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We apply the renormalized singles (RS) Green's function in the Bethe-Salpeter equation (BSE)/$GW$ approach to predict accurate neutral excitation energies of molecular systems. The BSE calculations are performed on top of the…

化学物理 · 物理学 2022-10-26 Jiachen Li , Dorothea Golze , Weitao Yang

We review the Bethe-Salpeter equation (BSE) approach to the calculation of electronic excitation energies of molecular systems. We recall the general Green's function many-theory formalism and give the working equations of the BSE approach…

化学物理 · 物理学 2013-04-05 Elisa Rebolini , Julien Toulouse , Andreas Savin

Spectroscopic and optical properties of nanosystems and point defects are discussed within the framework of Green's function methods. We use an approach based on evaluating the self-energy in the so-called GW approximation and solving the…

材料科学 · 物理学 2009-11-11 Murilo L. Tiago , James R. Chelikowsky

The Bethe-Salpeter equation (BSE) combined with the Green's function GW method has successfully transformed into a robust computational tool to describe light-matter interactions and excitation spectra for molecules, solids, and materials…

化学物理 · 物理学 2025-04-18 Christof Holzer , Yannick J. Franzke

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.…

化学物理 · 物理学 2018-07-23 Pierre-François Loos , Pina Romaniello , J. A. Berger

A GW-BSE approximation scheme is assessed by applying it to a model of asymmetric two-dimensional (2D) interacting electron system. The model is assumed to have a parabolic band characterized by two independent effective mass parameters. A…

材料科学 · 物理学 2026-05-26 Xiaoguang Wu

We study within the many-body Green's function GW and Bethe-Salpeter formalisms the excitation energies of a paradigmatic model dipeptide, focusing on the four lowest-lying local and charge-transfer excitations. Our GW calculations are…

材料科学 · 物理学 2015-06-17 Carina Faber , Paul Boulanger , Ivan Duchemin , Claudio Attaccalite , Xavier Blase

Many-body Green's functions theory within the GW approximation and the Bethe-Salpeter Equation (BSE) is implemented in the open-source VOTCA-XTP software, aiming at the calculation of electronically excited states in complex molecular…

The predictive power of the ab initio Bethe-Salpeter equation (BSE) approach, rigorously based on many-body Green's function theory but incorporating information from density functional theory, has already been demonstrated for the optical…

材料科学 · 物理学 2015-05-19 Fabien Bruneval , Samia M. Hamed , Jeffrey B. Neaton

Inspired by Grimme's simplified Tamm-Dancoff density functional theory approach [S. Grimme, J. Chem. Phys. \textbf{138}, 244104 (2013)], we describe a simplified approach to excited state calculations within the GW approximation to the…

介观与纳米尺度物理 · 物理学 2021-09-10 Yeongsu Cho , Sylvia J. Bintrim , Timothy C. Berkelbach

A new scheme has been proposed to solve the B.E. condenstates in terms of Green's function approach. It has been shown that the radial wave function of two interacting atoms, moving in a common harmonic oscillator potential modified by an…

量子物理 · 物理学 2007-05-23 Mahendra Sinha Roy

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…

化学物理 · 物理学 2021-10-12 Stefano Di Sabatino , Pierre-François Loos , Pina Romaniello

We develop a time dependent second order Green's function theory (GF2) for calculating neutral excited states in molecules. The equation of motion for the lesser Green's function (GF) is derived within the adiabatic approximation to the…

化学物理 · 物理学 2022-01-19 Wenjie Dou , Joonho Lee , David R. Reichman , Roi Baer , Eran Rabani

The Bethe-Salpeter equation (BSE) formalism is steadily asserting itself as a new efficient and accurate tool in the ensemble of computational methods available to chemists in order to predict optical excitations in molecular systems. In…

化学物理 · 物理学 2020-08-26 Xavier Blase , Ivan Duchemin , Denis Jacquemin , Pierre-François Loos

The GW plus Bethe-Salpeter equation (GW-BSE) formalism is a well-established approach for calculating excitation energies and optical spectra of molecules, nanostructures, and crystalline materials. We implement GW-BSE in the CP2K code and…

计算物理 · 物理学 2026-05-29 Maximilian Graml , Jan Wilhelm

The Bethe-Salpeter equation (BSE) is the key equation in many-body perturbation theory based on Green's functions to access response properties. Within the $GW$ approximation to the exchange-correlation kernel, the BSE has been successfully…

化学物理 · 物理学 2023-02-15 Roberto Orlando , Pina Romaniello , Pierre-François Loos

We present a molecular extension of our recently proposed Green's function embedding method, interacting-bath dynamical embedding theory (ibDET), for computing charged excitation energies at the $GW$ and EOM-CCSD levels. Starting from…

化学物理 · 物理学 2026-04-06 Christian Venturella , Jiachen Li , Tianyu Zhu

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…

The Bethe-Salpeter equation (BSE) based on GW quasiparticle levels is a successful approach for calculating the optical gaps and spectra of solids and also for predicting the neutral excitations of small molecules. We here present an…

材料科学 · 物理学 2020-02-19 Chi Liu , Jan Kloppenburg , Xinguo Ren , Heiko Appel , Yosuke Kanai , Volker Blum

Green's function theory has emerged as a powerful many-body approach not only in condensed matter physics but also in quantum chemistry in recent years. We have developed a new all-electron implementation of the BSE@GW formalism using…

化学物理 · 物理学 2024-10-15 Ruiyi Zhou , Yi Yao , Volker Blum , Xinguo Ren , Yosuke Kanai
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