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We calculate the frequency-dependent equilibrium noise of a mesoscopic capacitor in time-dependent density functional theory (TDDFT). The capacitor is modeled as a single-level quantum dot with on-site Coulomb interaction and tunnel…

介观与纳米尺度物理 · 物理学 2018-04-23 Niklas Dittmann , Janine Splettstoesser , Nicole Helbig

The possibility of finding multistability in the density and current of an interacting nanoscale junction coupled to semi-infinite leads is studied at various levels of approximation. The system is driven out of equilibrium by an external…

介观与纳米尺度物理 · 物理学 2015-06-03 E. Khosravi , A. -M. Uimonen , A. Stan , G. Stefanucci , S. Kurth , R. van Leeuwen , E. K. U. Gross

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

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

Improving the accuracy and thus broadening the applicability of electronic density functional theory (DFT) is crucial to many research areas, from material science, to theoretical chemistry, biophysics and biochemistry. In the last three…

强关联电子 · 物理学 2019-03-27 Paola Gori-Giorgi , Michael Seidl

In this work we study the role of bound electrons in quantum transport. The partition-free approach by Cini is combined with time-dependent density functional theory (TDDFT) to calculate total currents and densities in interacting systems.…

介观与纳米尺度物理 · 物理学 2009-11-11 Gianluca Stefanucci

Rabi oscillations have long been thought to be out of reach in simulations using time-dependent density functional theory (TDDFT), a prominent symptom of the failure of the adiabatic approximation for non-perturbative dynamics. We present a…

化学物理 · 物理学 2024-06-21 Davood B. Dar , Anna Baranova , Neepa T. Maitra

Density functional theory (DFT) has greatly expanded our ability to affordably compute and understand electronic ground states, by replacing intractable {\em ab initio} calculations by models based on paradigmatic physics from high- and…

化学物理 · 物理学 2023-03-29 Tim Gould , Derk P. Kooi , Paola Gori-Giorgi , Stefano Pittalis

We present the formalism of Time-dependent Exchange Perturbation Theory (TDEPT) built to all orders of perturbation, for the arbitrary time dependency of perturbation. The theory takes into account the rearrangement of electrons among…

Time dependent quantum systems are the subject of intense inquiry, in mathematics, science, and engineering, particularly at the atomic and molecular levels. In 1984, Runge and Gross introduced time dependent density functional theory…

偏微分方程分析 · 数学 2021-02-24 Joseph W. Jerome

Density-functional theory (DFT) has revolutionized computer simulations in chemistry and material science. A faithful implementation of the theory requires self-consistent calculations. However, this effort involves repeatedly diagonalizing…

量子物理 · 物理学 2023-07-17 Taehee Ko , Xiantao Li , Chunhao Wang

Time-dependent (TD) density functional theory (TDDFT) promises a numerically tractable account of many-body electron dynamics provided good simple approximations are developed for the exchange-correlation (XC) potential functional (XCPF).…

其他凝聚态物理 · 物理学 2008-08-29 Roi Baer

We revisit Kohn-Sham time-dependent density-functional theory (TDDFT) equations and show that they derive from a canonical Hamiltonian formalism. We use this geometric description of the TDDFT dynamics to define families of symplectic…

We show that the time dependent single electron, nuclear density matrix of an interacting electronic system coupled to nuclear degrees of freedom can be exactly reproduced by that of an electronic system with arbitrarily specified…

材料科学 · 物理学 2009-02-07 Vinod Krishna

In this article, we investigate the role of the self-interaction error in the simulation of collisions using time-dependent density functional theory (TDDFT) and Ehrenfest dynamics. We compare many different approximations of the exchange…

化学物理 · 物理学 2017-05-03 Edwin E. Quashie , Bidhan C. Saha , Xavier Andrade , Alfredo A. Correa

Ultrafast electronic dynamics in solids lies at the core of modern condensed matter and materials physics. To build up a practical ab initio method for studying solids under photoexcitation, we develop a momentum-resolved real-time time…

材料科学 · 物理学 2018-10-17 Chao Lian , Shi-Qi Hu , Meng-Xue Guan , Sheng Meng

Density functional theory (DFT) is the de facto approach for predicting self-consistent-field electronic structures of ground-state configurations of complex atoms, molecules, and solids and providing their property data for materials…

材料科学 · 物理学 2024-01-30 Zi-Kui Liu

A fundamental assumption of the dynamical density functional theory (DDFT) of colloidal systems is that a grand-canonical free energy functional may be employed to generate the thermodynamic driving forces. Using one-dimensional hard-rods…

软凝聚态物质 · 物理学 2013-06-04 Johannes Reinhardt , Joseph Michael Brader

A time-dependent density functional theory (TDDFT) for a quantum many-body system on a lattice is formulated rigorously. We prove the uniqueness of the density-to-potential mapping and demonstrate that a given density is $v$-representable…

强关联电子 · 物理学 2015-06-05 Mehdi Farzanehpour , I. V. Tokatly

When can we map a classical density profile to an external potential? In equilibrium, without time dependence, the one-body density is known to specify the external potential that is applied to the many-body system. This mapping from a…

数学物理 · 物理学 2025-03-20 Michael Andreas Klatt , Christian Bair , Hartmut Löwen , René Wittmann