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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…

化学物理 · 物理学 2021-10-12 Stefano Di Sabatino , Pierre-François Loos , Pina Romaniello

We report an all-electron, atomic orbital (AO) based, two-component (2C) implementation of the $GW$ approximation (GWA) for closed-shell molecules. Our algorithm is based on the space-time formulation of the GWA and uses analytical…

化学物理 · 物理学 2023-09-11 Arno Förster , Erik van Lenthe , Edoardo Spadetto , Lucas Visscher

Molecule-metal interfaces have a broad range of applications in nanoscale materials science. Accurate characterization of their electronic structures from first-principles is key in understanding material and device properties. The GW…

材料科学 · 物理学 2020-02-05 Zhenfei Liu

Verification and validation of electronic structure codes are essential to ensure reliable and reproducible results in computational materials science. While density functional theory has been extensively benchmarked, systematic assessments…

材料科学 · 物理学 2026-02-10 M. Bonacci , D. A. Leon , N. Spallanzani , E. Molinari , D. Varsano , A. Ferretti , C. Cardoso

Making predictions and quantifying their uncertainty when the input data is sequential is a fundamental learning challenge, recently attracting increasing attention. We develop SigGPDE, a new scalable sparse variational inference framework…

Fast and accurate waveform models are fundamentally important to modern gravitational wave astrophysics, enabling the study of merging compact objects like black holes and neutron stars. However, generating high-fidelity gravitational…

We present a plane wave implementation of the G0W0 approximation within the projector augmented wave method code GPAW. The computed band gaps of ten bulk semiconductors and insulators deviate on average by 0.2 eV (~ 5 %) from the…

材料科学 · 物理学 2014-01-10 Falco Hüser , Thomas Olsen , Kristian S. Thygesen

The accuracy of one-shot $G_0W_0$ and Bethe-Salpeter equation (BSE) calculations depends strongly on the underlying starting-point eigensystem, which is commonly obtained from a mean-field density-functional approximation. Range-separated…

化学物理 · 物理学 2026-05-22 Aditi Singh , Subrata Jana , Szymon Śmiga

Despite multiple successful applications of high-throughput computational materials design from first principles, there is a number of factors that inhibit its future adoption. Of particular importance are limited ability to provide high…

材料科学 · 物理学 2018-07-17 Protik Das , Mohammad Mohammadi , Timur Bazhirov

PyGSTi is a Python software package for assessing and characterizing the performance of quantum computing processors. It can be used as a standalone application, or as a library, to perform a wide variety of quantum characterization,…

Density functional approximations (DFAs) suffer from delocalization error, which limits their accuracy in predicting electron affinities (EAs), ionization potentials (IPs), and quasiparticle energies. In this work, we present a theoretical…

化学物理 · 物理学 2026-04-07 Zipeng An , Xiaolong Yang , Xiao Zheng , Weitao Yang

Within the framework of many-body perturbation theory based on Green's functions, the $GW$ approximation has emerged as a pivotal method for computing quasiparticle energies and excitation spectra. However, its high computational cost and…

化学物理 · 物理学 2025-12-25 Yueyang Zhang , Wei Wu , Peifeng Su

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

Working set size estimation (WSS) is of great significance to improve the efficiency of program executing and memory arrangement in modern operating systems. Previous work proposed several methods to estimate WSS, including self-balloning,…

性能 · 计算机科学 2023-03-13 Zhilu Lian , Yangzi Li , Zhixiang Chen , Shiwen Shan , Baoxin Han , Yuxin Su

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) 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…

材料科学 · 物理学 2026-05-19 Nasrin Farahani , Daria Popova-Gorelova

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 combination of the many-body Green's function $GW$ approximation and the Bethe-Salpeter equation (BSE) formalism has shown to be a promising alternative to time-dependent density-functional theory (TD-DFT) for computing vertical…

化学物理 · 物理学 2020-06-05 Pierre-François Loos , Anthony Scemama , Ivan Duchemin , Denis Jacquemin , Xavier Blase

We develop a weighted Bayesian Bootstrap (WBB) for machine learning and statistics. WBB provides uncertainty quantification by sampling from a high dimensional posterior distribution. WBB is computationally fast and scalable using only…

统计方法学 · 统计学 2021-04-06 Michael Newton , Nicholas G. Polson , Jianeng Xu

Quasi-Bayesian theory uses convex sets of probability distributions and expected loss to represent preferences about plans. The theory focuses on decision robustness, i.e., the extent to which plans are affected by deviations in subjective…

人工智能 · 计算机科学 2016-11-04 Fabio Gagliardi Cozman , Eric Krotkov