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We consider the elementary radiative-correction terms in loop quantum gravity. These are a two-vertex "elementary bubble" and a five-vertex "ball"; they correspond to the one-loop self-energy and the one-loop vertex correction of ordinary…

General Relativity and Quantum Cosmology · Physics 2009-11-18 Claudio Perini , Carlo Rovelli , Simone Speziale

We demonstrate that to calculate the self-energy of a heavy quark in the heavy quark limit (or the heavy fermion limit in what is called the Baryon Chiral Perturbation Theory), the use of standard dimensional regularization provides only…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. A. Ivanov , T. Mizutani

The alignment of the frontier orbital energies of an adsorbed molecule with the substrate Fermi level at metal-organic interfaces is a fundamental observable of significant practical importance in nanoscience and beyond. Typical density…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 Zhenfei Liu , David A. Egger , Sivan Refaely-Abramson , Leeor Kronik , Jeffrey B. Neaton

Diagrammatic perturbation theory is a powerful tool for the investigation of interacting many-body systems, the self-energy operator $\Sigma$ encoding all the variety of scattering processes. In the simplest scenario of correlated electrons…

Strongly Correlated Electrons · Physics 2020-07-22 Y. Pavlyukh , G. Stefanucci , R. van Leeuwen

We calculate the one-loop electron self-energy correction of order $\alpha\,(Z\,\alpha)^5$ to the bound electron $g$ factor. Our result is in agreement with the extrapolated numerical value and paves the way for the calculation of the…

Atomic Physics · Physics 2017-09-13 Krzysztof Pachucki , Mariusz Puchalski

During the last decade, ab initio methods to calculate electronic structure of materials based on hybrid functionals are increasingly becoming widely popular. In this Letter, we show that, in the case of small gap transition metal oxides,…

Strongly Correlated Electrons · Physics 2013-06-21 John E. Coulter , Efstratios Manousakis , Adam Gali

The hyperfine structure (hfs) and the g factor of a bound electron are caused by external magnetic fields. For the hfs, the magnetic field is due to the nuclear spin. A uniform-in-space and constant-in-time magnetic field is used to probe…

Atomic Physics · Physics 2015-05-14 Vladimir A. Yerokhin , Ulrich D. Jentschura

The two-loop self-energy correction to the bound-electron $g$-factor in hydrogenlike ions is investigated, taking into account the electron-nucleus interaction exactly. This all-order calculation is required to improve the total theoretical…

Atomic Physics · Physics 2025-05-01 Bastian Sikora , Vladimir A. Yerokhin , Christoph H. Keitel , Zoltán Harman

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

We present accurate many-body results of the electronic densities in several solid materials, including Si, NaCl, and Cu. These results are obtained using the ab initio auxiliary-field quantum Monte Carlo (AFQMC) method working in a…

Materials Science · Physics 2021-02-24 Siyuan Chen , Mario Motta , Fengjie Ma , Shiwei Zhang

Using a novel self-consistent implementation of Hedin's GW perturbation theory we calculate space and energy dependent self-energy for a number of materials. We find it to be local in real space and rapidly convergent on second-- to third--…

Strongly Correlated Electrons · Physics 2012-04-11 N. E. Zein , S. Y. Savrasov , G. Kotliar

The self-screening error in electronic structure theory is the part of the self-interaction error that would remain within the $GW$ approximation if the exact dynamically screened Coulomb interaction, $W$, were used, causing each electron…

Materials Science · Physics 2021-01-15 Jack Wetherell , Matthew Hodgson , Rex Godby

Peierls gap is analyzed in case of a two-dimensional lattice under the influence of a magnetic field, in a tight-binding approximation. By using a non-analytic class of potentials, such as the Kohmoto potential in the Harper model,…

Mesoscale and Nanoscale Physics · Physics 2009-06-19 O. Borchin

The self-energy corrections to the hyperfine splitting is evaluated for higher excited states in hydrogenlike ions, using an expansion in the binding parameter Zalpha, where Z is the nuclear charge number, and alpha is the fine-structure…

Atomic Physics · Physics 2012-06-29 B. J. Wundt , U. D. Jentschura

The self-screening error in the random-phase approximation (RPA) and the $GW$ approximation (GWA) is a well-known issue and has received attention in recent years with several methods for a correction being proposed. We here apply two of…

Strongly Correlated Electrons · Physics 2023-03-15 Viktor Christiansson , Ferdi Aryasetiawan

We analyze a data set comprising 370 GW band structures composed of 61716 quasiparticle (QP) energies of two-dimensional (2D) materials spanning 14 crystal structures and 52 elements. The data results from PAW plane wave based one-shot…

Materials Science · Physics 2021-01-05 Asbjørn Rasmussen , Thorsten Deilmann , Kristian S. Thygesen

We report results of our infrared and optical spectroscopy study of a half-metallic ferromagnet Mn$_5$Ge$_3$. This compound is currently being investigated as a potential injector of spin polarized currents into germanium. Infrared…

Strongly Correlated Electrons · Physics 2015-05-13 S. V. Dordevic , N. Stojilovic , L. W. Kohlman , Rongwei Hu , C. Petrovic

The GW approximation for the electronic self-energy is an important tool for the quantitative prediction of excited states in solids, but its mathematical exploration is hampered by the fact that it must, in general, be evaluated…

Materials Science · Physics 2013-02-27 Arno Schindlmayr

We calculate the self-energy of two-dimensional fermions that are coupled to transverse gauge fields, taking two-loop corrections into account. Given a bare gauge field propagator that diverges for small momentum transfers q as 1 / q^{eta},…

Strongly Correlated Electrons · Physics 2015-06-25 Peter Kopietz

We employ Wiegmann's solution of the Anderson impurity model in order to compute the compressibility of electron gas. We have found that there is a pair of neighbor levels separated by anomalously large energy $\propto L^{-1/3}$, where $L$…

Condensed Matter · Physics 2007-05-23 Daniel L. Miller