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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…

Materials Science · Physics 2020-02-19 Chi Liu , Jan Kloppenburg , Xinguo Ren , Heiko Appel , Yosuke Kanai , Volker Blum

A basic concept to calculate physical features of non-ideal plasmas, such as optical properties, is the spectral function which is linked to the self-energy. We calculate the spectral function for a non-relativistic hydrogen plasma in…

Plasma Physics · Physics 2009-11-13 Carsten Fortmann , Gerd Röpke , August Wierling

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

$\alpha$-Li$_x$V$_2$O$_5$ is obtained by intercalating Li between the layers of V$_2$O$_5$. The partial filling of the split-off conduction band by electron donation from Li leads to significant changes in optical properties. Here we study…

Materials Science · Physics 2025-07-16 Claudio Garcia , Walter R. L. Lambrecht

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…

Chemical Physics · Physics 2021-10-12 Stefano Di Sabatino , Pierre-François Loos , Pina Romaniello

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…

Materials Science · Physics 2019-04-12 Christian Vorwerk , Benjamin Aurich , Caterina Cocchi , Claudia Draxl

First principles calculations based on many-electron perturbation theory methods, such as the \textit{ab initio} GW and GW plus Bethe-Salpeter equation (GW-BSE) approach, are reliable ways to predict quasiparticle and optical properties of…

Materials Science · Physics 2017-01-11 Felipe H. da Jornada , Diana Y. Qiu , Steven G. Louie

In this work we propose an accurate first-principle approach to calculate the transient photo--absorption spectrum measured in Pump\&\,Probe experiments. We formulate a condition of {\em adiabaticity} and thoroughly analyze the…

Other Condensed Matter · Physics 2016-07-19 E. Perfetto , D. Sangalli , A. Marini , G. Stefanucci

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 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

An optical absorption spectrum constitutes one of the most fundamental material characteristics, with relevant applications ranging from material identification to energy harvesting and optoelectronics. However, the database of both…

Materials Science · Physics 2022-09-20 Ruo Xi Yang , Matthew K. Horton , Jason Munro , Kristin A. Persson

We present a real-time propagation method for computing linear and nonlinear optical properties of molecules based on the Bethe-Salpeter equation. The method follows the time evolution of the one-particle density matrix under an external…

Computational Physics · Physics 2025-09-29 Štěpán Marek , Jan Wilhelm

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…

Materials Science · Physics 2020-01-01 Joshua Elliott , Nicola Colonna , Margherita Marsili , Nicola Marzari , Paolo Umari

By employing the first-principles GW-Bethe-Salpeter Equation (BSE) simulation, we obtain, for the first time, the accurate quasiparticle (QP) band gap, optical absorption spectra and their dependence on the gate field of gated bilayer…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Yufeng Liang , Li Yang

The electronic band structure of V$_2$O$_5$ is calculated using an all-electron quasiparticle self-consistent (QS) $GW$ method, including electron-hole ladder diagrams in the screening of $W$. The optical dielectric function calculated with…

Materials Science · Physics 2024-07-31 Claudio Garcia , Santosh Kumar Radha , Swagata Acharya , Walter R. L. Lambrecht

Since the earliest implementations of the various GW approximations and cumulant expansion in the calculations of quasiparticle propagators and spectra, several attempts have been made to combine the advantageous properties and results of…

Materials Science · Physics 2016-08-03 Branko Gumhalter , Vjekoslav Kovač , Fabio Caruso , Henry Lambert , Feliciano Giustino

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…

Computational Physics · Physics 2016-01-29 K. Gilmore , John Vinson , E. L. Shirley , D. Prendergast , C. D. Pemmaraju , J. J. Kas , F. D. Vila , J. J. Rehr

We report an all-electron implementation of the quasiparticle self-consistent GW (QSGW) method for molecular and periodic systems within the framework of numerical atomic orbitals (NAOs), as implemented in the LibRPA software package. Our…

Materials Science · Physics 2026-05-22 Bohan Jia , Min-Ye Zhang , Ziqing Guan , Huanjing Gong , Xinguo Ren

Solar cells based on a light absorbing layer of the organometal halide perovskite CH$_3$NH$_3$PbI$_3$ have recently reached 15% conversion efficiency, though how these materials work remains largely unknown. We analyse the electronic…

Materials Science · Physics 2014-04-24 Federico Brivio , Keith T. Butler , Aron Walsh , Mark van Schilfgaarde

We present calculations of the absorption spectrum of semiconductors and insulators comparing various approaches: (i) the two-particle Bethe-Salpeter equation of Many-Body Perturbation Theory; (ii) time-dependent density-functional theory…

Other Condensed Matter · Physics 2009-11-13 Francesco Sottile , Marherita Marsili , Valerio Olevano , Lucia Reining