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We show that the usual sum of $R^{-6}$ contributions from elements separated by distance $R$ can give \emph{qualitatively} wrong results for the electromagnetically non-retarded van der Waals interaction between non-overlapping bodies. This…

Soft Condensed Matter · Physics 2009-11-11 John F. Dobson , Angela White , Angel Rubio

The dispersion energy between extended molecular chains (or equivalently infinite wires) with non-zero band gaps is generally assumed to be expressible as a pair-wise sum of atom-atom terms which decay as $R^{-6}$. Using a model system of…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 Alston J. Misquitta , James Spencer , Anthony J. Stone , Ali Alavi

Recent investigations have highlighted the failure of a sum of $R^{-6}$ terms to represent the dispersion interaction in parallel metallic, anisotropic, linear or planar nanostructures [J. F. Dobson, A. White, and A. Rubio, Phys. Rev. Lett.…

Soft Condensed Matter · Physics 2013-05-29 Angela White , John F. Dobson

We highlight the non-universality of the asymptotic behavior of dispersion forces, such that a sum of inverse sixth power contributions is often inadequate. We analytically evaluate the cross-correlation energy Ec between two pi-conjugated…

Soft Condensed Matter · Physics 2013-05-29 John F. Dobson , Angel Rubio

We consider the dispersion energy of a pair of dipoles embedded in a metallic waveguide with transverse dimension $a$ smaller than the characteristic dipolar wavelength. We find that $a$ sets the scale that separates retarded,…

Quantum Physics · Physics 2013-06-13 Ephraim Shahmoon , Gershon Kurizki

We report very simple and accurate algebraic expressions for the van der Waals (vdW) potentials and the forces between two parallel and crossed carbon nanotubes. The Lennard-Jones potential for two carbon atoms and the method of the smeared…

Materials Science · Physics 2008-12-17 Evgeny G. Pogorelov , Alexander I. Zhbanov , Yia-Chung Chang

It has been established for a long time that the long range van der Waals or thermal Casimir interaction between two semi-infinite dielectrics separated by a distance $H$ is screened by an intervening electrolyte. Here we show how this…

Statistical Mechanics · Physics 2025-01-23 Guangle Du , David S. Dean , Bing Miao , Rudolf Podgornik

We study the van der Waals interaction of a metallic or narrow-gap semiconducting nanowire with a surface, in the regime of intermediate wire-surface distances $(v_{F}/c)L \ll d \ll L $ or $L \ll d \ll (c/v_{F})L $, where $L$ is the…

Strongly Correlated Electrons · Physics 2017-09-27 K. A. Makhnovets , A. K. Kolezhuk

We derive the complete form of the van der Waals dispersion interaction between two infinitely long anisotropic semiconducting/insulating thin cylinders at all separations. The derivation is based on the general theory of dispersion…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. Šiber , R. F. Rajter , R. H. French , W. Y. Ching , V. A. Parsegian , R. Podgornik

We investigate a one--dimensional wire of interacting electrons connected to one--dimensional noninteracting leads in the absence and in the presence of a backscattering potential. The ballistic wire separates the charge and spin parts of…

Strongly Correlated Electrons · Physics 2009-10-31 Inès Safi , H. J. Schulz

The analytical expressions for the van der Waals potential energy and force between two crossed carbon nanotubes are presented. The Lennard-Jones potential for two carbon atoms and the method of the smeared out approximation suggested by…

Materials Science · Physics 2008-11-04 Alexander I. Zhbanov , Evgeny G. Pogorelov , Yia-Chung Chang

Van der Waals interactions between two neutral but polarizable systems at a separation $R$ much larger than the typical size of the systems are at the core of a broad sweep of contemporary problems in settings ranging from atomic, molecular…

High Energy Physics - Phenomenology · Physics 2017-06-14 Nora Brambilla , Vladyslav Shtabovenko , Jaume Tarrús Castellà , Antonio Vairo

We calculate the Casimir interaction energy in $d=2$ spatial dimensions between two (zero-width) mirrors, one flat, and the other slightly curved, upon which {\em imperfect\/} conductor boundary conditions are imposed for an Electromagnetic…

High Energy Physics - Theory · Physics 2015-06-11 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We apply the scattering approach to the Casimir interaction between two dielectric half-spaces separated by an electrolyte solution. We take the nonlocal electromagnetic response of the intervening medium into account, which results from…

Mesoscale and Nanoscale Physics · Physics 2019-09-30 P. A. Maia Neto , F. S. S. Rosa , L. B. Pires , A. B. Marim , A. Canaguier-Durand , R. Guérout , A. Lambrecht , S. Reynaud

We derive van der Waals-London and Casimir forces by calculating the eigenmodes of the electromagnetic field interacting with two semi-infinite bodies (two halves of space) with parallel surfaces separated by distance d. We adopt simple…

Mesoscale and Nanoscale Physics · Physics 2009-11-17 M. Apostol , G. Vaman

We present the results of non-linear tunnelling spectroscopy between an array of independent quantum wires and an adjacent two-dimensional electron gas (2DEG) in a double-quantum-well structure. The two layers are separately contacted using…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Y. Jompol , C. J. B. Ford , I. Farrer , G. A. C. Jones , D. Anderson , D. A. Ritchie , T. W. Silk , A. J. Schofield

We consider the energy level statistics of non-interacting electrons which diffuse in a $ d $-dimensional disordered metallic conductor of characteristic Thouless energy $ E_c. $ We assume that the level distribution can be written as the…

Condensed Matter · Physics 2017-12-07 R. A. Jalabert , J. -L. Pichard , C. W. J. Beenakker

The ground state and excited state resonance dipole-dipole interaction energy between two elongated conducting molecules are explored. We review the current status for ground state interactions. This interaction is found to be of a much…

Chemical Physics · Physics 2025-11-03 Subhojit Pal , Iver Brevik , Mathias Boström

Optical dispersion spectra at energies up to 30 eV play a vital role in understanding the chirality-dependent van der Waals London dispersion interactions of single wall carbon nanotubes (SWCNTs). We use one-electron theory based…

Mesoscale and Nanoscale Physics · Physics 2012-11-02 Rick F. Rajter , Roger H. French , W. Y. Ching , Rudolf Podgornik , V. Adrian Parsegian

The 1%-accurate calculations of the van der Waals interaction between an atom and a cavity wall are performed in the separation region from 3 nm to 150 nm. The cases of metastable He${}^{\ast}$ and Na atoms near the metal, semiconductor or…

Quantum Physics · Physics 2009-11-11 A. O. Caride , G. L. Klimchitskaya , V. M. Mostepanenko , S. I. Zanette
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