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Computing the $GW$ quasiparticle bandstructure and Bethe-Salpeter Equation (BSE) absorption spectra for materials with spin-orbit coupling has commonly been done by treating $GW$ corrections and spin-orbit coupling as separate perturbations…

Using seven semiconductors/insulators with band gaps covering the range from 1 eV to 10 eV we systematically explore the performance of two different variants of self-consistency associated with famous Hedin's system of equations: the full…

Materials Science · Physics 2022-01-20 Andrey L. Kutepov

We have developed the quasiparticle self-consistent GW (QSGW) method based on a recently developed mixed basis all-electron full-potential method (the PMT method), which uses the augmented plane waves (APWs) and the highly localized…

Materials Science · Physics 2014-08-18 Takao Kotani

Precise and accurate predictions of the two-dimensional (2D) material's fundamental gap are crucial for next-generation flexible electronic and photonic devices. We, therefore, evaluated the predictivity of the GW approach in its several…

Materials Science · Physics 2025-09-25 Miroslav Kolos , František Karlický

We present improved band structure calculations of the Mg-IV-N$_2$ compounds in the quasiparticle self-consistent $GW$ approximation. Compared to previous calculations (Phys. Rev. B 94, 125201 (2016)) we here include the effects of the…

Materials Science · Physics 2019-07-24 Sai Lyu , Walter R. L. Lambrecht

Two self-consistent schemes involving Hedin's $GW$ approximation are studied for a set of sixteen different atoms and small molecules. We compare results from the fully self-consistent $GW$ approximation (SC$GW$) and the quasi-particle…

Materials Science · Physics 2015-06-19 Peter Koval , Dietrich Foerster , Daniel Sánchez-Portal

The $GW$ approximation to many-body perturbation theory is a reliable tool for describing charged electronic excitations, and it has been successfully applied to a wide range of extended systems for several decades using a plane-wave basis.…

Materials Science · Physics 2019-10-23 Young-Moo Byun , Serdar Öğüt

The GW method, which can describe accurately electronic excitations, is one of the most widely used ab initio electronic structure technique and allows the physics of both molecular and condensed phase materials to be studied. However, the…

The $GW$ method for calculating quasi-particle energies of solids commonly begin from a DFT Hamiltonian and Kohn-Sham orbitals in a plane wave basis. Screening of the coulomb interaction is implemented using the inverse dielectric function…

Materials Science · Physics 2026-05-20 Charles H. Patterson

We have recently implemented a new version of the quasiparticle self-consistent GW (QSGW) method in the ecalj package released at http://github.com/tkotani/ecalj. Since the new version of the ecalj is numerically stable and accurate…

Materials Science · Physics 2016-04-20 Daiki Deguchi , Kazunori Sato , Hiori Kino , Takao Kotani

We present a new all-electron, augmented-wave implementation of the GW approximation using eigenfunctions generated by a recent variant of the full-potential LMTO method. The dynamically screened Coulomb interaction W is expanded in a mixed…

Materials Science · Physics 2009-11-07 Takao Kotani , Mark van Schilfgaarde

We present a machine learning (ML) framework that predicts $G_0W_0$ quasiparticle energies across molecular dynamics (MD) trajectories with high accuracy and efficiency. Using only DFT-derived mean-field eigenvalues and exchange-correlation…

Materials Science · Physics 2025-05-06 Ragab. A. Abdelghany , Chih-En Hsu , Hung-Chung Hsueh , Yuan-Hong Tsai , Ming-Chiang Chung

We present calculations of the quasiparticle energies and band gaps of graphene nanoribbons (GNRs) carried out using a first-principles many-electron Green's function approach within the GW approximation. Because of the quasi-one-dimension…

Mesoscale and Nanoscale Physics · Physics 2007-11-11 Li Yang , Cheol-Hwan Park , Young-Woo Son , Marvin L. Cohen , Steven G. Louie

We present and benchmark a self-energy approach for quasiparticle energy calculations that goes beyond Hedin's $GW$ approximation by adding the full second-order self-energy (FSOS-$W$) contribution. The FSOS-$W$ diagram involves two…

Materials Science · Physics 2021-05-18 Yanyong Wang , Patrick Rinke , Xinguo Ren

Two-dimensional (2D) materials have recently been the focus of extensive research. By following a similar trend as graphene, other 2D materials including transition metal dichalcogenides (MX2) and metal mono-chalcogenides (MX) show great…

Verification and validation of electronic structure codes are essential to ensure reliable and reproducible results in computational materials science. While density functional theory has been extensively benchmarked, systematic assessments…

Materials Science · Physics 2026-02-10 M. Bonacci , D. A. Leon , N. Spallanzani , E. Molinari , D. Varsano , A. Ferretti , C. Cardoso

Band structures for solid rare gases (Ne, Ar) have been calculated using the GW approximation. All electron and pseudopotential ab initio calculations were performed using Gaussian orbital basis sets and the dependence of particle-hole gaps…

Other Condensed Matter · Physics 2016-08-16 S. Galamić-Mulaomerović , C. H. Patterson

On the basis of the self-consistent calculation scheme for the electron self-energy with the use of the three-point vertex function always satisfying the Ward identity, we find that the obtained quasiparticle dispersion in the normal state…

Superconductivity · Physics 2016-01-12 Yasutami Takada

We describe an all-electron $G_0W_0$ implementation for periodic systems with $k$-point sampling implemented in a crystalline Gaussian basis. Our full-frequency $G_0W_0$ method relies on efficient Gaussian density fitting integrals and…

Materials Science · Physics 2021-04-08 Tianyu Zhu , Garnet Kin-Lic Chan

The GW approximation represents the state-of-the-art ab-initio method for computing excited-state properties. Its execution requires control over a larger number of (often interdependent) parameters, and therefore its application in…