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Calculations of the one-hole spectral function of 16O for small missing energies are reviewed. The self-consistent Green's function approach is employed together with the Faddeev equations technique in order to study the coupling of both…

Nuclear Theory · Physics 2016-09-08 C. Barbieri , W. H. Dickhoff

We present an approach for GW calculations of quasiparticle energies with quasi-quadratic scaling by approximating high-energy contributions to the Green's function in its Lehmann representation with effective stochastic vectors. The method…

Materials Science · Physics 2023-12-07 Aaron R. Altman , Sudipta Kundu , Felipe H. da Jornada

In this paper, we investigate the electron self-energy and effective mass in a single heterostructure using Green-function method. Numerical calculations of the electron self-energy and effective mass for GaAs/AlAs heterostructure are…

Materials Science · Physics 2009-11-07 Xiu-Kun Hua , Yin-Zhong Wu , Zhen-Ya Li

Fully numerical mesh solutions of 2D and 3D quantum equations of Schroedinger and Hartree-Fock type allow us to work with wavefunctions which possess a very flexible geometry. This flexibility is especially important for calculations of…

Atomic Physics · Physics 2007-05-23 Mikhail V. Ivanov

We present an analysis of the transient electronic and transport properties of a nanojunction in the presence of electron-electron and electron-phonon interactions. We introduce a novel numerical approach which allows for an efficient…

Mesoscale and Nanoscale Physics · Physics 2018-09-13 R. Seoane Souto , R. Avriller , A. Levy Yeyati , A. Martín-Rodero

We present a nontrivial model system of interacting electrons that can be solved analytically in the GW approximation. We obtain the particle number from the GW Green's function strictly analytically, and prove that there is a genuine…

Materials Science · Physics 2008-02-03 Arno Schindlmayr

The semiconducting two-dimensional transition metal dichalcogenides MX$_{2}$ show an abundance of one-dimensional metallic edges and grain boundaries. Standard techniques for calculating edge states typically model nanoribbons, and require…

Mesoscale and Nanoscale Physics · Physics 2016-06-10 Mojtaba Farmanbar , Taher Amlaki , Geert Brocks

Accurately modeling the electronic structure of materials is a persistent challenge to high-throughput screening. A promising means of balancing accuracy against computational cost are non-self-consistent calculations with hybrid…

Materials Science · Physics 2020-05-04 Jonathan M. Skelton , David S. D. Gunn , Sebastian Metz , Stephen C. Parker

Transition-metal centers are the active sites for many biological and inorganic chemical reactions. Notwithstanding this central importance, density-functional theory calculations based on generalized-gradient approximations often fail to…

Soft Condensed Matter · Physics 2009-11-11 Heather J. Kulik , Matteo Cococcioni , Damian A. Scherlis , Nicola Marzari

We discuss a general approach to a realistic theory of the electronic structure in materials containing correlated d- or f- electrons. The main feature of this approach is the taking into account the energy dependence of the electron…

Strongly Correlated Electrons · Physics 2009-10-30 A. I. Lichtenstein , M. I. Katsnelson

A method to implement the many-body Green function formalism in the GW approximation for infinite non periodic systems is presented. It is suitable to treat systems of known ``asymptotic'' properties which enter as boundary conditions,…

Materials Science · Physics 2008-11-24 G. Fratesi , G. P. Brivio , L. G. Molinari

The method of many-body Green's functions is developed for arbitrary systems of electrons and nuclei starting from the full (beyond Born-Oppenheimer) Hamiltonian of Coulomb interactions and kinetic energies. The theory presented here…

Other Condensed Matter · Physics 2020-06-23 Ville J. Härkönen , Robert van Leeuwen , E. K. U. Gross

A review of electronic dynamics of single-impurity and many-impurity Anderson models is contained in this report. Those models are used widely for many of the applications in diverse fields of interest, such as surface physics, theory of…

Strongly Correlated Electrons · Physics 2015-03-04 A. L. Kuzemsky

We study the single-particle Green function for a two-dimensional superconductor in a regime of strong classical phase fluctuations. Although the developed approach is valid for any symmetry, we concentrate on d-wave superconductors. We…

Superconductivity · Physics 2010-04-09 M. Khodas , A. M. Tsvelik

We generalize the methods used in the theory of correlation dynamics and establish a set of equations of motion for many-body correlation green's functions in the non-relativistic case. These non-linear and coupled equations of motion…

Nuclear Theory · Physics 2015-06-26 Shun-Jin Wang , Wei Zuo , Wolfgang Cassing

We introduce a spectral density functional theory which can be used to compute energetics and spectra of real strongly--correlated materials using methods, algorithms and computer programs of the electronic structure theory of solids. The…

Strongly Correlated Electrons · Physics 2009-11-10 S. Y. Savrasov , G. Kotliar

We demonstrate an efficient nonequilibrium Green's function transport calculation procedure based on the real-space finite-difference method. The direct inversion of matrices for obtaining the self-energy terms of electrodes is…

Materials Science · Physics 2024-01-09 Tomoya Ono , Yoshiyuki Egami , Kikuji Hirose

Calculations of ground-state and excited-state properties of materials have been one of the major goals of condensed matter physics. Ground-state properties of solids have been extensively investigated for several decades within the…

Strongly Correlated Electrons · Physics 2009-10-30 F. Aryasetiawan , O. Gunnarsson

We describe a method and its implementation for calculating electronic structure and electron transport without approximating the structure using periodic super-cells. This effectively removes spurious periodic images and interference…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Nick Papior , Gaetano Calogero , Susanne Leitherer , Mads Brandbyge

We apply a recently developed quasiparticle self-consistent $GW$ method (QSGW) to Gd, Er, EuN, GdN, ErAs, YbN and GdAs. We show that QSGW combines advantages separately found in conventional $GW$ and LDA+$U$ theory, in a simple and fully…

Materials Science · Physics 2007-11-10 Athanasios N. Chantis , Mark van Schilfgaarde , Takao Kotani
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