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To study crystals that contain heavy atoms, it is important to consider the relativistic effects, as electrons in orbitals close to the atom's nucleus can reach speeds comparable to that of light in a vacuum. In this study, we utilized the…

Materials Science · Physics 2024-04-25 Mahmoud Payami , Samira Sheykhi

In this letter we deduce an integral equation that allows to calculate the exact left-hand-cut discontinuity for an uncoupled $S$-wave partial-wave amplitude in potential scattering for a given finite-range potential. The results obtained…

Nuclear Theory · Physics 2017-10-11 D. R. Entem , J. A. Oller

The main goal of electronic structure methods is to solve the Schroedinger equation for the electrons in a molecule or solid, to evaluate the resulting total energies, forces, response functions and other quantities of interest. In this…

Materials Science · Physics 2015-06-24 Peter E. Blöchl , Johannes Kaestner , Clemens J. Foerst

To address ultimate precision in density-functional-theory calculations we employ the full-potential linearized augmented planewave + local-orbital (LAPW+lo) method and justify its usage as a benchmark method. LAPW+lo and two completely…

Computational Physics · Physics 2018-04-11 Andris Gulans , Anton Kozhevnikov , Claudia Draxl

We propose a novel numerical algorithm for computing the electronic structure related eigenvalue problem of incommensurate systems. Unlike the conventional practice that approximates the system by a large commensurate supercell, our…

Numerical Analysis · Mathematics 2019-03-27 Yuzhi Zhou , Huajie Chen , Aihui Zhou

We examine the influence of the relativistic effects within the linear augmented plane wave method (LAPW) for solids and propose a few alternative ways to accurately take them into account: (1) we introduce new radial dependencies for LAPW…

Materials Science · Physics 2026-04-14 A. V. Nikolaev , U. N. Kurelchuk , E. V. Tkalya

We present an accurate, first-principles study of the electronic structure and absorption spectrum of bulk copper within Density Functional Theory in the Local Density Approximation (DFT-LDA), including the study of intraband transitions.…

Materials Science · Physics 2009-11-07 Andrea Marini , Giovanni Onida , Rodolfo Del Sole

The aim of presented first principles study of La$_{0.5}$Bi$_{0.5}$NiO$_{3}$ is to investigate electronic structure of orthorhombic phase Pbnm. The calculations show that metallicity and magnetism of the system are strongly related with…

Materials Science · Physics 2023-07-19 J. Kaczkowski , M. Pugaczowa-Michalska , A. Jezierski

The essential features of a full potential electronic structure method using Linear Muffin-Tin Orbitals (LMTOs) are presented. The electron density and potential in the this method are represented with no inherent geometrical approximation.…

Materials Science · Physics 2007-05-23 John M Wills , Olle Eriksson , Mebarek Alouani , David L. Price

Electronic structure of bcc Np, fcc Pu, Am, and Cm pure metals under pressure has been investigated employing the LDA+U method with spin-orbit coupling (LDA+U+SO). Magnetic state of the actinide ions was analyzed in both LS and jj coupling…

An intrinsic issue of the LDA+DMFT approach is the so called double counting of interaction terms. How to choose the double-counting potential in a manner that is both physically sound and consistent is unknown. We have conducted an…

Strongly Correlated Electrons · Physics 2011-06-15 M. Karolak , G. Ulm , T. O. Wehling , V. Mazurenko , A. Poteryaev , A. I. Lichtenstein

We formulate a Hartree-Fock-LAPW method for electronic band structure calculations. The method is based on the Hartree-Fock-Roothaan approach for solids with extended electron states and closed core shells where the basis functions of…

Materials Science · Physics 2016-08-31 A. V. Nikolaev , P. N. Dyachkov

We present a general numerical approach to construct local Kohn-Sham potentials from orbital-dependent functionals within the all-electron full-potential linearized augmented-plane-wave (FLAPW) method, in which core and valence electrons…

Materials Science · Physics 2011-07-06 Markus Betzinger , Christoph Friedrich , Stefan Blügel , Andreas Görling

This article is concerned with the mathematical analysis of the Kohn-Sham and extended Kohn-Sham models, in the local density approximation (LDA) and generalized gradient approximation (GGA) frameworks. After recalling the mathematical…

Quantum Physics · Physics 2008-10-01 Arnaud Anantharaman , Eric Cancès

In non-self-consistent calculations of the total energy within the random-phase approximation (RPA) for electronic correlation, it is necessary to choose a single-particle Hamiltonian whose solutions are used to construct the electronic…

Materials Science · Physics 2016-01-28 Christopher E. Patrick , Kristian S. Thygesen

We present an implementation of localized atomic orbital basis sets in the projector augmented wave (PAW) formalism within the density functional theory (DFT). The implementation in the real-space GPAW code provides a complementary basis…

LDA+DMFT method in the framework of the iterative perturbation theory (IPT) with full LDA Hamiltonian without mapping onto the effective Wannier orbitals. We then apply this LDA+DMFT method to ferromagnetic bcc-Fe and fcc-Ni as a test of…

Strongly Correlated Electrons · Physics 2008-09-26 Oki Miura , Takeo Fujiwara

In this article we introduce a generalization of the popular DFT+U method based on the extended Hubbard model that includes on-site and inter-site electronic interactions. The novel corrective Hamiltonian is designed to study systems for…

Strongly Correlated Electrons · Physics 2015-05-13 Vivaldo Leiria Campo , Matteo Cococcioni

The magnetic, noncollinear parametrization of Dudarev's DFT+$U$ method is generalized to fully-relativistic ultrasoft pseudopotentials. We present the definition of the DFT+$U$ total energy functional, and the calculation of forces and…

Materials Science · Physics 2023-10-13 Luca Binci , Nicola Marzari

A mixed basis all-electron full-potential method, which uses two kinds of augmented waves, the augmented plane waves and the muffin-tin orbitals simultaneously, in addition to the local orbitals, was proposed by Kotani and van Schilfgaarde…

Materials Science · Physics 2015-02-10 Takao Kotani , Hiori Kino , Hisazumi Akai
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