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The quasiparticle (QP) energies, which are minus of the energies required by removing or produced by adding one electron from/to the system, corresponding to the photoemission or inverse photoemission (PE/IPE) spectra, are determined…

Other Condensed Matter · Physics 2017-02-15 Kaoru Ohno , Shota Ono , Tomoharu Isobe

An end-to-end strategy for hybrid quantum-classical computations of Green's functions in many-body systems is presented and applied to the pairing model. The scheme makes explicit use of the spectral representation of the Green's function,…

Nuclear Theory · Physics 2026-05-01 Samuel Aychet-Claisse , Denis Lacroix , Vittorio Somà , Jing Zhang

The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices, but is often difficult or even impossible to calculate directly. We present a numerically efficient framework for…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Robert Meiners Fuchs , Juanjuan Ren , Stephen Hughes , Marten Richter

A generalized Green's function theory is developed to simulate the inelastic electron tunneling spectroscopy (IETS) of molecular junctions. It has been applied to a realistic molecular junction with an octanedithiolate embedded between two…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Jun Jiang , Mathias Kula , Wei Lu , Yi Luo

The Green's function plays a crucial role when studying the nature of quantum many-body systems, especially strongly-correlated systems. Although the development of quantum computers in the near future may enable us to compute energy…

Quantum Physics · Physics 2020-08-25 Suguru Endo , Iori Kurata , Yuya O. Nakagawa

The measurement of quasiparticle scattering patterns on material surfaces using scanning tunneling microscopy (STM) is now an established technique for accessing the momentum-resolved electronic band structure of solids. However, since…

Strongly Correlated Electrons · Physics 2025-09-03 Xinze Yang , Alexander F. Kemper , Adrian Gozar , Eduardo H. da Silva Neto

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

Several widely used methods for the calculation of band structures and photo emission spectra, such as the GW approximation, rely on Many-Body Perturbation Theory. They can be obtained by iterating a set of functional differential equations…

Strongly Correlated Electrons · Physics 2012-01-31 Giovanna Lani , Pina Romaniello , Lucia Reining

We introduce an alternative route to quasiparticle self-consistent $GW$ calculations ($\mathrm{qs}GW$) on the basis of a Joint Approximate Diagonalization of the one-body $GW$ Green's functions $G(\varepsilon_n^{QP})$ taken at the input…

Materials Science · Physics 2024-12-05 Ivan Duchemin , Xavier Blase

The self-consistent theory of the correlation effects in Highly Correlated Systems(HCS) is presented. The novel Irreducible Green's Functions(IGF) method is discused in detail for the Hubbard model and random Hubbard model. The…

Strongly Correlated Electrons · Physics 2008-02-03 A. L. Kuzemsky

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

An ensemble Green's function formalism, based on the von Neumann density matrix approach, to calculate one-electron excitation spectra of a many-electron system with degenerate ground states is proposed. A set of iterative equations for the…

Strongly Correlated Electrons · Physics 2019-12-24 Erik Linnér , Ferdi Aryasetiawan

A one-dimensional quantum wire of Fermions is considered and ground state properties are calculated in the high density regime within the extended quasiparticle picture and Born approximation. Expanding the two-particle Green functions…

Strongly Correlated Electrons · Physics 2025-02-18 Klaus Morawetz , Vinod Ashokan , Kare Narain Pathak , Neil Drummond , Gianaurelio Cuniberti

The single particle Green's function provides valuable information on the momentum and energy-resolved spectral properties for a strongly correlated system. In large-scale numerical calculations using quantum Monte Carlo (QMC), dynamical…

Strongly Correlated Electrons · Physics 2024-10-01 Maksymilian Kliczkowski , Lauren Keyes , Sayantan Roy , Thereza Paiva , Mohit Randeria , Nandini Trivedi , Maciej M. Maska

Many-body Green's functions encode all the properties and excitations of interacting electrons. While these are challenging to be evaluated accurately on a classical computer, recent efforts have been directed towards finding quantum…

Over the past decade we have developed Koopmans functionals, a computationally efficient approach for predicting spectral properties with an orbital-density-dependent functional framework. These functionals impose a generalized piecewise…

We report an implementation of self-consistent Green's function many-body theory within a second-order approximation (GF2) for application with molecular systems. This is done by iterative solution of the Dyson equation expressed in matrix…

Chemical Physics · Physics 2016-11-15 Jordan J. Phillips , Dominika Zgid

A relativistic Green function approach to the inclusive quasielastic (e,e') scattering is presented. The single particle Green function is expanded in terms of the eigenfunctions of the nonhermitian optical potential. This allows one to…

Nuclear Theory · Physics 2009-11-10 Andrea Meucci , Franco Capuzzi , Carlotta Giusti , Franco Davide Pacati

Representing nonlinear dynamical systems using the Koopman Operator and its spectrum has distinct advantages in terms of linear interpretability of the model as well as in analysis and control synthesis through the use of well-studied…

Systems and Control · Electrical Eng. & Systems 2024-11-26 Shankar A. Deka , Umesh Vaidya

Coupled-cluster (CC) theory and Green's function many-body perturbation theory (MBPT) have long evolved as distinct yet complementary frameworks for describing electronic correlation. While CC methods employ exponential wavefunction…