In this paper we design efficient quadrature rules for finite element discretizations of nonlocal diffusion problems with compactly supported kernel functions. Two of the main challenges in nonlocal modeling and simulations are the…

Numerical Analysis · Mathematics 2021-09-23 Eugenio Aulisa , Giacomo Capodaglio , Andrea Chierici , Marta D'Elia

Many approximations within density-functional theory spuriously predict that a many-electron system can dissociate into fractionally charged fragments. Here, we revisit the case of dissociated diatomic molecules, known to exhibit this…

Chemical Physics · Physics 2015-09-01 Eli Kraisler , Leeor Kronik

We present a rigorous framework that combines single-particle Green's function theory with density functional theory based on a separation of electron-electron interactions into short-range and long-range components. Short-range…

Chemical Physics · Physics 2018-06-07 Alexei A. Kananenka , Dominika Zgid

A microscopic control over the origin and dynamics of localised spin centres in lower dimensional solids turns out to be a key factor for next generation spintronics and quantum technologies. With the help of low temperature electron…

Materials Science · Physics 2023-12-29 Sudipta Khamrui , Kamini Bharti , Daniella Goldfarb , Tilak Das , Debamalya Banerjee

We assess the accuracy of common hybrid exchange-correlation (XC) functionals (PBE0, PBE0-1/3, HSE06, HSE03, and B3LYP) within Kohn-Sham density functional theory (KS-DFT) for the harmonically perturbed electron gas at parameters relevant…

Chemical Physics · Physics 2023-03-08 Zhandos A. Moldabekov , Mani Lokamani , Jan Vorberger , Attila Cangi , Tobias Dornheim

We derive an exact expression for the photo-current of photo-emission spectroscopy using time-dependent current density functional theory (TDCDFT). This expression is given as an integral over the Kohn-Sham spectral function renormalized by…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 A. -M. Uimonen , G. Stefanucci , R. van Leeuwen

We introduced a new electron density n({\epsilon}) by projecting the spatial electron density n(r) onto the energy coordinate {\epsilon} defined with the external potential \upsion (r) of interest. Then, a density functional theory (DFT)…

Chemical Physics · Physics 2018-02-20 Hideaki Takahashi

We derive an energy density functional for non-relativistic spin one-half fermions in the limit of a divergent two-body scattering length. Using an epsilon expansion around d=4-epsilon spatial dimensions we compute the coefficient of the…

Nuclear Theory · Physics 2009-03-24 Gautam Rupak , Thomas Schaefer

Electronic states with fractional spins arise in systems with large static correlation (strongly correlated systems). Such fractional-spin states are shown to be ensembles of degenerate ground states with normal spins. It is proven here…

Other Condensed Matter · Physics 2009-11-13 Aron J. Cohen , Paula Mori-Sánchez , Weitao Yang

Due to several attractive features, the meta-generalized-gradient approximations (meta-GGAs) are considered to be the most advanced and potentially accurate semilocal exchange-correlation functionals in the rungs of the Jacob's ladder of…

Atomic and Molecular Clusters · Physics 2020-04-28 Abhilash Patra , Subrata Jana , Lucian A. Constantin , Prasanjit Samal