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We consider the two-dimensional two-component plasma, or Coulomb gas, consisting of $N$ positive and $N$ negative charges with logarithmic interaction. We introduce a suitable regularization of the interaction by smearing the charges over a…

Mathematical Physics · Physics 2024-10-03 Jeanne Boursier , Sylvia Serfaty

Most nuclear structure calculations, even for full configuration interaction approaches, are performed within truncated model spaces. These require consistent transformations of the Hamiltonian and operators to account for the missing…

Nuclear Theory · Physics 2019-08-21 Francesco Raimondi , Carlo Barbieri

The $r^{-n}$ interaction energy, $1\leq n< 3$, for a infinitely periodic system with explicit charges and a neutralizing, uniform background charge density is derived. An Ewald based expression for this energy has an extra term proportional…

Materials Science · Physics 2007-05-23 Minghong G. Wu

Coupled elliptic quantum dots with different aspect ratios containing up to two electrons are studied using a model confinement potential in the presence of magnetic fields. Single and two particle Schroedinger equations are solved using…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. -X. Zhang , D. V. Melnikov , J. -P. Leburton

Coulomb interactions are present in a wide variety of all-atom force fields. Spherical truncations of these interactions permit fast simulations but are problematic due to their incorrect thermodynamics. Herein we demonstrate that simple…

Statistical Mechanics · Physics 2015-05-14 Jocelyn M. Rodgers , John D. Weeks

We determine the interaction potential of a solitonic dipole in the singlet state, modeled as an SU(2) field, using improved lattice simulations of two stationary solitons at varying separations. The potential is extracted from the energy…

High Energy Physics - Lattice · Physics 2026-04-15 Manfried Faber , Rudolf Golubich

We introduce and analyze $d$ dimensional Coulomb gases with random charge distribution and general external confining potential. We show that these gases satisfy a large deviations principle. The analysis of the minima of the rate function…

Mathematical Physics · Physics 2015-06-18 Luis Carlos Garcia del Molino , Khashayar Pakdaman , Jonathan Touboul

The dynamical response theory is used to obtain an analytical expression for the exchange energy of a quantum wire for arbitrary polarization and width. It reproduces the known form of exchange energy for 1D electron gas in the limit of…

Strongly Correlated Electrons · Physics 2020-02-26 Vinod Ashokan , Renu Bala , Klaus Morawetz , Kare N. Pathak

An instantaneous and zero-range spin-dependent interaction, derived by summing an infinite number of electron-hole ladder diagrams within a local approximation, is analyzed as a function of the electron gas density and the relative spin…

Other Condensed Matter · Physics 2007-05-23 I. A. Nechaev , I. Nagy , P. M. Echenique , E. V. Chulkov

We analyzed the localized charge dynamics in the system of $N$ interacting single-level quantum dots (QDs) coupled to the continuous spectrum states in the presence of Coulomb interaction between electrons within the dots. Different dots…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 Vladimir Mantsevich , Natalya Maslova , Petr Arseyev

Describing the Coulomb interactions between electrons in atomic or molecular systems is an important step to help us obtain accurate results for the different observables in the system. One convenient approach is to separate the dynamic…

Chemical Physics · Physics 2025-01-22 Claude Le Sech , Antonio Sarsa

Individual cationic site--energies are explicitly determined from molecular dynamics simulations of alkali silicate glasses, and the properties and relevance of this local energetics to ion transport are studied. The absence of relaxations…

Materials Science · Physics 2015-05-14 H. Lammert , R. D. Banhatti , A. Heuer

We use a recent approach [Phys. Rev. Letters, {\bf 84}, 959 (2000)] for including Coulomb interactions in quantum systems via a classical mapping of the pair-distribution functions (PDFs) for a study of the 2-D electron gas. As in the 3-D…

Strongly Correlated Electrons · Physics 2009-11-07 François Perrot , M. W. C. Dharma-wardana

In this work we present a model for the determination of the interaction energy for triplet and singlet states in atoms with incomplete filled shells. Our model includes the modification of the Coulomb's law by the interaction between the…

Strongly Correlated Electrons · Physics 2014-06-03 V. Dolocan , V. O. Dolocan

We investigate end-effects in the ion distribution around strongly charged, flexible polyelectrolytes with a quenched charge distribution by molecular dynamics simulations of dilute polyelectrolyte solutions. We take the counterions…

Soft Condensed Matter · Physics 2015-06-24 Hans Jörg Limbach , Christian Holm

The model under consideration is an asymmetric two-dimensional Coulomb gas of positively (q_1=+1) and negatively (q_2=-1/2) charged pointlike particles, interacting via a logarithmic potential. This continuous system is stable against…

Statistical Mechanics · Physics 2007-05-23 L. Samaj

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

We study the interaction of electrons with phonons in strongly correlated solids, having high-T_c cuprates in mind. Using sum-rules, we show that the apparent strength of this interaction strongly depends on the property studied. If the…

Strongly Correlated Electrons · Physics 2007-05-23 O. Rösch , O. Gunnarsson

We investigate the thermoelectric transport properties of an interacting parallel double quantum dot in the Coulomb-blockade regime. Building on an analytical solution based on an equation-of-motion technique, we extend the formalism for…

Mesoscale and Nanoscale Physics · Physics 2025-10-24 Nahual Sobrino

We present a unified framework for studying Coulomb interactions in arbitrary environments using macroscopic quantum electrodynamics on the basis of the electromagnetic Green's function. Our theory can be used to derive the Coulomb…

Quantum Physics · Physics 2020-09-03 Pablo Barcellona , Robert Bennett , Stefan Yoshi Buhmann