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Classical Coulomb systems at equilibrium, bounded by a plane dielectric wall, are studied. A general two-point charge correlation function is considered. Valid for any fixed position of one of the points, a new relation is found between the…

Statistical Mechanics · Physics 2007-05-23 B. Jancovici , L. Šamaj

Adsorbed transition metal atoms can have partially filled $d$- or $f$-shells due to strong on-site Coulomb interaction. Capturing all effects originating from electron correlation in such strongly correlated systems is a challenge for…

Strongly Correlated Electrons · Physics 2018-01-17 Marc Philipp Bahlke , Michael Karolak , Carmen Herrmann

We present a new ab initio method for calculating effective onsite Coulomb interactions of itinerant and strongly correlated electron systems. The method is based on constrained local density functional theory formulated in terms of…

Strongly Correlated Electrons · Physics 2009-11-11 Kazuma Nakamura , Ryotaro Arita , Yoshihide Yoshimoto , Shinji Tsuneyuki

Internal properties of a sample can be observed by medical imaging tools, such as ultrasound devices, magnetic resonance imaging (MRI) and optical coherence tomography (OCT) which are based on relying on changes in material density or…

Computer Vision and Pattern Recognition · Computer Science 2020-12-22 Mehrdad Shafiei Dizaji , Devin Harris

We study the localization properties of a test dipole feeling the disordered potential induced by dipolar impurities trapped at random positions in an optical lattice. This random potential is marked by correlations which are a convolution…

Quantum Gases · Physics 2013-09-20 M. Larcher , C. Menotti , B. Tanatar , P. Vignolo

Two-dimensional moire superlattices have recently emerged as a fertile ground for creating novel electronic phases of matter with unprecedented control. Despite intensive efforts, theoretical investigation of correlated moire systems has…

Strongly Correlated Electrons · Physics 2020-05-12 Yang Zhang , Hiroki Isobe , Liang Fu

We found analytical solution for the time evolution of localized electron density in a system of two coupled single-level quantum dots (QDs) connected with continuous spectrum states in the presence of Coulomb interaction. This solution…

Mesoscale and Nanoscale Physics · Physics 2013-12-30 P. I. Arseev , N. S. Maslova , V. N. Mantsevich

Simulating charged many-body systems has been a computational demanding task due to the long-range nature of electrostatic interaction. For the multi-scale model of electrolytes which combines the strengths of atomistic/continuum…

Computational Physics · Physics 2022-07-22 Jing Fu , Zecheng Gan

The Dirac-Coulomb equation with positive-energy projection is solved using explicitly correlated Gaussian functions. The algorithm and computational procedure aims for a parts-per-billion convergence of the energy to provide a starting…

Chemical Physics · Physics 2022-03-14 Péter Jeszenszki , Dávid Ferenc , Edit Mátyus

Laser cooled and trapped ions can crystallize and feature discrete solitons, that are nonlinear, topologically-protected configurations of the Coulomb crystal. Such solitons, as their continuum counterparts, can move within the crystal,…

Quantum Physics · Physics 2014-08-04 H. Landa , A. Retzker , T. Schaetz , B. Reznik

We determine the structure and melting behavior of supported metallic clusters using an ab initio density-functional-based treatment of intracluster interactions and an approximate treatment of the surface as an idealized smooth plane…

Mesoscale and Nanoscale Physics · Physics 2012-10-02 S. A. Blundell , Soumyajyoti Haldar , D. G. Kanhere

We investigate one-dimensional periodic chains of alternate type of particles interacting through mirror symmetric potentials. The optimality of the equidistant configuration at fixed density -- also called crystallization -- is shown in…

Optimization and Control · Mathematics 2020-07-13 Laurent Bétermin , Hans Knüpfer , Florian Nolte

The model of two electrons with Coulomb interaction on a two-dimensional (2D) disordered lattice is considered. It is shown that the interaction can give a sharp transition to delocalized states in a way similar to the Anderson transition…

Condensed Matter · Physics 2007-05-23 D. L. Shepelyansky

We describe a simple yet rigorous theoretical model capable of analytical estimation of plasmonic field enhancement in complex metal structures. We show that one can treat the complex structures as coupled multi-pole modes with highest…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Gregory Sun , Jacob Khurgin , Alexander M. Bratkovsky

We discuss how to apply many-body methods to correlated nanoscopic systems, and provide general criteria of validity for a treatment at the dynamical mean field theory (DMFT) approximation level, in which local correlations are taken into…

Strongly Correlated Electrons · Physics 2013-09-16 A. Valli , G. Sangiovanni , A. Toschi , K. Held

A cluster consisting of many atoms or molecules may be considered, in some circustances, to be a single large molecule with a well defined polarizability. Once the polarizability of such a cluster is known, one can evaluate certain…

Materials Science · Physics 2009-11-11 Hye-Young Kim , Jorge O. Sofo , Darrell Velegol , Milton W. Cole , Gautam Mukhopadhyay

We overview recent developments of electronic orderings and associated cross correlations in condensed matter physics based on a complete set of multipole representations (electric, magnetic, electric toroidal, and magnetic toroidal…

Strongly Correlated Electrons · Physics 2024-12-06 Satoru Hayami , Hiroaki Kusunose

Intense light with frequencies above typical atomic or molecular ionization potentials as provided by free-electron lasers couples many photons into extended targets such as clusters and biomolecules. This implies, in contrast to…

Atomic and Molecular Clusters · Physics 2011-05-25 Christian Gnodtke , Ulf Saalmann , Jan-Michael Rost

A novel approach to electronic correlations and magnetism of crystals based on realistic electronic structure calculations is reviewed. In its simplest form it is a combination of the ``local density approximation'' (LDA) and the dynamical…

Strongly Correlated Electrons · Physics 2007-05-23 A. I. Lichtenstein , M. I. Katsnelson , G. Kotliar

Electrostatic interactions play an important role in numerous self-assembly phenomena, including colloidal aggregation. Although colloids typically have a dielectric constant that differs from the surrounding solvent, the effective…

Soft Condensed Matter · Physics 2018-09-17 Kipton Barros , Erik Luijten