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We present conditional probability (CP) density functional theory (DFT) as a formally exact theory. In essence, CP-DFT determines the ground-state energy of a system by finding the CP density from a series of independent Kohn-Sham (KS) DFT…

化学物理 · 物理学 2022-06-28 Ryan Pederson , Jielun Chen , Steven R. White , Kieron Burke

Conditional-probability density functional theory (CP-DFT) is a formally exact method for finding correlation energies from Kohn-Sham DFT without evaluating an explicit energy functional. We present details on how to generate accurate…

化学物理 · 物理学 2022-05-04 Dennis Perchak , Ryan J. McCarty , Kieron Burke

Standard density functional approximations often give questionable results for odd-electron radical complexes, with the error typically attributed to self-interaction. In density corrected density functional theory (DC-DFT), certain classes…

化学物理 · 物理学 2015-06-19 Min-Cheol Kim , Eunji Sim , Kieron Burke

In the exact Kohn-Sham density-functional theory (DFT), the total energy versus the number of electrons is a series of linear segments between integer points. However, commonly used approximate density functionals produce total energies…

材料科学 · 物理学 2013-04-03 Eli Kraisler , Leeor Kronik

DFT calculations have become widespread in both chemistry and materials, because they usually provide useful accuracy at much lower computational cost than wavefunction-based methods. All practical DFT calculations require an approximation…

化学物理 · 物理学 2022-03-15 Eunji Sim , Suhwan Song , Stefan Vuckovic , Kieron Burke

Density functional theory (DFT) is an exact alternative formulation of quantum mechanics, in which it is possible to calculate the total energy, the spin and the charge density of many-electron systems in the ground state. In practice, it…

原子物理 · 物理学 2014-03-25 Uri Argaman , Guy Makov , Eli Kraisler

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…

The crucial step in density-corrected Hartree-Fock density functional theory (DC(HF)-DFT) is to decide whether the density produced by the density functional for a specific calculation is erroneous and hence should be replaced by, in this…

化学物理 · 物理学 2023-09-20 Daniel Graf , Alex J. W. Thom

Density Functional Theory (DFT) is one of the most widely used methods for "ab initio" calculations of the structure of atoms, molecules, crystals, surfaces, and their interactions. Unfortunately, the customary introduction to DFT is often…

物理教育 · 物理学 2010-12-07 Nathan Argaman , Guy Makov

Understanding the properties of warm dense hydrogen is of key importance for the modeling of compact astrophysical objects and to understand and further optimize inertial confinement fusion (ICF) applications. The work horse of warm dense…

A recently developed approach, conditional probability density functional theory (CP-DFT), yields direct access to the exchange-correlation hole of a system, an important correlation function that is not available from any standard DFT…

材料科学 · 物理学 2026-05-14 Peiwei You , Ryan Pederson , Kieron Burke , E. K. U. Gross

We introduced a new electron density n({\epsilon}) by projecting the spatial electron density n(r) onto the energy coordinate {\epsilon} defined with the external potential \upsion (r) of interest. Then, a density functional theory (DFT)…

化学物理 · 物理学 2018-02-20 Hideaki Takahashi

We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

材料科学 · 物理学 2009-11-10 Roi Baer , Daniel Neuhauser

The calculation of the band-gap by density-functional theory (DFT) methods is examined by considering the behavior of the energy as a function of number of electrons. It is found that the incorrect band-gap prediction with most approximate…

材料科学 · 物理学 2009-11-13 Aron J. Cohen , Paula Mori-Sánchez , Weitao Yang

Simulation of warm dense matter requires computational methods that capture both quantum and classical behavior efficiently under high-temperature, high-density conditions. Currently, density functional theory molecular dynamics is used to…

化学物理 · 物理学 2015-10-21 Attila Cangi , Aurora Pribram-Jones

Perdew et al. [Phys. Rev. Lett 49, 1691 (1982)] discovered and proved two different properties of exact Kohn-Sham density functional theory (DFT): (i) The exact total energy versus particle number is a series of linear segments between…

其他凝聚态物理 · 物理学 2015-03-13 Tamar Stein , Jochen Autschbach , Niranjan Govind , Leeor Kronik , Roi Baer

Kohn-Sham density functional theory is the base of modern computational approaches to electronic structures. Their accuracy vitally relies on the exchange-correlation energy functional, which encapsulates electron-electron interaction…

计算物理 · 物理学 2019-11-04 Ryo Nagai , Ryosuke Akashi , Osamu Sugino

Density functional theory (DFT) calculation has had huge success as a tool capable of predicting important physical and chemical properties of condensed matter systems. We calculate the electric dipole moment of a molecule by using the…

化学物理 · 物理学 2019-03-12 Byeong June Min

We decompose the energy error of any variational DFT calculation into a contribution due to the approximate functional and that due to the approximate density. Typically, the functional error dominates, but in many interesting situations,…

化学物理 · 物理学 2015-06-12 Min-Cheol Kim , Eunji Sim , Kieron Burke

Standard approximations for the exchange-correlation (XC) functional in Kohn-Sham density functional theory (KS-DFT) typically lead to unacceptably large errors when applied to strongly-correlated electronic systems. Partition-DFT (PDFT) is…

化学物理 · 物理学 2023-09-12 Yi Shi , Yuming Shi , Adam Wasserman
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