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The strong-coupling perturbation theory (SCPT) for correlated electron systems is extended to the case of full Coulomb interaction. The Coulomb mechanism of the orbital polarization is discussed and attention is paid to the importance of…

Strongly Correlated Electrons · Physics 2007-05-23 I. Sandalov , U. Lundin , O. Eriksson

We construct and apply an exchange-correlation functional for the one-dimensional Hubbard model. This functional has built into it the Luttinger-liquid and Mott-insulator correlations, present in the Hubbard model, in the same way in which…

Strongly Correlated Electrons · Physics 2007-05-23 K. Capelle , N. A. Lima , M. F. Silva , L. N. Oliveira

We introduce an approximation to the short-range correlation energy functional with multide-terminantal reference involved in a variant of range-separated density-functional theory. This approximation is a local functional of the density,…

Chemical Physics · Physics 2019-03-27 Anthony Ferté , Emmanuel Giner , Julien Toulouse

The most challenging scenario for Kohn-Sham density functional theory, that is when the electrons move relatively slowly trying to avoid each other as much as possible because of their repulsion (strong-interaction limit), is reformulated…

Strongly Correlated Electrons · Physics 2015-06-05 Giuseppe Buttazzo , Luigi De Pascale , Paola Gori-Giorgi

The capability of density-functional theory to deal with the ground-state of strongly correlated low-dimensional systems, such as semiconductor quantum dots, depends on the accuracy of functionals developed for the exchange and correlation…

Strongly Correlated Electrons · Physics 2009-02-25 S. Pittalis , E. Rasanen , C. Proetto , E. K. U. Gross

By propagating the many-body Schr\"odinger equation, we determine the exact time-dependent Kohn-Sham potential for a system of strongly correlated electrons which undergo field-induced tunneling. Numerous features are entirely absent from…

Strongly Correlated Electrons · Physics 2021-01-15 Matthew J. P. Hodgson , James D. Ramsden , Jacob B. J. Chapman , Piers Lillystone , Rex W Godby

By decomposing the Coulomb interaction into a long distance component appropriate for mean-field theory, and a nonmean-field short distance component, we compute the counterion density near a charged surface for all values of the counterion…

Soft Condensed Matter · Physics 2009-11-11 Christian D. Santangelo

The term "long-range interactions" refers to electrostatic and magnetostatic potential energies between atoms and molecules with mutual distances ranging from a few tens to a few hundreds Bohr radii. The involved energies are much smaller…

Quantum Physics · Physics 2017-04-11 Maxence Lepers , Olivier Dulieu

Recent progress in the formulation of a fully dynamical local approximation to time-dependent Density Functional Theory appeals to the longitudinal and transverse components of the exchange and correlation kernel in the linear…

Condensed Matter · Physics 2008-12-18 R. Nifosi' , S. Conti , M. P. Tosi

We investigate two key representative semiclassical approaches for propagating resonant energy transfer between a pair of electronic two-level systems (donor and acceptor) with coupled Maxwell-Liouville equations. On the one hand, when the…

Chemical Physics · Physics 2018-10-03 Tao E. Li , Hsing-Ta Chen , Abraham Nitzan , Maxim Sukharev , Joseph E. Subotnik

In the framework of density-functional theory, several popular density functionals for exchange and correlation have been constructed to satisfy a local form of the Lieb-Oxford bound. In its original global expression, the bound represents…

Other Condensed Matter · Physics 2012-05-31 J. G. Vilhena , E. Rasanen , L. Lehtovaara , M. A. L. Marques

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…

Strongly Correlated Electrons · Physics 2020-02-26 Vinod Ashokan , Renu Bala , Klaus Morawetz , Kare N. Pathak

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…

Mesoscale and Nanoscale Physics · Physics 2012-05-30 Ilja Makkonen , Mikko M. Ervasti , Ville Kauppila , Ari Harju

The present contribution reports the first systematic finite-nucleus calculations performed using the Energy Density Functional method and a non-empirical pairing functional derived from low-momentum interactions. As a first step, the…

Nuclear Theory · Physics 2008-11-26 T. Duguet , T. Lesinski

By using the recently generalized version of Newton Shell Theorem analytical equations are derived to calculate the electric interaction energy between two separated charged spheres surrounded outside and inside by electrolyte. This…

Soft Condensed Matter · Physics 2021-03-26 István P. Sugár

A range-separation of the Coulomb hole into two components, one of them being predominant at long interelectronic separations (hcI ) and the other at short distances (hcII ), is exhaustively analyzed throughout various examples that put…

Chemical Physics · Physics 2022-05-25 Mireia Via-Nadal , Mauricio Rodríguez-Mayorga , Eloy Ramos-Cordoba , Eduard Matito

The analytic expression for the cross section of low-energy electron scattering in a strong Coulomb field is obtained. It is shown that in a wide energy region this cross section differs essentially from that obtained in the first Born…

Atomic Physics · Physics 2007-05-23 A. I. Milstein , I. S. Terekhov

The correlation energy in density functional theory can be expressed exactly in terms of the change in the probability of finding two electrons at a given distance $r_{12}$ (intracule density) when the electron-electron interaction is…

Other Condensed Matter · Physics 2017-08-23 Paola Gori-Giorgi , Michael Seidl , Andreas Savin

We study the energetic properties of finite but internally homogeneous D-dimensional electron droplets in the strict-correlation limit. The indirect Coulomb interaction is found to increase as a function of the electron number, approaching…

Strongly Correlated Electrons · Physics 2011-05-11 E. Rasanen , M. Seidl , P. Gori-Giorgi

We use a density-functional theoretical approach to set up a computationally simple self-consistent scheme to calculate the pair distribution functions and the effective interactions in quantum Coulomb liquids. We demonstrate the accuracy…

Strongly Correlated Electrons · Physics 2007-05-23 B. Davoudi , M. Polini , R. Asgari , M. P. Tosi
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