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A method is presented, which employs the density matrix renormalization group technique in order to construct exact ground state exchange correlation functionals for models of correlated electron systems coupled to external reservoirs. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Peter Schmitteckert , Ferdinand Evers

We critically reexamine the problem of interatomic exchange interactions, which describe the total energy change caused by infinitesimal rotations of spins near some equilibrium state. For the small variations, such interactions can be…

Materials Science · Physics 2021-03-24 I. V. Solovyev

A description of non-collinear magnetism in the framework of spin-density functional theory is presented for the exact exchange energy functional which depends explicitly on two-component spinor orbitals. The equations for the effective…

I summarize Density Functional Theory (DFT) in a language familiar to quantum field theorists, and introduce several apparently novel ideas for constructing {\it systematic} approximations for the density functional. I also note that, at…

Materials Science · Physics 2015-03-11 T. Banks

Recent progress in the microscopic description of rotational properties within covariant density functional theory (CDFT) is presented. It is shown that it provides an accurate description of rotational bands both in the paired regime at…

Nuclear Theory · Physics 2015-06-18 A. V. Afanasjev

The practical success of density functional theory (DFT) is largely credited to the Kohn-Sham approach, which enables the exact calculation of the non-interacting electron kinetic energy via an auxiliary noninteracting system. Yet, the…

Computational Physics · Physics 2025-03-21 Sangita Majumdar , Zekun Shi , Giovanni Vignale

Density functional theory is the workhorse of modern electronic structure calculations, with wide-ranging applications in chemistry, physics, materials science, and machine learning. At its heart lies the exchange-correlation functional, a…

Chemical Physics · Physics 2026-02-20 Fabien Tran , Susi Lehtola , Stefano Pittalis , Miguel A. L. Marques

A very specific ensemble of ground and excited states is shown to yield an exact formula for any excitation energy as a simple correction to the energy difference between orbitals of the Kohn-Sham ground state. This alternative scheme…

Chemical Physics · Physics 2017-07-26 Zeng-hui Yang , Aurora Pribram-Jones , Kieron Burke , Carsten A. Ullrich

The conventional approaches to the inverse density functional theory problem typically assume non-degeneracy of the Kohn-Sham (KS) eigenvalues, greatly hindering their use in open-shell systems. We present a generalization of the inverse…

Chemical Physics · Physics 2024-01-09 Bikash Kanungo , Jeffrey Hatch , Paul M. Zimmerman , Vikram Gavini

In recent years, the theoretical description of electrical noise and fluctuation-induced effects in electrolytes has gained a renewed interest, enabled by stochastic field theories like stochastic density functional theory (SDFT). Such…

Soft Condensed Matter · Physics 2025-03-25 Pierre Illien , Antoine Carof , Benjamin Rotenberg

The inclusion of nucleonic exchange energy has been a long-standing challenge for the relativistic density functional theory (RDFT) in nuclear physics. We propose an orbital-dependent relativistic Kohn-Sham density functional theory to…

Nuclear Theory · Physics 2023-04-26 Qiang Zhao , Zhengxue Ren , Pengwei Zhao , Tae-Sun Park

Time-dependent density-functional theory (TDDFT) is a powerful tool to study the non-equilibrium dynamics of inhomogeneous interacting many-body systems. Here we show that the simple adiabatic local-spin-density approximation for the…

Strongly Correlated Electrons · Physics 2008-11-11 Wei Li , Gao Xianlong , Corinna Kollath , Marco Polini

Energy gaps are crucial aspects of the electronic structure of finite and extended systems. Whereas much is known about how to define and calculate charge gaps in density-functional theory (DFT), and about the relation between these gaps…

Materials Science · Physics 2015-05-14 K. Capelle , G. Vignale , C. A. Ullrich

The dynamical transverse magnetic Kohn-Sham susceptibility calculated within time-dependent density functional theory shows a fairly linear behavior for a finite energy window. This observation is used to propose a scheme where the…

Materials Science · Physics 2015-06-23 Samir Lounis , Manuel dos Santos Dias , Benedikt Schweflinghaus

We present an alternative to the Kohn-Sham formulation of density functional theory for the ground-state properties of strongly interacting electronic systems. The idea is to start from the limit of zero kinetic energy and systematically…

Strongly Correlated Electrons · Physics 2015-05-13 Paola Gori-Giorgi , Michael Seidl , G. Vignale

Time-dependent density functional theory (TDDFT) is a theory that describes the time evolution of quantum mechanical many-electron systems under the influence of external time-dependent electric and magnetic fields. INQ is a specially…

The magnetic properties of the intermetallic compound FeAl are investigated using exact exchange density functional theory. This is implemented within a state of the art all-electron full potential method. We find that FeAl is magnetic with…

Materials Science · Physics 2007-05-23 S. Sharma , J. K. Dewhurst , C. Persson , S. Shallcross , L. Nordstroem , C. Ambrosch-Draxl

We calculate, via spin density functional theory (SDFT) and exact diagonalization, the eigenstates for electrons in a variety of external potentials, including double and triple dots. The SDFT calculations employ realistic wafer profiles…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Stopa , A. Vidan , T. Hatano , S. Tarucha , R. M. Westervelt

A semi-relativistic density-functional theory that includes spin-orbit couplings and Zeeman fields on equal footing with the electromagnetic potentials, is an appealing framework to develop a unified first-principles computational approach…

Materials Science · Physics 2017-09-13 S. Pittalis , G. Vignale , F. G. Eich

This article is a rough, quirky overview of both the history and present state of the art of density functional theory. The field is so huge that no attempt to be comprehensive is made. We focus on the underlying exact theory, the origin of…

Chemical Physics · Physics 2015-05-20 Aurora Pribram-Jones , David A. Gross , Kieron Burke
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