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An approximate solution to the time-dependent density functional theory (TDDFT) response equations for finite systems is developed, yielding corrections to the single-pole approximation. These explain why allowed Kohn-Sham transition…

Materials Science · Physics 2009-11-07 H. Appel , E. K. U. Gross , K. Burke

The accuracy of bulk property predictions in density functional theory (DFT) calculations depends on the choice of exchange-correlation functional. While the Perdew-Burke-Ernzerhof (PBE) functional systematically overestimates lattice…

Density functional theory (DFT) is shown to provide a novel conceptual and computational framework for entanglement in interacting many-body quantum systems. DFT can, in particular, shed light on the intriguing relationship between quantum…

Quantum Physics · Physics 2009-11-11 L. -A. Wu , M. S. Sarandy , D. A. Lidar , L. J. Sham

Despite its widespread use, density functional theory (DFT) has several notable areas of failure; perhaps the most well-studied of these failures is self-interaction error (SIE). Density corrected DFT (DC-DFT) was proposed as a potential…

Chemical Physics · Physics 2023-06-28 Devin J. Hernandez , Adam Rettig , Martin Head-Gordon

Recently we proposed an information entropy based method for electronic structure calculations within the density-matrix functional theory(DMFT) (Phys. Rev. Lett. 128, 013001), dubbed as $i$-DMFT. Comments have been raised regarding the…

Quantum Physics · Physics 2022-07-07 Jian Wang , Evert Jan Baerends

Using the Runge-Gross theorem that establishes the foundation of Time-dependent Density Functional Theory (TDDFT) we prove that for a given electronic Hamiltonian, choice of initial state, and choice of fragmentation, there is a unique…

Chemical Physics · Physics 2015-06-15 Martin A. Mosquera , Daniel Jensen , Adam Wasserman

We combine techniques from quantum and from classical density functional theory (DFT) to describe electron-ion mixtures. For homogeneous systems, we show how to calculate ion-ion and ion-electron correlation functions within Chihara's…

Materials Science · Physics 2007-05-23 A. A. Louis , H. Xu , J. A. Anta

Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going efforts seek to better…

Nuclear Theory · Physics 2015-12-23 N. Schunck , J. D. McDonnell , D. Higdon , J. Sarich , S. M. Wild

Standard approximations for the exchange-correlation (XC) functional in Kohn-Sham density functional theory (KS-DFT) typically lead to unacceptably large errors when applied to strongly-correlated electronic systems. Partition-DFT (PDFT) is…

Chemical Physics · Physics 2023-09-12 Yi Shi , Yuming Shi , Adam Wasserman

We propose a way to improve energy density functionals (EDFs) in the density functional theory based on the combination of the inverse Kohn--Sham method and the density functional perturbation theory. Difference between the known EDF and…

Chemical Physics · Physics 2019-11-22 Tomoya Naito , Daisuke Ohashi , Haozhao Liang

We present a critical analysis of the popular fragment-orbital density-functional theory (FO-DFT) scheme for the calculation of electronic coupling values. We discuss the characteristics of different possible formulations or 'flavors' of…

Materials Science · Physics 2016-02-17 Christoph Schober , Karsten Reuter , Harald Oberhofer

The very good performance of modern density functional theory for molecular geometries and harmonic vibrational frequencies has been well established. We investigate the performance of density functional theory (DFT) for quartic force…

Chemical Physics · Physics 2007-05-23 A. Daniel Boese , Wim Klopper , Jan M. L. Martin

Equilibrium crystal structures, electron band dispersions and band gap values of layered GaSe and InSe semiconductors, each being represented by four polytypes, are studied via first-principles calculations within the density functional…

Materials Science · Physics 2018-08-10 Juliana Srour , Michael Badawi , Fouad El Haj Hassan , Andrei Postnikov

Density functional theory (DFT) stands as a cornerstone method in computational quantum chemistry and materials science due to its remarkable versatility and scalability. Yet, it suffers from limitations in accuracy, particularly when…

Charge traps in the semiconductor bulk (bulk charge traps) make it difficult to predict the electric field within wide-bandgap semiconductors. The issue is the daunting number of bulk charge-trap candidates which means the treatment of bulk…

As density functional theory conventionally assumes that the density of a chosen model system (e.g., the Kohn-Sham system) is the same as the exact one, one might expect that approximations to the exact density introduce supplementary…

Chemical Physics · Physics 2009-02-17 A. Savin

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

Materials Science · Physics 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

A self-consistent calculation scheme for correlated electron systems is created based on the density-functional theory (DFT). Our scheme is a multi-reference DFT (MR-DFT) calculation in which the electron charge density is reproduced by an…

Strongly Correlated Electrons · Physics 2009-11-13 Koichi Kusakabe , Naoshi Suzuki , Shusuke Yamanaka , Kizashi Yamaguchi

The performance of two modern density-functionals, HSE06 and TB-mBJ, on predicting electronic structures of metal oxides, chalcogenides and nitrides, is studied in terms of band gaps, band structure and projected density-of-states. Contrary…

Materials Science · Physics 2013-03-22 Wenqing Li , Christian F. J. Walther , Agnieszka Kuc , Thomas Heine

Ensemble density functional theory (EDFT) is a promising alternative to time-dependent density functional theory for computing electronic excitation energies. Using coordinate scaling, we prove several fundamental exact conditions in EDFT…

Strongly Correlated Electrons · Physics 2023-07-04 Thais R. Scott , John Kozlowski , Steven Crisostomo , Aurora Pribram-Jones , Kieron Burke