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Although density functional theory (DFT) in principle includes even long-range interactions, standard implementations employ local or semi-local approximations of the interaction energy and fail at describing the van der Waals interactions.…

Soft Condensed Matter · Physics 2007-05-23 S. D. Chakarova , E. Schroder

Scalar cosmological perturbations are investigated in the framework of a model with interacting dark energy and dark matter. In addition to these constituents, the inhomogeneous Universe is supposed to be filled with the standard…

General Relativity and Quantum Cosmology · Physics 2015-07-24 Maxim Eingorn , Claus Kiefer

We investigate transport through molecular wires whose energy levels are affected by environmental fluctuations. We assume that the relevant fluctuations are so slow that they, within a tight-binding description, can be described by…

Mesoscale and Nanoscale Physics · Physics 2008-07-09 Franz J. Kaiser , Peter Hänggi , Sigmund Kohler

We investigate a recently developed approach [P. L. Silvestrelli, Phys. Rev. Lett. 100, 053002 (2008); J. Phys. Chem. A 113, 5224 (2009)] that uses maximally localized Wannier functions to evaluate the van der Waals contribution to the…

Materials Science · Physics 2012-06-12 Lampros Andrinopoulos , Nicholas D. M. Hine , Arash A. Mostofi

At short distances, energy eigenfunctions of chaotic systems have spatial correlations that are well described by assuming a microcanonical density in phase space for the corresponding Wigner function. However, this is not correct on large…

chao-dyn · Physics 2007-05-23 Mark Srednicki

The Lifshitz theory of the van der Waals force is extended for the case of an atom (molecule) interacting with a plane surface of an uniaxial crystal or with a long solid cylinder or cylindrical shell made of isotropic material or uniaxial…

Quantum Physics · Physics 2009-11-11 E. V. Blagov , G. L. Klimchitskaya , V. M. Mostepanenko

I discuss the quantum dynamics of strongly disordered quantum systems with critically long range interactions, decaying as $1/r^{2d}$ in $d$ spatial dimensions. I argue that, contrary to expectations, localization in such systems is stable…

Disordered Systems and Neural Networks · Physics 2022-08-25 Rahul Nandkishore

The combination of density functional theory with other approaches to the many-electron problem through the separation of the electron-electron interaction into a short-range and a long-range contribution is a promising method, which is…

Materials Science · Physics 2009-11-11 Paola Gori-Giorgi , Andreas Savin

A generalization of the quantum van der Waals equation of state for a multi-component system in the grand canonical ensemble is proposed. The model includes quantum statistical effects and allows to specify the parameters characterizing…

Chains with long-range interactions are considered. The interactions are defined such that each nth particle interacts only with chain particles with the numbers n+a(m) and n-a(m), where m=1,2,3,... and a(m) is an integer-valued function.…

Mathematical Physics · Physics 2009-11-13 Vasily E. Tarasov

Stacking-dependent interlayer interactions are important for understanding the structural and electronic properties in incommensurable two dimensional material assemblies where long-range moir\'e patterns arise due to small lattice constant…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Nicolas Leconte , Jeil Jung , Sébastien Lebègue , Tim Gould

Recent experiments show that charge-density-wave correlations are prevalent in underdoped cuprate superconductors. The correlations are short ranged at weak magnetic fields but their intensity and spatial extent increase rapidly at low…

Superconductivity · Physics 2016-01-20 Yosef Caplan , Gideon Wachtel , Dror Orgad

We develop an instanton technique for calculations of correlation functions characterizing statistical behavior of the elastic string in disordered media and apply the proposed approach to correlations of string free energies corresponding…

Soft Condensed Matter · Physics 2009-11-07 Ya. M. Blanter , V. M. Vinokur

Cross-correlations are usually considered to emerge through interaction between particles. Here we present a mechanism capable to generate power-law cross-correlations between non-interacting particles exposed to an external potential. This…

Chaotic Dynamics · Physics 2013-03-18 Fotis K. Diakonos , Alexandros K. Karlis , Peter Schmelcher

We performed first-principles calculations aimed to investigate the role of an heteroatom like N in the chemical and the long-range van der Waals (vdW) interactions for a flat adsorption of several pi-conjugated molecules on the Cu(110)…

Materials Science · Physics 2008-11-20 N. Atodiresei , V. Caciuc , P. Lazic , S. Blugel

We compute the $T=0K$ Van der Waals (nonretarded Casimir) interaction energy $E$ between two infinitely long, crossed conducting wires separated by a minimum distance $D$ much greater than their radius. We find that, up to a logarithmic…

Other Condensed Matter · Physics 2013-05-29 John F. Dobson , Timothy Gould , Israel Klich

Coupled wave equations are popular tool for investigating longitudinal dynamical effects in semiconductor lasers, for example, sensitivity to delayed optical feedback. We study a model that consists of a hyperbolic linear system of partial…

Dynamical Systems · Mathematics 2013-08-12 Jan Sieber

We derive exact results for the fluctuations in energy produced by microscopic disorder in near-crystalline athermal systems. Our formalism captures the heterogeneity in the elastic energy of polydispersed soft disks in energy-minimized…

Soft Condensed Matter · Physics 2021-11-05 Pappu Acharya , Debankur Das , Surajit Sengupta , Kabir Ramola

Ubiquitous van der Waals (vdW) interactions play a subtle yet crucial role in determining the precise atomic arrangements in solids, particularly in molecular crystals where these weak forces are the primary link between constituent…

In principle, density functional theory yields the correct ground-state densities and energies of electronic systems under the action of a static external potential. However, traditional approximations fail to include Van der Waals energies…

Condensed Matter · Physics 2016-08-31 Walter Kohn , Yigal Meir , Dmitrii E. Makarov