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An explicit expression for the quadratic density-response function of a many-electron system is obtained in the framework of the time-dependent density-functional theory, in terms of the linear and quadratic density-response functions of…

材料科学 · 物理学 2009-11-10 V. U. Nazarov , J. M. Pitarke , C. S. Kim , Y. Takada

The combination of density functional theory with other approaches to the many-electron problem through the separation of the electron-electron interaction into a short-range and a long-range contribution is a promising method, which is…

材料科学 · 物理学 2009-11-11 Paola Gori-Giorgi , Andreas Savin

A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham…

核理论 · 物理学 2021-04-28 Giacomo Accorto , Tomoya Naito , Haozhao Liang , Tamara Niksic , Dario Vretenar

This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and…

核理论 · 物理学 2009-11-19 R. J. Furnstahl , G. Rupak , T. Schaefer

We propose a description of nonequilibrium systems via a simple protocol that combines exchange-correlation potentials from density functional theory with self-energies of many-body perturbation theory. The approach, aimed to avoid double…

强关联电子 · 物理学 2016-06-15 M. Hopjan , D. Karlsson , S. Ydman , C. Verdozzi , C. -O. Almbladh

The complex nature of electron-electron correlations is made manifest in the very simple but non-trivial problem of two electrons confined within a sphere. The description of highly non-local correlation and self-interaction effects by…

其他凝聚态物理 · 物理学 2016-08-16 J. Jung , P. García-González , J. E. Alvarellos , R. W. Godby

The density-functional (DF) theory provides a simple method for calculating the properties of an interacting system under an external potential by associating it with a corresponding non-interacting system. Here, we find some relations in…

化学物理 · 物理学 2009-11-10 Junzo Chihara , Mitsuru Yamagiwa

A new reference state for density functional theory, termed the independent atom ansatz, is introduced in this work. This ansatz allows for the exact representation of electron density in terms of non-interacting, atom-localized orbitals.…

化学物理 · 物理学 2024-05-03 Alexander V. Mironenko

We introduce a non-equilibrium density-functional theory of local temperature and associated local energy density that is suited for the study of thermoelectric phenomena. The theory rests on a local temperature field coupled to the…

强关联电子 · 物理学 2014-05-16 F. G. Eich , M. Di Ventra , G. Vignale

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. The Kohn-Sham equations are solved numerically for different values of electron densities and filling factors. The critical…

介观与纳米尺度物理 · 物理学 2023-06-16 A. A. Vasilchenko

A system of two initially homogeneous, physically real fields uniformly attracted to each other is considered as the simplest basis of the self-developing world structure. It is shown that the system is unstable against periodic cycles of…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

The Lieb-Schultz-Mattis (LSM) theorem asserts that microscopic details of the system can impose non-trivial constraints on the system's low-energy properties. While traditionally applied to short-range interaction systems, where locality…

强关联电子 · 物理学 2024-07-19 Yi-Neng Zhou , Xingyu Li

A Kohn-Sham density-functional energy expression is derived for any (ground or excited) state within a given many-electron ensemble along with the stationarity condition it fulfills with respect to the ensemble density, thus giving access…

化学物理 · 物理学 2025-01-22 Emmanuel Fromager

For a three-electron system with finite-strength interactions confined to a one-dimensional harmonic trap, we solve the Schroedinger equation analytically to obtain the exact solutions, from which we construct explicitly the simultaneous…

介观与纳米尺度物理 · 物理学 2018-11-14 Taichi Kosugi , Yu-ichiro Matsushita

Ensemble density functional theory extends the usual Kohn-Sham machinery to quantum state ensembles involving ground- and excited states. Recent work by the authors [Phys. Rev. Lett. 119, 243001 (2017); 123, 016401 (2019)] has shown that…

强关联电子 · 物理学 2020-01-28 Tim Gould , Stefano Pittalis

Hubertus J. J. van Dam [Phys. Rev. A 93, 052512, 2016] claims that the one-particle reduced density matrix (1RDM) of an interacting system can be represented by means of a single-determinant wavefunction of fictitious non-interacting…

化学物理 · 物理学 2017-10-20 Mario Piris , Katarzyna Pernal

Density functional theory (DFT) has become a basic tool for the study of electronic structure of matter, in which the Hohenberg-Kohn theorem plays a fundamental role in the development of DFT. Unfortunately, the existing proofs are…

量子物理 · 物理学 2011-08-24 Aihui Zhou

This work explores the use of joint density-functional theory, a new form of density-functional theory for the ab initio description of electronic systems in thermodynamic equilibrium with a liquid environment, to describe electrochemical…

材料科学 · 物理学 2015-06-05 Kendra Letchworth-Weaver , T. A. Arias

The density functional theory originally developed by Hohenberg, Kohn and Sham provides a rigorous conceptual framework for dealing with inhomogeneous interacting Fermi systems. We extend this approach to deal with inhomogeneous interacting…

凝聚态物理 · 物理学 2015-06-25 A. Griffin

Reducing the many-fermion problem to a set of single-particle (s.p.) equations, the Kohn-Sham (KS) theory has provided a practical tool to implement \textit{ab initio} calculations of ground-state energies and densities in many-electron…

量子物理 · 物理学 2023-09-18 H. Nakada