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We present an efficient implementation of the Bethe-Salpeter equation (BSE) method for obtaining core-level spectra including x-ray absorption (XAS), x-ray emission (XES), and both resonant and non-resonant inelastic x-ray scattering…

We present a hybrid approach for GW/Bethe-Salpeter Equation (BSE) calculations of core excitation spectra, including x-ray absorption (XAS), electron energy loss spectra (EELS), and non-resonant inelastic x-ray scattering (NRIXS). The…

材料科学 · 物理学 2015-05-20 J. Vinson , E. L. Shirley , J. J. Rehr , J. J. Kas

The Bethe-Salpeter equation for the electron-hole correlation function is the state-of-the-art formalism for optical and core spectroscopy in condensed matter. Solutions of this equation yield the full dielectric response, including both…

材料科学 · 物理学 2019-04-12 Christian Vorwerk , Benjamin Aurich , Caterina Cocchi , Claudia Draxl

The Bethe-Salpeter equation (BSE) can provide an accurate description of low-energy optical spectra of insulating crystals - even when excitonic effects are important. However, due to high computational costs it is only possible to include…

The Bethe-Salpeter equation (BSE) is a powerful theoretical approach that is capable to accurately treat electron-hole interactions in materials in an excited state. We developed an ab initio framework based on the BSE to describe a…

材料科学 · 物理学 2026-05-19 Nasrin Farahani , Daria Popova-Gorelova

We present an energy-specific Bethe-Salpeter equation (BSE) implementation for efficient core and valence optical spectrum calculations. In energy-specific BSE, high-lying excitation energies are obtained by constructing trial vectors and…

材料科学 · 物理学 2025-01-29 Christopher Hillenbrand , Jiachen Li , Tianyu Zhu

We delineate an ab initio approach for obtaining x-ray absorption spectra as provided by many-body perturbation theory, together with its realization within an all-electron framework. Employing the Bethe-Salpeter equation, we address…

材料科学 · 物理学 2017-09-08 Claudia Draxl , Caterina Cocchi

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 an efficient implementation of the Bethe-Salpeter equation (BSE) for optical properties of materials in the projector augmented wave method GPAW. Single-particle energies and wave functions are obtained from the GLLBSC functional…

材料科学 · 物理学 2012-07-20 Jun Yan , Karsten W. Jacobsen , Kristian S. Thygesen

We present an efficient way to solve the Bethe-Salpeter equation (BSE), a model for the computation of absorption spectra in molecules and solids that includes electron-hole excitations. Standard approaches to construct and diagonalize the…

We present a massively parallel, GPU-accelerated implementation of the Bethe-Salpeter equation (BSE) for the calculation of the vertical excitation energies (VEEs) and optical absorption spectra of condensed and molecular systems, starting…

材料科学 · 物理学 2024-12-25 Victor Wen-zhe Yu , Yu Jin , Giulia Galli , Marco Govoni

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) 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

The Bethe-Salpeter Equation (BSE) can be applied to compute from first-principles optical spectra that include the effects of screened electron-hole interactions. As input, BSE calculations require single-particle states, quasiparticle…

材料科学 · 物理学 2020-01-01 Joshua Elliott , Nicola Colonna , Margherita Marsili , Nicola Marzari , Paolo Umari

A time-dependent formulation for electron-hole excitations in extended finite systems, based on the Bethe-Salpeter equation (BSE), is developed using a stochastic wave function approach. The time-dependent formulation builds on the…

材料科学 · 物理学 2015-02-11 Eran Rabani , Roi Baer , Daniel Neuhauser

The $GW$-Bethe-Salpeter Equation (BSE) method is promising for calculating the low-lying excited states of molecular systems. So far, it has only been applied to rather small molecules, and in the commonly implemented diagonal…

化学物理 · 物理学 2022-08-10 Arno Förster , Lucas Visscher

Excitonic effects in optical spectra and electron-hole pair excitations are described by solutions of the Bethe-Salpeter equation (BSE) that accounts for the Coulomb interaction of excited electron-hole pairs. Although for the computation…

其他凝聚态物理 · 物理学 2008-08-20 F. Fuchs , C. Rödl , A. Schleife , F. Bechstedt

The Bethe-Salpeter equation (BSE) is a reliable model for estimating the absorption spectra in molecules and solids on the basis of accurate calculation of the excited states from first principles. This challenging task includes calculation…

数值分析 · 数学 2016-05-04 Peter Benner , Venera Khoromskaia , Boris N. Khoromskij

The Bethe-Salpeter equation (BSE) is currently the state of the art in the description of neutral electron excitations in both solids and large finite systems. It is capable of accurately treating charge-transfer excitations that present…

The Bethe-Salpeter Equation (BSE) is the workhorse method to study excitons in materials. The BSE Hamiltonian size, which depends on how many valence-to-conduction band transitions are considered, needs to be chosen to be sufficiently large…

材料科学 · 物理学 2025-10-20 Rafael R. Del Grande , David A. Strubbe
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