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The exchange-correlation energy in Kohn-Sham density functional theory is expressed as a functional of the electronic density and the Kohn-Sham orbitals. An alternative to Kohn-Sham theory is to express the energy as a functional of the…

计算物理 · 物理学 2009-10-31 S. Goedecker , C. Umrigar

Improving the predictive capability of molecular properties in ab initio simulations is essential for advanced material discovery. Despite recent progress making use of machine learning, utilizing deep neural networks to improve quantum…

化学物理 · 物理学 2021-09-22 Muhammad F. Kasim , Sam M. Vinko

Multi-terminal transport setups allow to realize more complex measurements and functionalities (e.g., transistors) of nanoscale systems than the simple two-terminal arrangement. Here the steady-state density functional formalism (i-DFT) for…

介观与纳米尺度物理 · 物理学 2019-08-14 Stefan Kurth , David Jacob , Nahual Sobrino , Gianluca Stefanucci

Density Functional Theory (DFT) is a pivotal method within quantum chemistry and materials science, with its core involving the construction and solution of the Kohn-Sham Hamiltonian. Despite its importance, the application of DFT is…

Kohn-Sham spin-density functional theory provides an efficient and accurate model to study electron-electron interaction effects in quantum dots, but its application to large systems is a challenge. An efficient algorithm for the…

介观与纳米尺度物理 · 物理学 2007-05-23 Hong Jiang , Harold U. Baranger , Weitao Yang

We present a $\Delta$-machine learning model for obtaining Kohn-Sham accuracy from orbital-free density functional theory (DFT) calculations. In particular, we employ a machine learned force field (MLFF) scheme based on the kernel method to…

化学物理 · 物理学 2023-10-11 Shashikant Kumar , Xin Jing , John E. Pask , Andrew J. Medford , Phanish Suryanarayana

To explore whether the density-functional theory non-equilibrium Green's function formalism (DFT-NEGF) provides a rigorous framework for quantum transport, we carried out time-dependent density functional theory (TDDFT) calculations of the…

材料科学 · 物理学 2011-07-01 ChiYung Yam , Xiao Zheng , GuanHua Chen , Yong Wang , Thomas Frauenheim , Thomas A. Niehaus

Kohn-Sham density functional theory is one of the most widely used electronic structure theories. In the pseudopotential framework, uniform discretization of the Kohn-Sham Hamiltonian generally results in a large number of basis functions…

数值分析 · 数学 2015-05-27 Lin Lin , Jianfeng Lu , Lexing Ying , E. Weinan

Nuclear Density Functional Theory (DFT) plays a prominent role in the understanding of nuclear structure, being the approach with the widest range of applications. Hohenberg and Kohn theorems warrant the existence of a nuclear Energy…

核理论 · 物理学 2020-03-03 G. Accorto , P. Brandolini , F. Marino , A. Porro , A. Scalesi , G. Colò , X. Roca-Maza , E. Vigezzi

The design of better exchange-correlation functionals for Density Functional Theory (DFT) is a central challenge of modern electronic structure theory. However, current developments are limited by the mathematical form of the functional,…

化学物理 · 物理学 2024-08-19 Kyle Bystrom , Boris Kozinsky

The advent of the Hohenberg-Kohn theorem in 1964, its extension to finite-T, Kohn-Sham theory, and relativistic extensions provide the well-established formalism of density-functional theory (DFT). This theory enables the calculation of all…

量子物理 · 物理学 2013-07-18 M. W. C. Dharma-wardana

Orbital-free density functional theory (OF-DFT) holds the promise to compute ground state molecular properties at minimal cost. However, it has been held back by our inability to compute the kinetic energy as a functional of the electron…

化学物理 · 物理学 2023-10-25 Roman Remme , Tobias Kaczun , Maximilian Scheurer , Andreas Dreuw , Fred A. Hamprecht

Orbital-free density functional theory (OFDFT) offers a challenging way of electronic-structure calculations scaled as $\mathcal{O}(N)$ computation for system size $N$. We here develop a scheme of the OFDFT calculations based on the…

计算物理 · 物理学 2021-09-06 Fumihiro Imoto , Masatoshi Imada , Atsushi Oshiyama

In a recent paper we presented a linear scaling Kohn-Sham density functional theory (DFT) code based on Daubechies wavelets, where a minimal set of localized support functions is optimized in situ and therefore adapted to the chemical…

材料科学 · 物理学 2015-10-08 Laura E. Ratcliff , Luigi Genovese , Stephan Mohr , Thierry Deutsch

We present a method capable of calculating elastic scanning tunneling microscopy (STM) currents from localized atomic orbital density functional theory (DFT). To overcome the poor accuracy of the localized orbital description of the wave…

介观与纳米尺度物理 · 物理学 2018-09-14 Alexander Gustafsson , Magnus Paulsson

In the framework of density functional theory a formalism to describe electronic transport in the steady state is proposed which uses the density on the junction and the {\em steady current} as basic variables. We prove that, in a finite…

介观与纳米尺度物理 · 物理学 2016-01-12 G. Stefanucci , S. Kurth

Kohn-Sham density functional theory (DFT) has long struggled with the accurate description of strongly correlated and open shell systems and improvements have been minor even in the newest hybrid functionals. In this Letter we treat the…

化学物理 · 物理学 2021-04-01 Danny Gibney , Jan-Niklas Boyn , David A. Mazziotti

A stochastic approach to time-dependent density functional theory (TDDFT) is developed for computing the absorption cross section and the random phase approximation (RPA) correlation energy. The core idea of the approach involves…

化学物理 · 物理学 2016-11-04 Yi Gao , Daniel Neuhauser , Roi Baer , Eran Rabani

Orbital-free Density Functional Theory (OF-DFT) has been used when studying atoms, molecules and solids. In nuclear physics, there has been basically no application of OF-DFT so far, as the Density Functional Theory (DFT) has been widely…

核理论 · 物理学 2023-08-03 Gianluca Colo' , Kouichi Hagino

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

材料科学 · 物理学 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan