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A practical electronic structure method in which a two-body functional is the fundamental variable is constructed. The basic formalism of our method is equivalent to Hartree-Fock density matrix functional theory [M. Levy in {\it Density…

其他凝聚态物理 · 物理学 2008-04-23 Balazs Hetenyi , Andreas W. Hauser

The basis-set correction method based on density-functional theory consists in correcting the energy calculated by a wave-function method with a given basis set by a density functional. This basis-set correction density functional…

化学物理 · 物理学 2023-07-05 Diata Traore , Emmanuel Giner , Julien Toulouse

The dynamical response theory is used to obtain an analytical expression for the exchange energy of a quantum wire for arbitrary polarization and width. It reproduces the known form of exchange energy for 1D electron gas in the limit of…

强关联电子 · 物理学 2020-02-26 Vinod Ashokan , Renu Bala , Klaus Morawetz , Kare N. Pathak

An explicitly orbital-dependent correlation energy functional is proposed, which is to be used in combination with the orbital-dependent exchange energy functional in energy-band calculations. It bears a close resemblance to the…

强关联电子 · 物理学 2009-11-10 Masahiko Higuchi , Hiroshi Yasuhara

We consider electronic exchange and correlation effects in density-functional calculations of two-dimensional systems. Starting from wave function calculations of total energies and electron densities of inhomogeneous model systems, we…

介观与纳米尺度物理 · 物理学 2012-05-30 Ilja Makkonen , Mikko M. Ervasti , Ville Kauppila , Ari Harju

In this work, a new functional is introduced to treat pairing correlations in finite many-body systems. Guided by the projected BCS framework, the energy is written as a functional of occupation numbers. It is shown to generalize the BCS…

核理论 · 物理学 2015-05-18 Denis Lacroix , Guillaume Hupin

Gould and Pittalis [Phys. Rev. Lett. 123, 016401 (2019)] recently revealed a density-driven (DD) correlation energy that is specific to many-electron ensembles and must be accounted for by approximations. We derive in this Letter a general…

化学物理 · 物理学 2020-06-22 Emmanuel Fromager

The central quantity of density functional theory is the so-called exchange-correlation functional. This quantity encompasses all non-trivial many-body effects of the ground-state and has to be approximated in any practical application of…

材料科学 · 物理学 2012-06-29 Miguel A. L. Marques , Micael J. T. Oliveira , Tobias Burnus

We develop an ensemble density functional theory for the fractional quantum Hall effect using a local density approximation. Model calculations for edge reconstructions of a spin-polarized quantum dot give results in good agreement with…

凝聚态物理 · 物理学 2009-10-28 O. Heinonen , M. I. Lubin , M. D. Johnson

The Colle and Salvetti approach [Theoret. Chim. Acta, 37, 329 (1975)] to the calculation of the correlation energy of a system is modified in order to explicitly include into the theory the kinetic contribution to the correlation energy.…

材料科学 · 物理学 2007-05-23 Sebastien Ragot , Pietro Cortona

Conditional-probability density functional theory (CP-DFT) is a formally exact method for finding correlation energies from Kohn-Sham DFT without evaluating an explicit energy functional. We present details on how to generate accurate…

化学物理 · 物理学 2022-05-04 Dennis Perchak , Ryan J. McCarty , Kieron Burke

We propose a simple and accurate model for the electron static structure factors (and corresponding pair-correlation functions) of the 3D unpolarized homogeneous electron gas. Our spin-resolved pair-correlation function is built up with a…

凝聚态物理 · 物理学 2009-10-31 Paola Gori-Giorgi , Francesco Sacchetti , Giovanni B. Bachelet

Electron-electron correlation forms the basis of difficulties encountered in many-body problems. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in this correlation. In an…

量子物理 · 物理学 2022-03-24 Eric Ouma Jobunga

We prove that the electron density function of a real physical system can be uniquely determined by its values on any finite subsystem. This establishes the existence of a rigorous density-functional theory for any open electronic system.…

量子物理 · 物理学 2007-05-23 Xiao Zheng , Fan Wang , GuanHua Chen

Spin-orbit coupling induces a current density in the ground state, which consequently requires a generalization for meta-generalized gradient approximations. That is, the exchange-correlation energy has to be constructed as an explicit…

化学物理 · 物理学 2024-05-09 Yannick J. Franzke , Christof Holzer

These are introductory lectures to some aspects of the physics of strongly correlated electron systems. I first explain the main reasons for strong correlations in several classes of materials. The basic principles of dynamical mean-field…

强关联电子 · 物理学 2009-09-29 Antoine Georges

The Airy gas model of the edge electron gas is used to construct an exchange-energy functional which is an alternative to those obtained in the local density and generalized gradient approximations. Test calculations for rare gas atoms,…

材料科学 · 物理学 2009-10-31 L. Vitos , B. Johansson , J. Kollár , H. L. Skriver

On the basis of the extended classical elasticity theory, we propose universal semi-empirical analytical expressions for the energy and the equation of state for poly-crystalline solids. The validation of the relations has been made by…

材料科学 · 物理学 2026-05-18 O. Bystrenko , B. Ilkiv , S. Petrovska , T. Bystrenko , O. Foia , O. Khyzhun

We theoretically study the effect of electron-electron interactions in one-dimensional partially mixed helical states. These helical states can be realized at the edges of two-dimensional topological insulators with partially broken…

强关联电子 · 物理学 2025-01-03 Zeinab Bakhshipour , Mir Vahid Hosseini

We extend density matrix embedding theory to periodic systems, resulting in an electronic band structure method for solid-state materials. The electron correlation can be captured by means of a local impurity model using various choices of…

强关联电子 · 物理学 2019-09-27 Hung Q. Pham , Matthew R. Hermes , Laura Gagliardi