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Many-body perturbation theory in the GW approximation is a useful method for describing electronic properties associated with charged excitations. A hierarchy of GW methods exists, starting from non-self-consistent G0W0, through partial…

We report an exhaustive study of the performance of different variants of Green function methods for the spherium model in which two electrons are confined to the surface of a sphere and interact via a genuine long-range Coulomb operator.…

Chemical Physics · Physics 2018-07-23 Pierre-François Loos , Pina Romaniello , J. A. Berger

We apply the renormalized singles with correlation (RSc) Green's function in the $GW$ approximation to calculate accurate quasiparticle (QP) energies and orbitals. The RSc Green's function includes all orders of singles contributions from…

Chemical Physics · Physics 2022-10-19 Jiachen Li , Weitao Yang

We apply the quasiparticle self-consistent GW method (QSGW) to slab models of ionic materials, LiF, KF, NaCl, MgO, and CaO, under electric field. Then we obtain the optical dielectric constants E(Slab) from the differences of the slopes of…

Strongly Correlated Electrons · Physics 2020-05-20 Hirofumi Sakakibara , Takao Kotani , Masao Obata , Tatsuki Oda

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

The many-body $GW$ formalism, for the calculation of ionization potentials or electronic affinities, relies on the frequency-dependent dielectric function built from the electronic degrees of freedom. Considering the case of water as a…

Materials Science · Physics 2024-09-04 Ivan Duchemin , David Amblard , Xavier Blase

We introduce the $\Sigma^{\text{BSE}}@L^{\text{BSE}}$ self-energy in the quasi-particle self-consistent $GW$ (qs$GW$) framework (qs$\Sigma^{\text{BSE}}@L^{\text{BSE}}$). Here, $L$ is the two-particle response function which we calculate by…

Chemical Physics · Physics 2025-02-13 Arno Förster

In past decades the scientific community has been looking for a reliable first-principles method to predict the electronic structure of solids with high accuracy. Here we present an approach which we call the quasiparticle self-consistent…

Materials Science · Physics 2009-11-11 M. van Schilfgaarde , T. Kotani , S. Faleev

Using quasiparticle self-consistent $GW$ calculations, we re-examined the electronic structure of Sr$_2$RuO$_4$ and SrRuO$_3$. Our calculations show that the correlation effects beyond the conventional LDA (local density approximation) and…

Strongly Correlated Electrons · Physics 2016-02-16 Hyeonsang Ryee , Seung Woo Jang , Hiori Kino , Takao Kotani , Myung Joon Han

We introduce a first principles approach to determine the strength of the electronic correlations based on the fully self consistent GW approximation. The approach provides a seamless interface with dynamical mean field theory, and gives…

Strongly Correlated Electrons · Physics 2015-05-18 A. Kutepov , K. Haule , S. Y. Savrasov , G. Kotliar

The $GW$ approximation has been recently gaining popularity among the method for simulating molecular core-level X-ray photoemission spectra. Traditionally, $GW$ core-level binding energies have been computed using either the cc-pV$n$Z or…

Chemical Physics · Physics 2022-07-13 Daniel Mejia-Rodriguez , Alexander Kunitsa , Edoardo Aprà , Niranjan Govind

For the computational prediction of core electron binding energies in solids, two distinct kinds of modelling strategies have been pursued: the $\Delta$-Self-Consistent-Field method based on density functional theory (DFT), and the GW…

Materials Science · Physics 2023-06-12 Juhan Matthias Kahk , Johannes Lischner

We propose a novel approach to quasiparticle GW calculations which does not require the computation of unoccupied electronic states. In our approach the screened Coulomb interaction is evaluated by solving self-consistent linear-response…

Materials Science · Physics 2015-05-14 Feliciano Giustino , Marvin L. Cohen , Steven G. Louie

We derive a general form of eigenvalue self-consistency for $GW_{0}$ in the time domain and use it to obtain a simplified postprocessing eigenvalue self-consistency, which we label $\bar{\Delta}GW_{0}$. The method costs the same as a…

Chemical Physics · Physics 2018-11-14 Vojtěch Vlček , Roi Baer , Eran Rabani , Daniel Neuhauser

Accurate predictions of charge excitation energies of molecules in the disordered condensed phase are central to the chemical reactivity, stability, and optoelectronic properties of molecules and critically depend on the specific…

Chemical Physics · Physics 2021-08-25 Guorong Weng , Vojtech Vlcek

We present a many-body $GW$ formalism for quantum subsystems embedded in discrete polarizable environments containing up to several hundred thousand atoms described at a fully ab initio random phase approximation level. Our approach is…

Chemical Physics · Physics 2024-01-26 David Amblard , Xavier Blase , Ivan Duchemin

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

The GW approximation of many-body perturbation theory is an accurate method for computing electron addition and removal energies of molecules and solids. In a canonical implementation, however, its computational cost is $O(N^4)$ in the…

Chemical Physics · Physics 2021-04-21 Jan Wilhelm , Dorothea Golze , Leopold Talirz , Jürg Hutter , Carlo A. Pignedoli

Using the simple (symmetric) Hubbard dimer, we analyze some important features of the $GW$ approximation. We show that the problem of the existence of multiple quasiparticle solutions in the (perturbative) one-shot $GW$ method and its…

Chemical Physics · Physics 2021-10-12 Stefano Di Sabatino , Pierre-François Loos , Pina Romaniello

We present a code implementing the linearized self-consistent quasiparticle GW method (scQPGW) in the LAPW basis. Our approach is based on the linearization of the self-energy around zero frequency which differs it from the existing…

Materials Science · Physics 2017-09-13 Andrey L. Kutepov , Viktor S. Oudovenko , Gabriel Kotliar