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Reduced-density-matrix-functional theory is applied to open-shell systems. We introduce a spin-restricted formulation by appropriately expressing approximate correlation-energy functionals in terms of spin-dependent occupation numbers and…

强关联电子 · 物理学 2007-05-23 N. N. Lathiotakis , N. Helbig , E. K. U. Gross

Polymer self-consistent field theory techniques are used to derive quantum density functional theory without the use of the theorems of density functional theory. Instead, a free energy is obtained from a partition function that is…

化学物理 · 物理学 2022-11-29 Russell B. Thompson

Predictivity of the Kohn-Sham approach to dynamical problems, when regarded as an initial value problem in a time-dependent density functional framework, is analysed for a class of models for which the argument devised in the work of Maitra…

其他凝聚态物理 · 物理学 2015-06-16 Walter Tarantino

We discuss energy densities in the strong-interaction limit of density functional theory, deriving an exact expression within the definition (gauge) of the electrostatic potential of the exchange-correlation hole. Exact results for small…

化学物理 · 物理学 2012-11-14 André Mirtschink , Michael Seidl , Paola Gori-Giorgi

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 study the Kohn-Sham scheme for the calculation of the steady state linear response to a harmonic perturbation that is turned on adiabatically. Although in general the exact time dependent exchange-correlation potential cannot be…

其他凝聚态物理 · 物理学 2009-11-13 Ryan Requist , Oleg Pankratov

We present a substantial extension of our constraint-based approach for development of orbital-free (OF) kinetic-energy (KE) density functionals intended for the calculation of quantum-mechanical forces in multi-scale molecular dynamics…

材料科学 · 物理学 2015-05-13 V. V. Karasiev , R. S. Jones , S. B. Trickey , Frank E. Harris

The most widely-used density functionals for the exchange-correlation energy are inexact for one-electron systems. Their self-interaction errors can be severe in some applications. The problem is not only to correct the self-interaction…

化学物理 · 物理学 2009-11-10 Stephan Kümmel , John P. Perdew

We present and test a new approximation for the exchange-correlation (xc) energy of Kohn-Sham density functional theory. It combines exact exchange with a compatible non-local correlation functional. The functional is by construction free…

化学物理 · 物理学 2014-05-23 Tobias Schmidt , Eli Kraisler , Adi Makmal , Leeor Kronik , Stephan Kümmel

Some theorems on derivatives of the Coulomb density functional with respect to the coupling constant $\lambda$ are given. Consider an electron density $n_{GS}({\bf r})$ given by a ground state. A model Fermion system with the reduced…

统计力学 · 物理学 2015-05-20 Koichi Kusakabe , Isao Maruyama

We study consequences of gauge invariance and charge conservation of an electron gas in a strong random potential perturbed by a weak electromagnetic field. We use quantum equations of motion and Ward identities for one- and two-particle…

无序系统与神经网络 · 物理学 2008-09-16 V. Janis , J. Kolorenc , V. Spicka

Current-spin density functional theory (CSDFT) provides a framework to describe interacting many-electron systems in a magnetic field which couples to both spin- and orbital-degrees of freedom. Unlike in usual (spin-) density functional…

材料科学 · 物理学 2015-06-25 S. Pittalis , S. Kurth , N. Helbig , E. K. U. Gross

Accurately describing excited states within Kohn-Sham (KS) density functional theory (DFT), particularly those which induce ionization and charge transfer, remains a great challenge. Common exchange-correlation (xc) approximations are…

材料科学 · 物理学 2021-02-09 Eli Kraisler , M. J. P. Hodgson , E. K. U. Gross

We propose approximations which go beyond the local density approximation for the short-range exchange and correlation density functionals appearing in a multi-determinantal extension of the Kohn-Sham scheme. A first approximation consists…

化学物理 · 物理学 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin

Microscopic models of electronic subsystems with orbital degeneracy of energy states and non-diagonal matrix elements of electron interactions (correlated hopping) are considered within the configuration-operator approach. Equations for…

强关联电子 · 物理学 2021-01-19 Yu. Skorenkyy , O. Kramar , Yu. Dovhopyaty

We propose a way to improve energy density functionals (EDFs) in the density functional theory based on the combination of the inverse Kohn--Sham method and the density functional perturbation theory. Difference between the known EDF and…

化学物理 · 物理学 2019-11-22 Tomoya Naito , Daisuke Ohashi , Haozhao Liang

Electronic structure calculations are routinely carried out within the framework of density-functional theory, often with great success. For electrons in reduced dimensions, however, there is still a need for better approximations to the…

强关联电子 · 物理学 2009-09-22 S. Pittalis , E. Rasanen , E. K. U. Gross

We revisit the derivation of the orbital magnetization formula for periodic crystals in current density functional theory (CDFT)[1]. Our new derivation computes the linear response of the energy density to a periodic magnetic field in the…

材料科学 · 物理学 2026-05-15 Giovanni Vignale , Junren Shi , Di Xiao , Qian Niu

The construction of density-functional approximations is explored by modeling the adiabatic connection em locally, using energy densities defined in terms of the electrostatic potential of the exchange-correlation hole. These local models…

化学物理 · 物理学 2016-05-04 Stefan Vuckovic , Tom Irons , Andreas Savin , Andrew M. Teale , Paola Gori-Giorgi

One-electron self-interaction and an incorrect asymptotic behavior of the Kohn-Sham exchange-correlation potential are among the most prominent limitations of many present-day density functionals. However, a one-electron…

化学物理 · 物理学 2016-07-06 Tobias Schmidt , Eli Kraisler , Leeor Kronik , Stephan Kümmel