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We devise a nonlocal correlation energy functional that describes the entire range of dispersion interactions in a seamless fashion using only the electron density as input. The new functional is considerably simpler than its predecessors…

Chemical Physics · Physics 2010-12-27 Oleg A. Vydrov , Troy Van Voorhis

A simple and computationally efficient scheme to calculate approximate imaginary-frequency dependent polarizability, hence asymptotic van der Waals coefficient, within density functional theory is proposed. The dynamical dipolar…

Materials Science · Physics 2009-04-20 Huy-Viet Nguyen , Stefano de Gironcoli

We verify that the van der Waals interaction and hence all dispersion interactions for the hydrogen molecule given by: W"= -{A/R^6}-{B/R^8}-{C/R^10}- ..., in which R is the internuclear separation, are exactly soluble. The constants…

Quantum Physics · Physics 2011-08-05 T. C. Choy

Noncovalent van der Waals (vdW) interactions are responsible for a wide range of phenomena in matter. Popular density-functional methods that treat vdW interactions use disparate physical models for these intricate forces, and as a result…

Materials Science · Physics 2020-04-15 Jan Hermann , Alexandre Tkatchenko

We obtained new nonrelativistic expression for the dynamical van der Waals atom -surface interaction energy of very convenient form for different applications. It is shown that classical result (Ferrell and Ritchie, 1980) holds only for a…

Other Condensed Matter · Physics 2011-08-10 G. V. Dedkov , A. A. Kyasov

Long-range exchange and correlation effects, responsible for the failure of currently used approximate density functionals in describing van der Waals forces, are taken into account explicitly after a separation of the electron-electron…

Materials Science · Physics 2009-11-11 Janos G. Angyan , Iann C. Gerber , Andreas Savin , Julien Toulouse

Within the frame of macroscopic quantum electrodynamics in causal media, the van der Waals interaction between an atomic system and an arbitrary arrangement of dispersing and absorbing dielectric bodies including metals is studied. It is…

Quantum Physics · Physics 2007-05-23 Stefan Yoshi Buhmann , Ho Trung Dung , Dirk-Gunnar Welsch

By inferring the dynamic permittivity of different material media from the observations and calculating dynamic electric dipole polarizabilties of the Li through Cs alkali atoms, precise values of $C_3$ coefficients were estimated in Phys.…

Atomic Physics · Physics 2023-10-02 Harpreet Kaur , Vipul Badhan , Bindiya Arora , B. K. Sahoo

We use continuum mechanics [Tao \emph{et al}, PRL{\bf 103},086401] to approximate the dynamic density response of interacting many-electron systems. Thence we develop a numerically efficient exchange-correlation energy functional based on…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 Tim Gould , John F. Dobson

The random-phase approximation with exchange (RPAE) is used with a $B$-spline basis to compute dynamic dipole polarizabilities of noble-gas atoms and several other closed-shell atoms (Be, Mg, Ca, Zn, Sr, Cd, and Ba). From these, values of…

Atomic Physics · Physics 2015-07-08 A. R. Swann , J. A. Ludlow , G. F. Gribakin

Based on a microscopic model, we use a functional integral approach to evaluate the quantum interaction energy between two neutral atoms. Each atom is coupled to the electromagnetic (EM) field via a dipole term, generated by an electron…

Quantum Physics · Physics 2023-07-19 C. D. Fosco , G. Hansen

In this paper we employ all-electron \textit{ab-initio} time-dependent density functional theory based method to calculate the long range dipole-dipole dispersion coefficient (van der Waals coefficient) $C_{6}$ of sodium atom clusters…

Atomic and Molecular Clusters · Physics 2009-11-13 Arup Banerjee , Aparna Chakrabarti , Tapan K. Ghanty

The recent non-local correlation functional of Vydrov and van Voorhis[J. Chem. Phys. 133, 244103 (2010)] is investigated and two new versions of the functional are suggested as being appropriate for describing van der Waals interactions in…

Materials Science · Physics 2012-10-09 Torbjörn Björkman

Van der Waals forces as interactions between neutral and polarisable particles act at small distances between two objects. Their theoretical origin lies in the electromagnetic interaction between induced dipole moments caused by the vacuum…

Chemical Physics · Physics 2019-06-05 Johannes Fiedler , Clas Persson , Mathias Boström , Stefan Y. Buhmann

Recently, the nonlocal van der Waals (vdW) density functionals [M. Dion, H. Rydberg, E. Schroeder, D. C. Langreth, and B. I. Lundqvist, Phys. Rev. Lett. 92, 246401 (2004)] have attracted considerable attention due to their good performance…

Chemical Physics · Physics 2013-08-07 Fabien Tran , Jürg Hutter

A simplification of the VV10 van der Waals density functional [J. Chem. Phys. 133, 244103 (2010)] is made by an approximation of the integrand of the six-dimentional integral in terms of a few products of three-dimensional density-like…

Chemical Physics · Physics 2026-01-21 Dimitri N. Laikov

A systematic approach for the construction of a density functional for van der Waals interactions that also accounts for saturation effects is described, i.e. one that is applicable at short distances. A very efficient method to calculate…

Condensed Matter · Physics 2009-10-31 Henrik Rydberg , Bengt I. Lundqvist , David C. Langreth , Maxime Dion

A scheme within density functional theory is proposed that provides a practical way to generalize to unrestricted geometries the method applied with some success to layered geometries [H. Rydberg, et al., Phys. Rev. Lett. 91, 126402…

Materials Science · Physics 2009-11-10 M. Dion , H. Rydberg , E. Schroder , D. C. Langreth , B. I. Lundqvist

We introduce a class of variational wavefunctions that capture the long-range interaction between neutral systems (atoms and molecules) without changing the diagonal of the density matrix of each monomer. The corresponding energy…

Chemical Physics · Physics 2019-03-26 Derk P. Kooi , Paola Gori-Giorgi

A new implementation is proposed for including van der Waals interactions in Density Functional Theory using the Maximally-Localized Wannier functions. With respect to the previous DFT/vdW-WF method, the present DFT/vdW-WF2 approach, which…

Strongly Correlated Electrons · Physics 2015-06-03 A. Ambrosetti , P. L. Silvestrelli
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