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This paper is a continuation of our detailed study [Phys. Rev. B 86, 195106 (2012)] of the performance of the recently proposed modified Becke-Jonhson potential (mBJLDA) within the known Wien2k code. From the 41 semiconductors that we have…

Strongly Correlated Electrons · Physics 2015-03-13 J. A. Camargo-Martínez , R. Baquero

We formulate a spin-polarized van Leeuwen and Baerends (vLB) correction to the local density approximation (LDA) exchange potential [Phys. Rev. A 49, 2421 (1994)] that enforces the ionization potential (IP) theorem following Stein et al.…

Materials Science · Physics 2016-03-09 Prashant Singh , Manoj K. Harbola , M. Hemanadhan , Abhijit Mookerjee , D. D. Johnson

A new scheme for the numerical evaluation of the one-loop self-energy correction to all orders in Z \alpha is presented. The scheme proposed inherits the attractive features of the standard potential-expansion method but yields a…

Atomic Physics · Physics 2009-11-11 Vladimir A. Yerokhin , Krzysztof Pachucki , Vladimir M. Shabaev

We report calculations of the electronic structure of CaB$_6$ using the weighted density approximation (WDA) to density functional theory. We find a semiconducting band structure with a sizable gap, in contrast to local density…

Strongly Correlated Electrons · Physics 2009-11-10 Z. Wu , D. J. Singh , R. E. Cohen

The DFT-1/2 method in density functional theory [L. G. Ferreira et al., Phys. Rev. B 78, 125116 (2008)] aims to provide accurate band gaps at the computational cost of semilocal calculations. The method has shown promise in a large number…

Materials Science · Physics 2019-03-04 Jan Doumont , Fabien Tran , Peter Blaha

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher-order…

Atomic Physics · Physics 2010-01-14 U. D. Jentschura , V. A. Yerokhin

Self-energy corrections to the energy levels of bound electrons are calculated in the framework of path integrals. We arrive at the full fermion propagator, using methods of functional integrals, in the form of Schwinger-Dyson equation…

Atomic Physics · Physics 2023-09-28 Sreya Banerjee , Zoltán Harman

Recently in the Wien2k code, the modified Becke-Johnson potential (mBJLDA) was implemented. As the authors [{\em Phys.Rev.Lett.} 102, 226401 (2009)] point, this potential reproduces the band gap of semiconductors with improved accuracy. In…

Materials Science · Physics 2013-10-11 J. A. Camargo , R. Baquero

The calculation of self-energy corrections to the electron bands of a metal requires the evaluation of the intraband contribution to the polarizability in the small-q limit. When neglected, as in standard GW codes for semiconductors and…

Materials Science · Physics 2009-11-13 Marco Cazzaniga , Nicola Manini , Luca Guido Molinari , Giovanni Onida

We have performed {\it ab initio} calculations for a series of energetic solids to explore their structural and electronic properties. To evaluate the ground state volume of these molecular solids, different dispersion correction methods…

Materials Science · Physics 2015-09-29 S. Appalakondaiah , G. Vaitheeswaran , S. Lebègue

Methods of bound-state QED that treat the self-energy contributions to the Lamb shift within the partial-wave expansion usually face the problem of slow convergence of the latter. Inspired by an approach formulated in [J. Sapirstein and K.…

Atomic Physics · Physics 2024-04-09 A. V. Malyshev , E. A. Prokhorchuk , V. M. Shabaev

We report a series of calculations testing the predictions of the Tran-Blaha functional for the electronic structure and magnetic properties of condensed systems. We find a general improvement in the properties of semiconducting and…

Materials Science · Physics 2010-11-08 David J. Singh

The accurate prediction of band gaps and structural properties in periodic systems continues to be one of the central goals of electronic structure theory. However, band gaps obtained from popular exchange-correlation functionals (such as…

Materials Science · Physics 2022-03-18 Ravindra Shinde , Sharma S. R. K. C. Yamijala , Bryan M. Wong

It is necessary to employ quasi-particle calculations to correct band gap problems in LDA. As an expedient way for the reliable but massive GWA, Quasi-Particle-LDA (QPLDA) is proposed by several authors, where the total computational cost…

Computational Physics · Physics 2012-10-23 Akihito Kikuchi

The errors arising in ab initio density functional theory studies of semiconductor point defects using the supercell approximation are analyzed. It is demonstrated that a) the leading finite size errors are inverse linear and inverse cubic…

Other Condensed Matter · Physics 2009-11-11 C. W. M. Castleton , A. Hoglund , S. Mirbt

In previous papers we showed that a division of the f-shell into two subsystems gives a better understanding of cohesive properties as well the general behavior of lanthanide systems. In this paper we present numerical computations using…

Strongly Correlated Electrons · Physics 2007-05-23 U. Lundin , I. Sandalov , O. Eriksson

The GW self-energy method has long been recognized as the gold standard for quasiparticle (QP) calculations of solids in spite of the fact that the neglect of vertex corrections and the use of a DFT starting point lacks rigorous…

Materials Science · Physics 2017-12-06 Per S. Schmidt , Christopher E. Patrick , Kristian S. Thygesen

In this letter we present band gaps of II-VI semiconductors, calculated by the full potential linearized augmented plane wave (FP-LAPW) method with the modified Becke-Johnson (mBJ) potential. The accuracy of the calculated results is…

Strongly Correlated Electrons · Physics 2012-01-05 Imad Khan , Iftikhar Ahmad , H. A. Rahnamaye Aliabad , M. Maqbool

We present an improved method to calculate defect formation energies that overcomes the band-gap problem of Kohn-Sham density-functional theory (DFT) and reduces the self-interaction error of the local-density approximation (LDA) to DFT. We…

Materials Science · Physics 2009-11-13 Patrick Rinke , Anderson Janotti , Matthias Scheffler , Chris G. Van de Walle

We discuss a general approach to a realistic theory of the electronic structure in materials containing correlated d- or f- electrons. The main feature of this approach is the taking into account the energy dependence of the electron…

Strongly Correlated Electrons · Physics 2009-10-30 A. I. Lichtenstein , M. I. Katsnelson