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Density functional theory (DFT) is an exact alternative formulation of quantum mechanics, in which it is possible to calculate the total energy, the spin and the charge density of many-electron systems in the ground state. In practice, it…

Atomic Physics · Physics 2014-03-25 Uri Argaman , Guy Makov , Eli Kraisler

The trend to fabricate electrical circuits on nanoscale dimensions has led to impressive progress in the field of molecular electronics in the last decade. A theoretical description of molecular contacts as the building blocks of future…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Denis Kast , Lars Kecke , Joachim Ankerhold

In the Thomas-Fermi model for the atom or ion, the electric potential $\phi$ and electron density $n$ are both expressed in terms of a screening number $\chi$ and the radius $x$. The second order differential equation for the screening…

Quantum Physics · Physics 2014-02-07 Herbert E. Müller

Despite of its huge successes in vast amount of applications, the Kohn-Sham scheme of density functional theory (DFT-Kohn-Sham) has not been able to get reliable ionization potentials (IP) for semiconductors, due to self-interaction error…

Materials Science · Physics 2016-04-07 Lin-Hui Ye

We present a review of the basic ideas and techniques of the spectral density functional theory which are currently used in electronic structure calculations of strongly-correlated materials where the one-electron description breaks down.…

Strongly Correlated Electrons · Physics 2009-11-11 G. Kotliar , S. Y. Savrasov , K. Haule , V. S. Oudovenko , O. Parcollet , C. A. Marianetti

We have used the locally self-consistent Green's function (LSGF) method in supercell calculations to establish the distribution of the net charges assigned to the atomic spheres of the alloy components in metallic alloys with different…

Materials Science · Physics 2009-11-07 A. V. Ruban , H. L. Skriver

We calculate the `exact' potential corresponding to a one-dimensional interacting system of two electrons with a specific, tailored density. We use one-dimensional density-functional theory with a local-density approximation (LDA) on the…

Other Condensed Matter · Physics 2015-05-13 J. P. Coe , I. D'Amico

A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a…

Nuclear Theory · Physics 2009-11-07 V. B. Soubbotin , V. I. Tselyaev , X. Vinas

We present a general method of constructing \textit{in-situ} pseodopotentials from first principles, all-electron, full-potential electronic structure calculations of a solid. The method is applied to bcc Na, at equilibrium volume. The…

Materials Science · Physics 2021-02-10 K. Björnson , J. M. Wills , M. Alouani , O. Grånäs , P. Thunström , Chin Shen Ong , O. Eriksson

Background: An accurate way to incorporate long range Coulomb interaction alongside short-range nuclear interaction has been a challenge for theoretical physicists. Purpose: In this paper, we propose a methodology based on the reference…

Nuclear Theory · Physics 2023-08-23 O. S. K. S. Sastri , Arushi Sharma , Ayushi Awasthi

New energy-density functionals (EDFs) inspired by effective-field theories (EFTs) have been recently proposed. The present work focuses on three of such functionals which were developed to produce satisfactory equations of state for nuclear…

Nuclear Theory · Physics 2018-09-26 Jérémy Bonnard , Marcella Grasso , Denis Lacroix

A general set of methods is presented for calculating chemical potentials in solid and liquid mixtures using {\em ab initio} techniques based on density functional theory (DFT). The methods are designed to give an {\em ab initio} approach…

Materials Science · Physics 2009-11-07 D. Alfe` , M. J. Gillan , G. D. Price

Electron-phonon coupling (EPC) is key for understanding many properties of materials such as superconductivity and electric resistivity. Although first principles density-functional-theory (DFT) based EPC calculations are used widely, their…

We present a spectral scheme for atomic structure calculations in pseudopotential Kohn-Sham density functional theory. In particular, after applying an exponential transformation of the radial coordinates, we employ global polynomial…

Computational Physics · Physics 2024-06-07 Sayan Bhowmik , John E. Pask , Andrew J. Medford , Phanish Suryanarayana

Density functional theory (DFT) offers a desirable balance between quantitative accuracy and computational efficiency in practical many-electron calculations. Its central component, the exchange-correlation energy functional, has been…

Owing to the computational complexity of electronic structure algorithms running on classical digital computers, the range of molecular systems amenable to simulation remains tightly circumscribed even after many decades of work. Quantum…

Quantum Physics · Physics 2022-05-18 Alexis Ralli , Michael I. Williams , Peter V. Coveney

In density functional theory, charge density is the core attribute of atomic systems from which all chemical properties can be derived. Machine learning methods are promising in significantly accelerating charge density prediction, yet…

Computational Physics · Physics 2024-05-30 Xiang Fu , Andrew Rosen , Kyle Bystrom , Rui Wang , Albert Musaelian , Boris Kozinsky , Tess Smidt , Tommi Jaakkola

The density of an atom in a state of well-defined angular momentum has a specific finite spherical harmonic content, without and with interactions. Approximate single-particle schemes, such as the Hartree, Hartree-Fock, and Local Density…

Materials Science · Physics 2009-02-05 H. A. Fertig , W. Kohn

We have formulated and implemented a fully charge-self-consistent density functional theory plus dynamical mean field theory methodology which enables an efficient calculation of the total energy of realistic correlated electron systems.…

Strongly Correlated Electrons · Physics 2015-06-22 Hyowon Park , Andrew J. Millis , Chris A. Marianetti

An ab-initio pseudopotential calculation using density functional theory within the local density approximation has been performed to investigate the electronic properties of TlSe which is of chain-like crystal geometry. The energy bands…

Strongly Correlated Electrons · Physics 2007-05-23 Ş. Ellialtıoğlu , E. Mete , R. Shaltaf , K. Allakhverdiev , F. Gashimzade , M. Nizametdinova , G. Orudzhev