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Ab initio techniques for studying the optical and vibrational properties of materials are well-established, but only a few recent studies have focused on the interaction between excitons and atomic vibrations. In this paper, we revisit the…

Materials Science · Physics 2026-03-17 Rafael R. Del Grande , David A. Strubbe

The formalism to calculate excited state properties from the $GW$-Bethe-Salpeter equation (BSE) method is introduced, providing convenient access to excited state absorption, excited state circular dichroism, and excited state optical…

Chemical Physics · Physics 2024-12-25 Paula Himmelsbach , Christof Holzer

In this tutorial we introduce the reader to several theoretical methods of determining the exciton wave functions and the corresponding eigenenergies. The methods covered are either analytical, semi-analytical, or numeric. We make explicit…

Mesoscale and Nanoscale Physics · Physics 2022-04-28 M. F. C. Martins Quintela , J. C. G. Henriques , N. M. R. Peres

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…

Materials Science · Physics 2026-05-19 Nasrin Farahani , Daria Popova-Gorelova

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…

Other Condensed Matter · Physics 2008-08-20 F. Fuchs , C. Rödl , A. Schleife , F. Bechstedt

An ab initio approach is presented for studying the collective excitations in excitonic insulators, charge/spin density waves and superconductors. We derive the Bethe-Salpeter-Equation for the particle-hole excitations in the quasiparticle…

Materials Science · Physics 2026-01-09 Fengyuan Xuan , Jiexi Song , Zhiyuan Sun

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

We present a first-principles method for the calculation of optical excitations in nanosystems. The method is based on solving the Bethe-Salpeter equation (BSE) for neutral excitations. The electron self-energy is evaluated within the GW…

Materials Science · Physics 2009-11-11 Murilo L. Tiago , James R. Chelikowsky

Relaxation processes following light excitation in semiconductors are key in materials-based quantum technology applications. These processes are broadly studied in atomically thin transition metal dichalcogenides (TMDs),…

Materials Science · Physics 2025-05-13 Tomer Amit , Guy Vosco , Mauro Del Ben , Sivan Refaely-Abramson

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…

Numerical Analysis · Mathematics 2016-05-04 Peter Benner , Venera Khoromskaia , Boris N. Khoromskij

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

Here we describe an efficient numerical implementation of the Bethe-Salpeter equation to obtain the excitonic spectrum of semiconductors. This is done on the electronic structure calculated either at the simplest tight-binding level or…

Structural relaxations in electronically excited poly(para-phenylene) are studied using many-body perturbation theory and density-functional-theory methods. A sophisticated description of the electron-hole interaction is required to…

Materials Science · Physics 2009-11-10 Emilio Artacho , M. Rohlfing , M. Cote , P. D. Haynes , R. J. Needs , C. Molteni

This chapter gives an introduction to qualitative and quantitative topological analyses of molecular electronic transitions. Among the possibilities for qualitatively describing how the electronic structure of a molecule is reorganized upon…

Chemical Physics · Physics 2018-11-27 Thibaud Etienne

We develop a theoretical framework to understand the preparation and relaxation of a metastable Mott insulator state within the first excited band of a 1D optical lattice. The state is loaded by "lifting" atoms from the ground to the first…

Other Condensed Matter · Physics 2015-05-13 John H. Challis , S. M. Girvin , L. I. Glazman

Electron-phonon ($e$-ph) interactions are key to understanding the dynamics of electrons in materials, and can be modeled accurately from first-principles. However, when electrons and holes form Coulomb-bound states (excitons), quantifying…

Materials Science · Physics 2020-09-09 Hsiao-Yi Chen , Davide Sangalli , Marco Bernardi

Open-shell systems such as magnetic molecules or defects with a triplet ground state are challenging to describe in electronic structure methods, but are of great interest for quantum information applications. We demonstrate a spin-flip…

Materials Science · Physics 2022-07-12 Bradford A. Barker , David A. Strubbe

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

We have measured depolarized light scattering in liquid benzene over the whole accessible temperature range and over four decades in frequency. Between 40 and 180 GHz we find a susceptibility peak due to structural relaxation. This peak…

Soft Condensed Matter · Physics 2011-04-05 Sabine Wiebel , Joachim Wuttke

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…

Chemical Physics · Physics 2020-08-26 Xavier Blase , Ivan Duchemin , Denis Jacquemin , Pierre-François Loos
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