English
Related papers

Related papers: Equation satisfied by electron-electron mutual Cou…

200 papers

We study non-linear adiabatic connection paths in density-functional theory using modified electron-electron interactions that perform a long-range/short-range separation of the Coulomb interaction. These adiabatic connections allows to…

Chemical Physics · Physics 2009-11-11 Julien Toulouse , Francois Colonna , Andreas Savin

A simple approximate expression in real and reciprocal spaces is given for the static exchange-correlation kernel of a uniform electron gas interacting with the long-range part only of the Coulomb interaction. This expression interpolates…

Materials Science · Physics 2009-11-11 Julien Toulouse

We point out that a typical two-electron distribution function in atoms and molecules often called the intracule depends sensitively on the electron-electron repulsion which leads to the so-called Coulomb correlation. The difference between…

Atomic Physics · Physics 2020-05-13 Golam Ali Sekh , Benoy Talukdar , Supriya Chatterjee

A set of effective electronic-only Kohn-Sham (EKS) equations are derived for the muonic molecules (containing a positively charged muon), which are completely equivalent to the coupled electronic-muonic Kohn-Sham equations derived…

Atomic and Molecular Clusters · Physics 2018-05-09 Milad Rayka , Mohammad Goli , Shant Shahbazian

We study the thermal conductivity of the disordered two-dimensional electron gas. To this end we analyze the heat density-heat density correlation function concentrating on the scattering processes induced by the Coulomb interaction in the…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 G. Schwiete , A. M. Finkel'stein

Based on recent progress on fermionic exchange symmetry we propose a way to develop new functionals for reduced density matrix functional theory. For some settings with an odd number of electrons, by assuming saturation of the inequalities…

Strongly Correlated Electrons · Physics 2018-10-23 Carlos L. Benavides-Riveros , Miguel A. L. Marques

In this work we give a comprehensive derivation of an exact and numerically feasible method to perform ab-initio calculations of quantum particles interacting with a quantized electromagnetic field. We present a hierachy of…

The unique property of Coulomb interaction in strict one-dimensional (1D) system is revealed that the Coulomb repulsion energy of paired electrons is divergent. As consequences, electrons in 1D system can not doubly occupy the same spatial…

Strongly Correlated Electrons · Physics 2011-08-23 Yongxi Zhou

Most treatments of electron-electron correlations in dense plasmas either ignore them entirely (random phase approximation) or neglect the role of ions (jellium approximation). In this work, we go beyond both these approximations to derive…

Plasma Physics · Physics 2020-02-05 Nathaniel R. Shaffer , Charles E. Starrett

At low reduced electric fields the electron energy distribution function in heavy noble gases can take two distinct shapes. This "bistability effect" - in which electron-electron (Coulomb) collisions play an essential role - is analyzed…

Plasma Physics · Physics 2015-06-16 Nikolay Dyatko , Zoltan Donko

We develop a linear theory of electron transport for a system of two identical quantum wires in a wide range of the wire length L, unifying both the ballistic and diffusive transport regimes. The microscopic model, involving the interaction…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 O. E. Raichev , P. Vasilopoulos

It is shown that in adiabatic approximation for nuclei the many-component Coulomb system cannot be described on the basis of the grand canonical ensemble. Using the variational Bogolyubov's procedure for the free energy, the Hohenberg-Kohn…

Statistical Mechanics · Physics 2010-04-07 V. B. Bobrov , S. A. Trigger

Time-dependent density functional theory is extended to include dissipative systems evolving under a master equation, providing a Hamiltonian treatment for molecular electronics. For weak electric fields, the isothermal conductivity is…

Materials Science · Physics 2007-05-23 Kieron Burke , Roberto Car , Ralph Gebauer

The effects on the non-relativistic dynamics of a system compound by two electrons interacting by a Coulomb potential and with an external harmonic oscillator potential, confined to move in a two dimensional Euclidean space, are…

Quantum Physics · Physics 2021-10-19 F. Caruso , J. Martins , V. Oguri

The Coulomb Green's function (GF) for non-relativistic charged particle in field of attractive Coulomb force is extended to describe the interaction of two non-relativistic electrons through repulsive Coulomb forces. Closed-form expressions…

Quantum Physics · Physics 2023-10-26 Tomasz M. Rusin

A novel approach to the description of superconductors in thermal equilibrium is developed within a formally exact density-functional framework. The theory is formulated in terms of three ``densities'': the ordinary electron density, the…

The role of the discontinuity of the exchange-correlation potential of density functional theory is studied in the context of electron transport and shown to be intimately related to Coulomb blockade. By following the time evolution of an…

Mesoscale and Nanoscale Physics · Physics 2010-06-08 S. Kurth , G. Stefanucci , E. Khosravi , C. Verdozzi , E. K. U. Gross

We report a local, weight-dependent correlation density-functional approximation that incorporates information about both ground and excited states in the context of density-functional theory for ensembles (eDFT). This density-functional…

Chemical Physics · Physics 2020-06-05 Pierre-François Loos , Emmanuel Fromager

An approximation for the unknown two-electron wavefunctions (geminals) of the interacting uniform electron gas is found, starting from the effective screened Coulomb potential proposed by Overhauser [Can. J. Phys. 73, 683 (1995)]. The…

Condensed Matter · Physics 2007-05-23 Paola Gori-Giorgi

We present and discuss some ideas concerning an ``average-pair-density functional theory'', in which the ground-state energy of a many-electron system is rewritten as a functional of the spherically and system-averaged pair density. These…

Materials Science · Physics 2009-11-11 Paola Gori-Giorgi , Andreas Savin
‹ Prev 1 3 4 5 6 7 10 Next ›