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相关论文: A generalized exchange-correlation functional: the…

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Practical density functional theory (DFT) owes its success to the groundbreaking work of Kohn and Sham that introduced the exact calculation of the non-interacting kinetic energy of the electrons using an auxiliary mean-field system.…

化学物理 · 物理学 2023-11-17 P. del Mazo-Sevillano , J. Hermann

We provide a rigorous derivation of a class of double-hybrid approximations, combining Hartree-Fock exchange and second-order Moller-Plesset correlation with a semilocal exchange-correlation density functional. These double-hybrid…

化学物理 · 物理学 2011-02-21 Kamal Sharkas , Julien Toulouse , Andreas Savin

Most approximate exchange-correlation functionals used within density functional theory are constructed as the sum of two distinct contributions for exchange and correlation. Separating the exchange component from the entire functional is…

凝聚态物理 · 物理学 2009-10-28 Claudia Filippi , C. J. Umrigar , Xavier Gonze

We propose global hybrid approximations of the exchange-correlation (XC) energy functional which reproduce well the modified fourth-order gradient expansion of the exchange energy in the semiclassical limit of many-electron neutral atoms…

化学物理 · 物理学 2015-01-22 E. Fabiano , L. A. Constantin , P. Cortona , F. Della Sala

A curious behavior of electron correlation energy is explored. Namely, the correlation energy is the energy that tends to drive the system toward that of the uniform electron gas. As such, the energy assumes its maximum value when a…

材料科学 · 物理学 2019-12-17 Teepanis Chachiyo , Hathaithip Chachiyo

The structural properties of liquid GeSe$_2$ are studied by using first-principles molecular dynamics in conjuncton with the Becke, Lee, Yang and Parr (BLYP) generalized gradient approximation for the exchange and correlation energy. The…

材料科学 · 物理学 2015-05-13 M. Micoulaut , R. Vuilleumier , C. Massobrio

Most density functionals have been developed by imposing the known exact constraints on the exchange-correlation energy, or by a fit to a set of properties of selected systems, or by both. However, accurate modeling of the conventional…

材料科学 · 物理学 2016-08-24 Jianmin Tao , Yuxiang Mo

Density functional theory(DFT) and Hartree-Fock(HF) calculations are reported for the family of transition metal fluorides $\mbox{ScF}_3$, $\mbox{TiF}_4$, $\mbox{VF}_5$, and $\mbox{CrF}_6$. Both HF and the local-density-aproximation (LDA)…

chem-ph · 物理学 2016-08-31 Thomas V. Russo , Richard L. Martin , P. Jeffrey Hay

Despite of their success, the results of first-principles quantum mechanical calculations contain inherent numerical errors caused by various approximations. We propose here a neural-network algorithm to greatly reduce these inherent…

数据分析、统计与概率 · 物理学 2007-05-23 LiHong Hu , XiuJun Wang , LaiHo Wong , GuanHua Chen

Using an end-to-end differentiable implementation of the Kohn-Sham self-consistent field equations, we obtain an accurate neural network-based exchange and correlation (XC) functional of the electronic density. The functional is optimized…

化学物理 · 物理学 2021-06-09 Sebastian Dick , Marivi Fernandez-Serra

Density functionals with asymptotic corrections to the long-range potential provide entry-level methods for calculations on molecules that can sustain charge transfer, but similar applications in Materials Science are rare. We describe an…

材料科学 · 物理学 2022-02-04 Musen Li , Jeffrey R. Reimers , Michael J. Ford , Rika Kobayashi , Roger D. Amos

This paper studies the novel concept of weight correlation in deep neural networks and discusses its impact on the networks' generalisation ability. For fully-connected layers, the weight correlation is defined as the average cosine…

机器学习 · 计算机科学 2020-10-20 Gaojie Jin , Xinping Yi , Liang Zhang , Lijun Zhang , Sven Schewe , Xiaowei Huang

Density functional theory (DFT) offers a desirable balance between quantitative accuracy and computational efficiency in practical many-electron calculations. Its central component, the exchange-correlation energy functional, has been…

We present a new paradigm for the design of exchange-correlation functionals in density-functional theory. Electron pairs are correlated explicitly by means of the recently developed second order Bethe-Goldstone equation (BGE2) approach.…

材料科学 · 物理学 2018-10-19 Igor Ying Zhang , Patrick Rinke , John P. Perdew , Matthias Scheffler

We assess the accuracy of common hybrid exchange-correlation (XC) functionals (PBE0, PBE0-1/3, HSE06, HSE03, and B3LYP) within Kohn-Sham density functional theory (KS-DFT) for the harmonically perturbed electron gas at parameters relevant…

化学物理 · 物理学 2023-03-08 Zhandos A. Moldabekov , Mani Lokamani , Jan Vorberger , Attila Cangi , Tobias Dornheim

A reliable first-principles description of singlet diradical character is essential for predicting nonlinear optical and magnetic properties of molecules. Since diradical and closed-shell electronic structures differ in their distribution…

计算物理 · 物理学 2018-08-30 Bodo Alexander Voigt , Torben Steenbock , Carmen Herrmann

The numerical implementation of an exchange-correlation functional is not always an accurate reproduction of its theoretical specification. For example, density functionals for exchange and correlation can be defined by an exchange or…

材料科学 · 物理学 2012-11-01 Jonathan E. Moussa , Peter A. Schultz

We derive a generalized gradient approximation to the exchange energy to be used in density functional theory calculations of two-dimensional systems. This class of approximations has a long and successful history, but it has not yet been…

强关联电子 · 物理学 2009-01-07 S. Pittalis , E. Rasanen , J. G. Vilhena , M. A. L. Marques

The one-particle Green function of a many-electron system is traditionally formulated within the self-energy picture. A different formalism was recently proposed, in which the self-energy is replaced by a dynamical exchange-correlation…

强关联电子 · 物理学 2025-05-27 F. Aryasetiawan

The ability of several density-functional theory (DFT) exchange-correlation functionals to describe hydrogen bonds in small water clusters (dimer to pentamer) in their global minimum energy structures is evaluated with reference to second…

材料科学 · 物理学 2009-07-20 Biswajit Santra , Angelos Michaelides , Matthias Scheffler