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We report on the use of the adaptively compressed exchange (ACE) operator to accelerate many-body perturbation theory (MBPT) calculations, including G$_0$W$_0$ and the Bethe Salpeter equation (BSE), for hybrid density functional theory…

Materials Science · Physics 2025-07-17 Victor Wen-zhe Yu , Marco Govoni

Resonant inelastic x-ray scattering (RIXS) is a widely used spectroscopic technique, providing access to the electronic structure and dynamics of atoms, molecules, and solids. However, RIXS requires a narrow bandwidth x-ray probe to achieve…

Using a recently developed impurity solver we exemplify how dynamical mean field theory captures band excitations, resonances, edge singularities and excitons in core level x-ray absorption (XAS) and core level photo electron spectroscopy…

Strongly Correlated Electrons · Physics 2015-06-23 M. W. Haverkort , G. Sangiovanni , P. Hansmann , A. Toschi , Y. Lu , S. Macke

In this study, we employed Fourier-based quantum phase estimation (QPE) to calculate X-ray absorption spectroscopy (XAS) spectra. The primary focus of this study is the calculation of the XAS spectra of transition metal $L_{2,3}$-edges,…

Quantum Physics · Physics 2026-02-10 Hirofumi Nishi , Taichi Kosugi , Satoshi Hirose , Tatsuya Okayama , Yu-ichiro Matsushita

Optical properties of materials related to light absorption and scattering are explained by the excitation of electrons. The Bethe-Salpeter equation is the state-of-the-art approach to describe these processes from first principles (ab…

Numerical Analysis · Mathematics 2020-08-21 Peter Benner , Carolin Penke

Understanding and controlling the way excitons propagate in solids is a key for tailoring materials with improved optoelectronic properties. A fundamental step in this direction is the determination of the exciton energy-momentum…

Phosphorene is a bidimensional material that has properties useful for semiconductor devices. In this work we studied the electronic and optical properties of this material using the $GW$ approximation and the Bethe-Salpeter equation (BSE)…

Mesoscale and Nanoscale Physics · Physics 2017-11-16 Fábio Ferreira , Ricardo Mendes Ribeiro

The Bethe-Salpeter equation is a widely used approach to describe optical excitations in bulk semiconductors. It leads to spectra that are in very good agreement with experiment, but the price to pay for such accuracy is a very high…

X-ray absorption spectroscopy (XAS) is an explicit probe of the unoccupied electronic structure of materials and an invaluable tool for fingerprinting various electronic properties and phenomena. Computational methods capable of simulating…

Materials Science · Physics 2023-02-07 Subhayan Roychoudhury , David Prendergast

Here we report the optical and x-ray absorption (XAS) spectra of the wide-band-gap oxide MgO using density functional theory (DFT) and many-body perturbation theory (MBPT). Our comprehensive study of the electronic structure shows that…

Other Condensed Matter · Physics 2021-05-19 Vijaya Begum , Markus E. Gruner , Christian Vorwerk , Claudia Draxl , Rossitza Pentcheva

We present a screened exact-exchange (SXX) method for the efficient and accurate calculation of the optical properties of solids, where the screening is achieved through the zero-wavevector limit of the inverse dielectric function. The SXX…

Materials Science · Physics 2015-01-23 Zeng-hui Yang , Francesco Sottile , Carsten A. Ullrich

Electron-phonon and exciton-phonon interactions in nanoclusters are formulated and computed under the framework of GW-BSE (Bethe-Salpeter equation) approach. The phonon effect is modeled with the two-particle representation for the first…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Taofang Zeng , Yi He

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…

Chemical Physics · Physics 2022-10-26 Jiachen Li , Dorothea Golze , Weitao Yang

We develop a method of the ab-initio calculation for the core-level x-ray photoemission spectroscopy (XPS). By calculating one-electron states in the presence of core-hole potential, excited states are constructed by distributing electrons…

Materials Science · Physics 2008-09-22 Manabu Takahashi , Jun-ichi Igarashi , Noriaki Hamada

In this paper, we introduce a new interpolation scheme to approximate the density of states (DOS) for a class of rank-structured matrices with application to the Tamm-Dancoff approximation (TDA) of the Bethe-Salpeter equation (BSE). The…

Numerical Analysis · Mathematics 2019-02-20 Peter Benner , Venera Khoromskaia , Boris N. Khoromskij , Chao Yang

We establish a rigorous density functional theory (DFT) framework for core-level X-ray absorption spectroscopy (XAS) by formulating a constrained search for core-excited states based on the Gunnarsson-Lundqvist theorem. Within this…

Materials Science · Physics 2025-11-25 Seokkyu An , Taisuke Ozaki

We applied localized orbital scaling correction (LOSC) in Bethe-Salpeter equation (BSE) to predict accurate excitation energies for molecules. LOSC systematically eliminates the delocalization error in the density functional approximation…

Chemical Physics · Physics 2022-07-04 Jiachen Li , Ye Jin , Neil Qiang Su , Weitao Yang

The development of high-performance electron sources requires theoretical frameworks that accurately link the microscopic electronic properties of cathode materials to their macroscopic photoemission observables. Here, we present a…

Materials Science · Physics 2026-02-16 Richard Schier , Chen Wang , Jonas Dube , Julius Kühn , Alice Galdi , Thorsten Kamps , Caterina Cocchi

We propose a new formalism and an effective computational framework to study self-trapped excitons (STE) in insulators and semiconductors from first principles. Using the many-body Bethe-Salpeter equation in combination with perturbation…

Materials Science · Physics 2023-11-22 Yunfei Bai , Yaxian Wang , Sheng Meng

Solving the Bethe-Salpeter equation (BSE) for the optical polarization functions is a first principles means to model optical properties of materials including excitonic effects. One almost ubiquitously used approximation neglects the…

Materials Science · Physics 2023-07-11 Xiao Zhang , Joshua A. Leveillee , André Schleife