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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…

数值分析 · 数学 2016-05-04 Peter Benner , Venera Khoromskaia , Boris N. Khoromskij

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,…

数值分析 · 数学 2017-03-08 Peter Benner , Sergey Dolgov , Venera Khoromskaia , Boris N. Khoromskij

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…

材料科学 · 物理学 2020-02-19 Chi Liu , Jan Kloppenburg , Xinguo Ren , Heiko Appel , Yosuke Kanai , Volker Blum

The Bethe-Salpeter equation (BSE) for bound states in scalar theories is reformulated and solved in terms of a generalized spectral representation directly in Minkowski space. This differs from the conventional approach, where the BSE is…

高能物理 - 唯象学 · 物理学 2015-06-25 K. Kusaka , K. M. Simpson , A. G. Williams

The Bethe-Salpeter equation (BSE) can provide an accurate description of low-energy optical spectra of insulating crystals - even when excitonic effects are important. However, due to high computational costs it is only possible to include…

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…

材料科学 · 物理学 2015-05-19 Fabien Bruneval , Samia M. Hamed , Jeffrey B. Neaton

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…

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…

材料科学 · 物理学 2020-01-01 Joshua Elliott , Nicola Colonna , Margherita Marsili , Nicola Marzari , Paolo Umari

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…

材料科学 · 物理学 2025-01-29 Christopher Hillenbrand , Jiachen Li , Tianyu Zhu

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…

化学物理 · 物理学 2020-08-26 Xavier Blase , Ivan Duchemin , Denis Jacquemin , Pierre-François Loos

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…

材料科学 · 物理学 2024-12-25 Victor Wen-zhe Yu , Yu Jin , Giulia Galli , Marco Govoni

To study the characteristic features of relativistic bound systems, the Bethe-Salpeter equation (BSE) for two equal mass spin 1/2 particles (like the deuteron) is solved in the cm-frame for a covariant separable interaction kernel. For that…

核理论 · 物理学 2007-05-23 Frieder Kleefeld , Manfred Dillig

The Bethe-Salpeter equation (BSE) formalism is a computationally affordable method for the calculation of accurate optical excitation energies in molecular systems. Similar to the ubiquitous adiabatic approximation of time-dependent…

化学物理 · 物理学 2020-09-22 Pierre-François Loos , Xavier Blase

The Bethe-Salpeter equation (BSE) that results from the GW approximation to the self-energy is a frequency-dependent (nonlinear) eigenvalue problem due to the dynamically screened Coulomb interaction between electrons and holes. The…

材料科学 · 物理学 2022-02-16 Sylvia J. Bintrim , Timothy C. Berkelbach

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…

化学物理 · 物理学 2023-02-15 Roberto Orlando , Pina Romaniello , Pierre-François Loos

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…

材料科学 · 物理学 2019-06-19 Ngoc Linh Nguyen , He Ma , Marco Govoni , Francois Gygi , Giulia Galli

There is a need for covariant solutions of bound state equations in order to construct realistic QCD based models of mesons and baryons. Furthermore, we ideally need to know the structure of these bound states in all kinematical regimes,…

高能物理 - 唯象学 · 物理学 2007-05-23 A. G. Williams , K. Kusaka , K. M. Simpson

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…

材料科学 · 物理学 2015-02-11 Eran Rabani , Roi Baer , Daniel Neuhauser

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…

化学物理 · 物理学 2026-05-20 Johannes Tölle , Marios-Petros Kitsaras , Pierre-François Loos

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…

材料科学 · 物理学 2025-10-20 Rafael R. Del Grande , David A. Strubbe
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