Bethe–Salpeter equation for absorption and scattering spectroscopy: implementation in the exciting code. (21st August 2019)

• Record Type: Journal Article
• Authors: Vorwerk, Christian; Aurich, Benjamin; Cocchi, Caterina; Draxl, Claudia
• Is Part Of: Electronic structure. Volume 1:Number 3(2019)
• Publication Date: 2019-08-21
• Subjects: Bethe–Salpeter equation -- many-body perturbation theory -- optical absorption spectroscopy -- x-ray absorption spectroscopy -- inelastic x-ray scattering spectroscopy -- electron energy-loss spectroscopy; Electronic structure -- Periodicals; 530.411
• DOI: 10.1088/2516-1075/ab3123
• Languages: English
• ISSNs: 2516-1075

Abstract

Abstract: 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 the absorption and the inelastic scattering spectra. Here, we present an efficient implementation within the all-electron full-potential codeexciting, which employs the linearized augmented plane-wave (L)APW+LO basis set. Being an all-electron code, exciting allows the calculation of optical and core excitations on the same footing. The implementation fully includes the effects of finite momentum transfer which may occur in inelastic x-ray spectroscopy and electron energy-loss spectroscopy. Our implementation does not require the application of the Tamm–Dancoff approximation that is commonly employed in the determination of absorption spectra in condensed matter. The interface with parallel linear-algebra libraries enables the calculation for complex systems. The capability of our implementation to compute, analyze, and interpret the results of different spectroscopic techniques is demonstrated by selected examples of prototypical inorganic and organic semiconductors and insulators.