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We resum the ladder diagrams for the calculation of the energy density $\cal{E}$ of a spin 1/2 fermion many-body system in terms of arbitrary vacuum two-body scattering amplitudes. The partial-wave decomposition of the in-medium two-body…

Nuclear Theory · Physics 2022-01-19 J. M. Alarcón , J. A. Oller

The one-loop self-energy correction to the hyperfine structure splitting of the 1s and 2s states of hydrogenlike ions is calculated both for the point and finite nucleus. The results of the calculation are combined with other corrections to…

Atomic Physics · Physics 2009-10-30 V. A. Yerokhin , V. M. Shabaev , A. N. Artemyev

Charge density functional plus $U$ calculations are carried out to examine the validity of molecular $J_\text{eff}$=1/2 and 3/2 state in lacunar spinel GaM$_4$X$_8$ (M = Nb, Mo, Ta, and W). With LDA (spin-unpolarized local density…

Strongly Correlated Electrons · Physics 2019-05-01 Hyunggeun Lee , Min Yong Jeong , Jae-Hoon Sim , Hongkee Yoon , Siheon Ryee , Myung Joon Han

The bandgap and band bowing parameter of semiconductor alloys are calculated with a fast and realistic approach. The method is a dielectric scaling approximation that is based on a scissor approximation. It adds an energy shift to the…

Materials Science · Physics 2010-04-08 Titus Sandu , Radu I. Iftimie

A novel approach to investigation of correlation effects in the electronic structure of magnetic crystals which takes into account a frequency dependence of the self energy (so called ``LDA++ approach'') is developed. The fluctuation…

Strongly Correlated Electrons · Physics 2009-10-31 M. I. Katsnelson , A. I. Lichtenstein

Regularized linear discriminant analysis (RLDA) is a widely used tool for classification and dimensionality reduction, but its performance in high-dimensional scenarios is inconsistent. Existing theoretical analyses of RLDA often lack clear…

Machine Learning · Statistics 2025-07-23 Yonghan Zhang , Zhangni Pu , Lu Yan , Jiang Hu

Vacuum polarisation (VP) and electron self energy (SE) are implemented and evaluated as quantum electrodynamic (QED) corrections in a (quasi-relativistic) two-component zeroth order regular approximation (ZORA) framework. For VP, the…

A new method is presented for calculation of the shell correction with the inclusion of the continuum part of the spectrum. The smoothing function used has a finite energy range in contrast to the Gaussian shape of the Strutinski method.…

Nuclear Theory · Physics 2014-11-20 P. Salamon , A. T. Kruppa , T. Vertse

We present the first principles results of point defect energetics in silicon calculated using the LDA+U method: a Hubbard type on-site interaction added to the local density approximation (LDA). The on-site Coulomb and exchange parameters…

Materials Science · Physics 2007-05-23 Panchapakesan Ramanarayanan , Renat F. Sabirianov , Kyeongjae Cho

We present ab initio calculations of one-electron quantum electrodynamical corrections to the second-order Zeeman splitting for the $1s_{1/2}$, $2s_{1/2}$, and $2p_{1/2}$ states in highly charged hydrogen-like ions. The self-energy…

We compare the quasiparticle band structure for a model insulator obtained from the fluctuation exchange approximation (FEA) with the eigenvalues of the corresponding density functional theory (DFT) and local density approximation (LDA).…

Strongly Correlated Electrons · Physics 2009-10-31 D. W. Hess , J. W. Serene

Accurately calculating band gaps for given crystal structures is highly desirable. However, conventional first-principles calculations based on density functional theory (DFT) within the local density approximation (LDA) fail to predict…

Materials Science · Physics 2025-07-28 Shota Tankano , Takao Kotani , Masao Obata , Kazunori Sato , Harutaka Saito , Tatsuki Oda

We have implemented the so called GW approximation (GWA) based on an all-electron full-potential Projector Augmented Wave (PAW) method. For the screening of the Coulomb interaction W we tested three different plasmon-pole dielectric…

Materials Science · Physics 2007-05-23 B. Arnaud , M. Alouani

We systematically investigate the topological band structures of half-Heusler compounds using first-principles calculations. The modified Becke-Johnson exchange potential together with local density approximation for the correlation…

Materials Science · Physics 2011-01-28 Wanxiang Feng , Di Xiao , Ying Zhang , Yugui Yao

In this work we explore the fidelity of numerical approximations to the analytic spectra of hyperbolic partial differential equation systems with variable coefficients. We are particularly interested in the ability of discrete methods to…

Numerical Analysis · Mathematics 2025-08-12 Brittany A. Erickson

We describe procedures to obtain the electronic structure of disordered systems using either tight binding like models or quite directly from ab inito density functional band structure calculations. The band structure is calculated using…

Materials Science · Physics 2011-09-20 M. W. Haverkort , I. S. Elfimov , G. A. Sawatzky

The challenge of finding an absolute reference energy from first-principles simulations to realigning semiconductor's valence band-top and conduction band-bottom, a theoretical methodology is proposed based on plane-wave calculations as…

Materials Science · Physics 2018-12-12 Tilak Das , Xavier Rocquefelte , Stèphane Jobic

The wurtzite (wz) structure of CdS is analyzed using density functional theory within the generalized gradient approximation (GGA) and Hubbard correction (GGA+U). The total energy convergence evaluation is carried out concerning energy…

Materials Science · Physics 2022-06-22 Ankan Biswas , S. R. Meher , Deepak K. Kaushik

Currently, self-induced InAlN core-shell nanorods enjoy an advanced stage of accumulation of experimental data from their growth and characterization as well as a comprehensive understanding of their formation mechanism by the ab initio…

We study the effect of semicore states on the self-energy corrections and electronic energy gaps of silicon, germanium and GaAs. Self-energy effects are computed within the GW approach, and electronic states are expanded in a plane-wave…

Materials Science · Physics 2009-11-10 Murilo L. Tiago , Sohrab Ismail-Beigi , Steven G. Louie