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The automation of ab initio simulations is essential in view of performing high-throughput (HT) computational screenings oriented to the discovery of novel materials with desired physical properties. In this work, we propose algorithms and…

We propose a simple many-body based screening mixing strategy to considerably enhance the performance of the Bethe-Salpeter (BS) approach for prediction of excitation energies of molecular systems. This strategy enables us to nearly…

Chemical Physics · Physics 2017-11-15 Vafa Ziaei , Thomas Bredow

The Bethe-Salpeter equation (BSE) is the key equation in many-body perturbation theory based on Green's functions to access response properties. Within the $GW$ approximation to the exchange-correlation kernel, the BSE has been successfully…

Chemical Physics · Physics 2023-02-15 Roberto Orlando , Pina Romaniello , Pierre-François Loos

The Fock exchange operator plays a central role in modern quantum chemistry. The large computational cost associated with the Fock exchange operator hinders Hartree-Fock calculations and Kohn-Sham density functional theory calculations with…

Computational Physics · Physics 2020-05-22 Lin Lin

We present an energy-specific Bethe-Salpeter equation (BSE) implementation for efficient core and valence optical spectrum calculations. In energy-specific BSE, high-lying excitation energies are obtained by constructing trial vectors and…

Materials Science · Physics 2025-01-29 Christopher Hillenbrand , Jiachen Li , Tianyu Zhu

Here, we build on the works of Scuseria (et al.) http://dx.doi.org/10.1063/1.3043729 and Berkelbach https://doi.org/10.1063/1.5032314 to show connections between the Bethe-Salpeter equation (BSE) formalism combined with the $GW$…

Chemical Physics · Physics 2022-12-19 Raúl Quintero-Monsebaiz , Enzo Monino , Antoine Marie , Pierre-François Loos

Ab initio molecular dynamics (AIMD) simulations using hybrid density functionals and plane waves are of great interest owing to the accuracy of this approach in treating condensed matter systems. On the other hand, such AIMD calculations…

Chemical Physics · Physics 2020-01-08 Sagarmoy Mandal , Nisanth N. Nair

The quasiparticle electronic structure and optical excitation of anatase TiO$_2$ is determined within the framework of many-body perturbation theory (MBPT) by combining the $G_0W_0$ method and the Bethe-Salpeter Equation (BSE). A modified…

Materials Science · Physics 2021-12-07 Sruthil Lal S. B , D Murali , Matthias Posselt , Assa Aravindh Sasikala Devi , Alok Sharan

The predictive power of the ab initio Bethe-Salpeter equation (BSE) approach, rigorously based on many-body Green's function theory but incorporating information from density functional theory, has already been demonstrated for the optical…

Materials Science · Physics 2015-05-19 Fabien Bruneval , Samia M. Hamed , Jeffrey B. Neaton

We present a massively parallel, GPU-accelerated implementation of the Bethe-Salpeter equation (BSE) for the calculation of the vertical excitation energies (VEEs) and optical absorption spectra of condensed and molecular systems, starting…

Materials Science · Physics 2024-12-25 Victor Wen-zhe Yu , Yu Jin , Giulia Galli , Marco Govoni

Ab initio molecular dynamics (AIMD) with hybrid density functionals and plane wave basis is computationally expensive due to the high computational cost of exact exchange energy evaluation. Recently, we proposed a strategy to combine…

Chemical Physics · Physics 2021-01-11 Sagarmoy Mandal , Vaishali Thakkur , Nisanth N. Nair

Performing high accuracy hybrid functional calculations for condensed matter systems containing a large number of atoms is at present computationally very demanding - when not out of reach - if high quality basis sets are used. We present a…

Materials Science · Physics 2017-12-22 Laura E. Ratcliff , A. Degomme , José A. Flores-Livas , Stefan Goedecker , Luigi Genovese

We present an efficient way to solve the Bethe-Salpeter equation (BSE), a model for the computation of absorption spectra in molecules and solids that includes electron-hole excitations. Standard approaches to construct and diagonalize the…

Computational Physics · Physics 2018-02-01 Wei Hu , Meiyue Shao , Andrea Cepellotti , Felipe H. da Jornada , Lin Lin , Kyle Thicke , Chao Yang , Steven G. Louie

Starting from realistic nuclear forces, the chiral N$^3$LO and JISP16, we have applied many-body perturbation theory (MBPT) to the structure of closed-shell nuclei, $^4$He and $^{16}$O. The two-body N$^3$LO interaction is softened by a…

Nuclear Theory · Physics 2019-11-07 Baishan Hu , Furong Xu , Zhonghao Sun , James P. Vary , Tong Li

The connection between many-body theory (MBPT)--in perturbative and non-perturbative form--and quantum-electrodynamics (QED) is reviewed for systems of two fermions in an external field. The treatment is mainly based upon the recently…

Quantum Physics · Physics 2009-11-11 Ingvar Lindgren

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

Like adiabatic time-dependent density-functional theory (TD-DFT), the Bethe-Salpeter equation (BSE) formalism of many-body perturbation theory, in its static approximation, is "blind" to double (and higher) excitations, which are…

Chemical Physics · Physics 2021-06-14 Enzo Monino , Pierre-François Loos

A formalism for energy-dependent many-body perturbation theory (MBPT), previously indicated in our recent review articles (Lindgren et al., Phys.Rep. 389,161(2004), Can.J.Phys. 83,183(2005)), is developed in more detail. The formalism…

Quantum Physics · Physics 2009-11-13 Ingvar Lindgren , Sten Salomonson , Daniel Hedendahl

Building on a beyond-GW many-body framework that incorporates higher-order vertex effects in the self-energy -- giving rise to T-matrix and second-order exchange contributions -- this approach is extended to now include the vertex derived…

Computational Physics · Physics 2025-05-14 Brian Cunningham

The Bethe-Salpeter Equation (BSE) is the workhorse method to study excitons in materials. The BSE Hamiltonian size, which depends on how many valence-to-conduction band transitions are considered, needs to be chosen to be sufficiently large…

Materials Science · Physics 2025-10-20 Rafael R. Del Grande , David A. Strubbe
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