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The binding energy and the corresponding wave function of excitons in GaAs-based finite square quantum wells (QWs) are calculated by the direct numerical solution of the three-dimensional Schroedinger equation. The precise results for the…

We have proposed a method for correcting the Kohn-Sham eigen energies in the density functional theory (DFT) based on the Koopmans theorem using Wannier functions. The method provides a general approach applicable for molecules and solids…

Computational Physics · Physics 2015-03-02 Jie Ma , Lin-Wang Wang

The $GW$ approximation is a widely used method for computing electron addition and removal energies of molecules and solids. The computational effort of conventional $GW$ algorithms increases as $O(N^4)$ with the system size $N$, hindering…

Chemical Physics · Physics 2024-09-12 Mia Schambeck , Dorothea Golze , Jan Wilhelm

By recasting the non-linear frequency-dependent $GW$ quasiparticle equation into a linear eigenvalue problem, we explain the appearance of multiple solutions and unphysical discontinuities in various physical quantities computed within the…

Chemical Physics · Physics 2022-06-16 Enzo Monino , Pierre-François Loos

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 give a detailed presentation of our recent scheme to include correlation effects in molecular transport calculations using the GW approximation within the non-equilibrium Keldysh formalism. We restrict the GW self-energy to the central…

Materials Science · Physics 2009-11-13 Kristian S. Thygesen , Angel Rubio

We explore the combination of the extended dynamical mean field theory (EDMFT) with the GW approximation (GWA); the former sums the local contributions to the self-energies to infinite order in closed form and the latter handles the…

Strongly Correlated Electrons · Physics 2009-11-10 Ping Sun , Gabriel Kotliar

The GW approximation is a cornerstone of many-body perturbation theory for computing single-particle excitations, yet it fundamentally breaks down in strongly correlated systems where the single-reference picture fails. To overcome this…

Chemical Physics · Physics 2026-04-20 Yuqi Wang , Wei-Hai Fang , Zhendong Li

Ab initio GW calculations are a standard method for computing the spectroscopic properties of many materials. The most computationally expensive part in conventional implementations of the method is the generation and summation over the…

Materials Science · Physics 2015-06-11 Jack Deslippe , Georgy Samsonidze , Manish Jain , Marvin L. Cohen , Steven G. Louie

We present quasiparticle (QP) energies from fully self-consistent $GW$ (sc$GW$) calculations for a set of prototypical semiconductors and insulators within the framework of the projector-augmented wave methodology. To obtain converged…

Materials Science · Physics 2018-10-31 Manuel Grumet , Peitao Liu , Merzuk Kaltak , Jiří Klimeš , Georg Kresse

The Hubbard model is implemented in real-space Green's function calculations of x-ray spectra using an effective self-energy adapted from the LSDA+U method of Anisimov et al. This self-energy consists of an energy-dependent many-pole…

Strongly Correlated Electrons · Physics 2011-07-12 Towfiq Ahmed , J. J. Kas , J. J. Rehr

We present the formalism and implementation of quasi-particle self-consistent GW (qsGW) and eigenvalue only quasi-particle self-consistent GW (evGW) adapted to standard quantum chemistry packages. Our implementation is benchmarked against…

Chemical Physics · Physics 2024-04-10 F. Kaplan , M. E. Harding , C. Seiler , F. Weigend , F. Evers , M. J. van Setten

We discuss the analytic and diagrammatic structure of ionization potential (IP) and electron affinity (EA) equation-of-motion coupled-cluster (EOM-CC) theory, in order to put it on equal footing with the prevalent $GW$ approximation. The…

Chemical Physics · Physics 2019-04-16 Malte F. Lange , Timothy C. Berkelbach

We present algorithmic and implementation details for the fully self-consistent finite-temperature $GW$ method in Gaussian Bloch orbitals for solids. Our implementation is based on the finite-temperature Green's function formalism in which…

Materials Science · Physics 2022-12-14 Chia-Nan Yeh , Sergei Iskakov , Dominika Zgid , Emanuel Gull

An approach is presented which allows a self-consistent description of the fragmentation of single-particle strength for nucleons in finite nuclei employing the Greens function formalism. The self-energy to be considered in the Dyson…

Nuclear Theory · Physics 2009-10-22 H. Müther , L. D. Skouras

We present a diagrammatic approach to construct self-energy approximations within many-body perturbation theory with positive spectral properties. The method cures the problem of negative spectral functions which arises from a…

Other Condensed Matter · Physics 2015-06-22 G. Stefanucci , Y. Pavlyukh , A. -M. Uimonen , R. van Leeuwen

We present a detailed account of the GW space-time method. The method increases the size of systems whose electronic structure can be studied with a computational implementation of Hedin's GW approximation. At the heart of the method is a…

Condensed Matter · Physics 2009-10-31 M. M. Rieger , L. Steinbeck , I. D. White , H. N. Rojas , R. W. Godby

We implemented combination of DMFT and $GW$ in its fully self-consistent way, one shot $GW$ approximation, and quasiparticle self-consistent scheme, and studied how well these combined methods perform on H$_2$ molecule as compared to more…

Strongly Correlated Electrons · Physics 2017-04-12 Juho Lee , Kristjan Haule

We present a formulation of relativistic self-consistent $GW$ for solids based on the exact two-component formalism with one-electron approximation (X2C1e) and non-relativistic Coulomb interactions. Our theory allows us to study scalar…

Strongly Correlated Electrons · Physics 2022-08-31 Chia-Nan Yeh , Avijit Shee , Qiming Sun , Emanuel Gull , Dominika Zgid

We derive analytical expressions for chemical potentials within the random phase approximation (RPA), equivalently the $GW$ energy functional evaluated using non interacting Green's functions ($G_s$). The chemical potential is obtained…

Chemical Physics · Physics 2026-03-20 Jiachen Li , Weitao Yang