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We describe an all-electron implementation of the Bethe-Salpeter equation (BSE) for the calculation of optical absorption spectra in the full-potential linearized augmented-plane-wave (FLAPW) method. So far, FLAPW implementations have…

Materials Science · Physics 2026-03-27 Jörn Stöhler , Stefan Blügel , Christoph Friedrich

The Bethe-Salpeter equation (BSE) formalism, combined with the $GW$ approximation for ionization energies and electron affinities, is emerging as an efficient and accurate method for predicting optical excitations in molecules. In this…

Chemical Physics · Physics 2026-05-20 Johannes Tölle , Marios-Petros Kitsaras , Pierre-François Loos

We present a computational approach for exciton calculations in two-dimensional (2D) materials within the Bethe-Salpeter equation (BSE) framework, employing an atomistic description with point-like orbitals. Unlike widespread efficient…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 P. Ninhos , A. J. Uría-Álvarez , C. Tserkezis , N. A. Mortensen , J. J. Palacios

In this work we present a new procedure to compute optical spectra including excitonic effects and approximated quasiparticle corrections with reduced computational effort. The excitonic effects on optical spectra are included by solving…

Materials Science · Physics 2020-08-26 Filipe Matusalem , Marcelo Marques , Ivan Guilhon , Lara K. Teles

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…

We present an ab initio study of neutral core and valence electronic excitations in {\alpha}-Al2O3 by solving the Bethe-Salpeter equation (BSE) of many-body perturbation theory within an all-electron framework. Calculated spectra at the Al…

Materials Science · Physics 2024-01-26 M. Laura Urquiza , Matteo Gatti , Francesco Sottile

Excitons, namely neutral excitations in a system of electrons arising from the electron-hole interaction, are often essential to explain optical measurements in materials. They are governed by the Bethe-Salpeter equation, which can be cast…

Strongly Correlated Electrons · Physics 2024-10-29 M. A. García-Blázquez , J. J. Palacios

In order to realize the significant potential of optical materials such as metal halides, computational techniques which give accurate optical properties are needed, which can work hand-in-hand with experiments to generate high efficiency…

Materials Science · Physics 2021-03-04 Jamie M. Booth , Mike V. Klymenko , Jared H. Cole , Salvy P. Russo

Widely employed Near-Edge X-Ray Absorption Fine Structure (NEXAFS) spectroscopy probes a system by excitation of core electrons to unoccupied states. A variety of different methodologies are available to simulate corresponding spectra from…

Chemical Physics · Physics 2019-02-14 Georg S. Michelitsch , Karsten Reuter

Broadly speaking, the calculation of core spectra such as electron energy loss spectra (EELS) at the level of density functional theory (DFT) usually relies one of two approaches: conceptually more complex but computationally efficient…

We present an approach to calculate the optical absorption spectra that combines the quasiparticle self-consistent GW method [Phys. Rev. B, 76 165106 (2007)] for the electronic structure with the solution of the ladder approximation to the…

Materials Science · Physics 2018-03-21 Brian Cunningham , Pooya Azarhoosh , Dimitar Pashov , Myrta Gruening , Mark van Schilfgaarde

We present a method to compute optical spectra and exciton binding energies of molecules and solids based on the solution of the Bethe-Salpeter equation (BSE) and the calculation of the screened Coulomb interaction in finite field. The…

Materials Science · Physics 2019-06-19 Ngoc Linh Nguyen , He Ma , Marco Govoni , Francois Gygi , Giulia Galli

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…

Materials Science · Physics 2012-07-20 Jun Yan , Karsten W. Jacobsen , Kristian S. Thygesen

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…

Computational Physics · Physics 2026-05-29 Maximilian Graml , Jan Wilhelm

The combination of the many-body Green's function $GW$ approximation and the Bethe-Salpeter equation (BSE) formalism has shown to be a promising alternative to time-dependent density-functional theory (TD-DFT) for computing vertical…

Chemical Physics · Physics 2020-06-05 Pierre-François Loos , Anthony Scemama , Ivan Duchemin , Denis Jacquemin , Xavier Blase

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…

Mesoscale and Nanoscale Physics · Physics 2021-09-10 Yeongsu Cho , Sylvia J. Bintrim , Timothy C. Berkelbach

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…

Chemical Physics · Physics 2025-04-18 Christof Holzer , Yannick J. Franzke

In this paper, we study and implement the structural iterative eigensolvers for the large-scale eigenvalue problem in the Bethe-Salpeter equation (BSE) based on the reduced basis approach via low-rank factorizations in generating matrices,…

Numerical Analysis · Mathematics 2017-03-08 Peter Benner , Sergey Dolgov , Venera Khoromskaia , Boris N. Khoromskij

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…

Materials Science · Physics 2015-02-11 Eran Rabani , Roi Baer , Daniel Neuhauser

PET requires accurate, precise, and efficient scatter correction techniques. Conventional scatter estimation typically relies on tail-fitted single-scatter simulation (SSS) strategy. However, the accuracy of tail-fitted SSS is limited, for…