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We propose a systematic procedure for the approximation of density functionals in density functional theory that consists of two parts. First, for the efficient approximation of a general density functional, we introduce an efficient ansatz…

Strongly Correlated Electrons · Physics 2016-08-29 Michael Lubasch , Johanna I. Fuks , Heiko Appel , Angel Rubio , J. Ignacio Cirac , Mari-Carmen Bañuls

The particle-hole interaction problem is longstanding within time-dependent density functional theory (TDDFT) and leads to extreme errors in the prediction of K-edge X-ray absorption spectra (XAS). We derive a linear-response formalism that…

Chemical Physics · Physics 2022-10-18 Kevin Carter-Fenk , Leonardo A. Cunha , Juan E. Arias-Martinez , Martin Head-Gordon

The uniform electron gas (UEG) is a cornerstone of density-functional theory (DFT) and the foundation of the local-density approximation (LDA), one of the most successful approximations in DFT. In this work, we extend the concept of UEG by…

Chemical Physics · Physics 2025-05-26 Pierre-François Loos

The current investigation focuses on detailed analysis of the anchor based optimization approach (ABOA), its comparison with alternative global fitting protocols and on the global analysis of the truncation of basis effects in the…

Nuclear Theory · Physics 2024-06-05 A. Taninah , B. Osei , A. V. Afanasjev , U. Perera , S. Teeti

We applied renormalized singles (RS) in the multireference density functional theory (DFT) to calculate accurate energies of ground and excited states. The multireference DFT approach determines the total energy of the $N$-electron system…

Chemical Physics · Physics 2022-07-04 Jiachen Li , Zehua Chen , Weitao Yang

We have formulated and implemented a fully charge-self-consistent density functional theory plus dynamical mean field theory methodology which enables an efficient calculation of the total energy of realistic correlated electron systems.…

Strongly Correlated Electrons · Physics 2015-06-22 Hyowon Park , Andrew J. Millis , Chris A. Marianetti

Faithful representations of atomic environments and general models for regression can be harnessed to learn electron densities that are close to the ground state. One of the applications of data-derived electron densities is to orbital-free…

Materials Science · Physics 2019-03-01 Andrew T. Fowler , Chris J. Pickard , James A. Elliott

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…

Chemical Physics · Physics 2015-06-19 Min-Cheol Kim , Eunji Sim , 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…

Atomic Physics · Physics 2014-03-25 Uri Argaman , Guy Makov , Eli Kraisler

Elucidation of the mechanism for optical spin initialization of point defects in solids in the context of quantum applications requires an accurate description of the excited electronic states involved. While variational density functional…

Materials Science · Physics 2023-07-14 Aleksei V. Ivanov , Yorick L. A. Schmerwitz , Gianluca Levi , Hannes Jónsson

Processes related to electronically excited states are central in many areas of science, however accurately determining excited-state energies remains a major challenge in theoretical chemistry. Recently, higher energy stationary states of…

Chemical Physics · Physics 2020-06-05 Hugh G. A. Burton , Alex J. W. Thom , Pierre-François Loos

The self consistent version of the density functional theory (DFT) is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems such as atoms, molecules and clusters. The exact functional…

Condensed Matter · Physics 2007-05-23 M. Ya. Amusia , V. R. Shaginyan

Accurate treatment of the electronic correlation in inhomogeneous electronic systems, combined with the ability to capture the correlation energy of the homogeneous electron gas, allows to reach high predictive power in the application of…

Strongly Correlated Electrons · Physics 2010-06-22 E. Rasanen , S. Pittalis , C. R. Proetto

Density-functional theory is applied to compute the ground-state energies of quantum hard-sphere solids. The modified weighted-density approximation is used to map both the Bose and the Fermi solid onto a corresponding uniform Bose liquid,…

Statistical Mechanics · Physics 2009-10-30 A. R. Denton , P. Nielaba , N. W. Ashcroft

We demonstrate for the first time that a functional-renormalization-group aided density-functional theory (FRG-DFT) describes well the characteristic features of the excited states as well as the ground state of an interacting many-body…

Nuclear Theory · Physics 2019-03-08 Takeru Yokota , Kenichi Yoshida , Teiji Kunihiro

Density-corrected density functional theory (DC-DFT) is enjoying substantial success in improving semilocal DFT calculations in a wide variety of chemical problems. This paper provides the formal theoretical framework and assumptions for…

Chemical Physics · Physics 2019-08-19 Stefan Vuckovic , Suhwan Song , John Kozlowski , Eunji Sim , Kieron Burke

In recent years, "composite" density-functional-theory-based methods comprising specially optimized combinations of functionals, basis sets, and empirical corrections have become widely used owing to their robustness and computational…

Chemical Physics · Physics 2024-11-21 Corin C. Wagen , Jonathon E. Vandezande

We calculate the correction to the electronic density of states in a disordered ferromagnetic metal induced by spin-wave mediated interaction between the electrons. Our calculation is valid for the case that the exchange splitting in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alessandro Ricottone , Jeroen Danon , Piet W. Brouwer

Using GPU-accelerated state-vector emulation, we propose to embed a quantum computing ansatz into density-functional theory via density-based basis-set corrections (DBBSC) to obtain quantitative quantum-chemistry results on molecules that…

A direct orbital optimization method is presented for density functional calculations of excited electronic states using either a real space grid or a plane wave basis set. The method is variational, provides atomic forces in the excited…

Computational Physics · Physics 2022-11-09 Aleksei V. Ivanov , Gianluca Levi , Elvar Ö. Jónsson , Hannes Jónsson