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The exact exchange-correlation (XC) potential in time-dependent density-functional theory (TDDFT) is known to develop steps and discontinuities upon change of the particle number in spatially confined regions or isolated subsystems. We…

介观与纳米尺度物理 · 物理学 2019-03-27 Daniel Vieira , K. Capelle , C. A. Ullrich

We have recently put forward a steady-state density functional theory (i-DFT) to calculate the transport coefficients of quantum junctions. Within i-DFT it is possible to obtain the steady density on and the steady current through an…

介观与纳米尺度物理 · 物理学 2018-07-04 S. Kurth , G. Stefanucci

We find the analytical solution to the time-dependent density-functional theory (TDDFT) problem for the quasi-low-dimensional (2D and 1D) electron gas (QLDEG) with only one band filled in the direction perpendicular to the system extent.…

介观与纳米尺度物理 · 物理学 2017-06-14 Vladimir U. Nazarov

The time-dependent density functional theory (TDDFT) has been broadly used to investigate the excited-state properties of various molecular systems. However, the current TDDFT heavily relies on outcomes from the corresponding ground-state…

化学物理 · 物理学 2020-09-02 Shu-Hao Yeh , Aaditya Manjanath , Yuan-Chung Cheng , Jeng-Da Chai , Chao-Ping Hsu

Time-dependent density functional theory (TDDFT) within the linear response regime provides a solid mathematical framework to capture excitations. The accuracy of the theory, however, largely depends on the approximations for the…

强关联电子 · 物理学 2023-11-01 Aaron D. Kaplan , Adrienn Ruzsinszky

We present a new methodology for the linear-response time-dependent density functional theory (LR-TDDFT) calculation of the dynamic density response function of warm dense matter in an adiabatic approximation that can be used with any…

Long-range charge-transfer excitations pose a major challenge for time-dependent density functional approximations. We show that spin-symmetry-breaking offers a simple solution for molecules composed of open-shell fragments, yielding…

化学物理 · 物理学 2015-03-17 Johanna I. Fuks , Angel Rubio , Neepa T. Maitra

Density functional theory (DFT) is shown to provide a novel conceptual and computational framework for entanglement in interacting many-body quantum systems. DFT can, in particular, shed light on the intriguing relationship between quantum…

量子物理 · 物理学 2009-11-11 L. -A. Wu , M. S. Sarandy , D. A. Lidar , L. J. Sham

In this work we have studied a new functional for the correlation energy obtained from the exact-exchange (EXX) approximation within time-dependent density functional theory (TDDFT). Correlation energies have been calculated for a number of…

介观与纳米尺度物理 · 物理学 2015-05-14 Maria Hellgren , Ulf von Barth

In principle, we should not need the time-dependent extension of density-functional theory (TDDFT) for excitations, and in particular not for Molecular Dynamics (MD) studies: the theorem by Hohenberg and Kohn teaches us that for any…

强关联电子 · 物理学 2015-05-27 J. L. Alonso , Alberto Castro , Pablo Echenique , Angel Rubio

We present a detailed study of the exact-exchange (EXX) kernel of time-dependent density functional theory with an emphasis on its discontinuity at integer particle numbers. It was recently found that this exact property leads to sharp…

化学物理 · 物理学 2015-06-17 M. Hellgren , E. K. U. Gross

A mixed quantum-classical approach to simulate the coupled dynamics of electrons and nuclei in nanoscale molecular systems is presented. The method relies on a second order expansion of the Lagrangian in time-dependent density functional…

化学物理 · 物理学 2009-11-10 T. A. Niehaus , D. Heringer , B. Torralva , Th. Frauenheim

The van Leeuwen proof of linear-response time-dependent density functional theory (TDDFT) is generalized to thermal ensembles. This allows generalization to finite temperatures of the Gross-Kohn relation, the exchange-correlation kernel of…

化学物理 · 物理学 2016-06-15 Aurora Pribram-Jones , Paul E. Grabowski , Kieron Burke

Density functional theory (DFT) remains the most widely used electronic structure method. Although exact in principle, in practice, it relies on approximations to the exchange-correlation (XC) functional, which is known to be a unique…

计算物理 · 物理学 2025-10-14 Vishal Subramanian , Bikash Kanungo , Vikram Gavini

Kohn-Sham density functional theory (DFT) is the workhorse of quantum chemistry, offering an attractive balance between accuracy and computational cost. Although exact in principle, DFT in practice relies on an approximation to the unknown…

量子物理 · 物理学 2026-05-12 Karim K. Alaa El-Din , Antonius v. Strachwitz , Sam M. Vinko

An exact theoretical framework based on Time Dependent Density Functional Theory (TDDFT) is proposed in order to deal with the time-dependent quantum transport in fully interacting systems. We use a \textit{partition-free} approach by Cini…

介观与纳米尺度物理 · 物理学 2009-11-10 Gianluca Stefanucci , Carl-Olof Almbladh

A simple approximate solution to the linear response equations of time-dependent density functional theory (TDDFT) is given. This extends the single-pole approximation (SPA) to two strongly-coupled poles. The analysis provides both an…

材料科学 · 物理学 2009-11-11 H. Appel , E. K. U. Gross , K. Burke

Following a recent work [E. Fromager, J. Phys. Chem. A 2025, 129, 4, 1143-1155] on the ensemble density functional theory (DFT) of excited electronic energy levels, we derive in this paper the ensuing static linear response theory, thus…

化学物理 · 物理学 2025-09-26 Lucien Dupuy , Emmanuel Fromager

Density functional theory (DFT) embedding provides a formally exact framework for interfacing correlated wave-function theory (WFT) methods with lower-level descriptions of electronic structure. Here, we report techniques to improve the…

化学物理 · 物理学 2015-06-12 Jason D. Goodpaster , Taylor A. Barnes , Frederick R. Manby , Thomas F. Miller

In this comparative study we benchmark a recently developed non-adiabatic exchange-correlation potential within time-dependent density functional theory (TDDFT) (Phys.\ Rev.\ Lett.\ {\bf 120}, 157701 (2018)) by (a) validating the transient…

统计力学 · 物理学 2019-02-20 Niklas Dittmann , Nicole Helbig , Dante M. Kennes