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A reformulation of site-occupation embedding theory (SOET) in terms of Green's functions is presented. Referred to as site-occupation--Green's function embedding theory (SOGET), this novel extension of density-functional theory for model…

Strongly Correlated Electrons · Physics 2019-11-07 Laurent Mazouin , Matthieu Saubanère , Emmanuel Fromager

We present a mapping of correlated multi-impurity Anderson models to a cluster model coupled to a number of effective conduction bands capturing its essential low-energy physics. The major ingredient is the complex single-particle self…

Strongly Correlated Electrons · Physics 2020-12-09 Fabian Eickhoff , Frithjof B. Anders

Density matrix embedding theory (Phys. Rev. Lett. 109, 186404 (2012)) and density embedding theory ((Phys. Rev. B 89, 035140 (2014)) have recently been introduced for model lattice Hamiltonians and molecular systems. In the present work,…

Chemical Physics · Physics 2016-11-25 Ireneusz W. Bulik , Weibing Chen , Gustavo E. Scuseria

We present a new theoretical approach, unrestricted self-energy embedding theory (USEET) that is a Green's function embedding theory used to study problems in which an open, embedded system exchanges electrons with the environment. USEET…

Chemical Physics · Physics 2018-09-13 Tran Nguyen Lan , Sergei Iskakov , Dominika Zgid

First-principles descriptions of correlated quantum materials require a simultaneous treatment of strong local many-body effects and nonlocal dynamical screening. We present an efficient fully self-consistent implementation of $GW$+EDMFT…

Strongly Correlated Electrons · Physics 2026-03-16 Chia-Nan Yeh , Francesco Petocchi , Alexander Hampel , Philipp Werner , Olivier Parcollet , Antoine Georges , Miguel Morales

We review the recent progress in the theory of inhomogeneous superconductors. It was shown that Gor'kov's self-consistency equation needs a pairing constraint derived from the Anomalous Green's function. The Bogoliubov-de Gennes equations…

Superconductivity · Physics 2007-05-23 Yong-Jihn Kim

Quantum embedding methods, such as dynamical mean-field theory (DMFT), provide a powerful framework for investigating strongly correlated materials. A central computational bottleneck in DMFT is in solving the Anderson impurity model (AIM),…

We present a Green's function formulation of the quantum defect embedding theory (QDET) where a double counting scheme is rigorously derived within the $G_0 W_0$ approximation. We then show the robustness of our methodology by applying the…

Quantum Physics · Physics 2022-06-07 Nan Sheng , Christian Vorwerk , Marco Govoni , Giulia Galli

The accurate determination of the electronic structure of strongly correlated materials using first principle methods is of paramount importance in condensed matter physics, computational chemistry, and material science. However, due to the…

We demonstrate that coupled-cluster singles-and-doubles Green's function (GFCCSD) method is a powerful and prominent tool drawing the electronic band structures and the total energies, which many theoretical techniques struggle to…

Materials Science · Physics 2018-05-29 Yoritaka Furukawa , Taichi Kosugi , Hirofumi Nishi , Yu-ichiro Matsushita

A new theoretical framework for the nonequilibrium Green's function (NEGF) scheme is presented to account for the discrete nature of impurities doped in semiconductor nanostructures. The short-range part of impurity potential is included as…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Nobuyuki Sano

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

A single impurity problem is investigated for multiband s-wave superconductors with different sign order parameters (+-s-wave superconductors) suggested in Fe-pnictide superconductors. Not only intraband but also interband scattering is…

Superconductivity · Physics 2009-08-10 Masashige Matsumoto , Mikito Koga , Hiroaki Kusunose

Embedding calculations that find approximate solutions to the Schr\"{o}dinger equation for large molecules and realistic solids are performed commonly in a three step procedure involving (i) construction of a model system with effective…

Strongly Correlated Electrons · Physics 2016-11-15 Alexander A. Rusakov , Jordan J. Phillips , Dominika Zgid

We apply the recently developed extremely correlated Fermi liquid theory to the Anderson impurity model, in the extreme correlation limit. We develop an expansion in a parameter \lambda, related to n_d, the average occupation of the…

Strongly Correlated Electrons · Physics 2026-01-14 B. Sriram Shastry , Edward Perepelitsky , Alex C. Hewson

In this paper a fast impurity solver is proposed for dynamical mean field theory (DMFT) based on a decoupling of the equations of motion for the impurity Greens function. The resulting integral equations are solved efficiently with a method…

Strongly Correlated Electrons · Physics 2009-06-10 Qingguo Feng , Yuzhong Zhang , Harald O. Jeschke

We present an implementation of the self-energy embedding theory (SEET) for periodic systems and provide a fully self-consistent embedding solution for a simple realistic periodic problem - 1D crystalline hydrogen - that displays many of…

Chemical Physics · Physics 2019-10-01 Alexander A. Rusakov , Sergei Iskakov , Lan Nguyen Tran , Dominika Zgid

We theoretically consider the effects of having unintentional charged impurities in laterally coupled two-dimensional double (GaAs) quantum dot systems, where each dot contains one or two electrons and a single charged impurity in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Nga T. T. Nguyen , S. Das Sarma

We demonstrate in the present study that self-consistent calculations based on the self-energy functional theory (SFT) are possible for the electronic structure of realistic systems in the context of quantum chemistry. We describe the…

Materials Science · Physics 2018-06-14 Taichi Kosugi , Hirofumi Nishi , Yoritaka Furukawa , Yu-ichiro Matsushita

The exact Green function is constructed for a quantum system, with known Green function, which is decorated by two delta function impurities.It is shown that when two such impurities coincide they behave as a single singular potential with…

Quantum Physics · Physics 2017-02-20 M. L. Glasser