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The repulsive interaction between two atoms at short distances is studied in order to explore the range of validity of standard first-principles simulation techniques and improve the available short-range potentials for the description of…

Materials Science · Physics 2007-05-23 J. M. Pruneda , E. Artacho

A full strength Coulomb interaction between trapped electrons can be felt only in absence of a neutralizing background. In order to study quantum degenerate electrons without such a background, an external trap is needed to compensate for…

Quantum Gases · Physics 2016-05-23 Ronen Kroeze , Jom Luiten , Servaas Kokkelmans

A method is developed for generating pseudopotentials for use in correlated-electron calculations. The paradigms of shape and energy consistency are combined and defined in terms of correlated-electron wave-functions. The resulting energy…

Materials Science · Physics 2017-05-26 John R. Trail , Richard J. Needs

Pseudopotential theory has greatly driven first-principles calculations in materials, replacing the explicit treatment of the chemically inert core electrons with an effective potential acting only on the valence states. This is inherently…

Materials Science · Physics 2026-05-07 Matteo Quinzi , Tommaso Chiarotti , Nicola Marzari

Pseudo-Quantum Electrodynamics (PQED) provides an excellent description of the interaction between charged particles confined to a plane. When we couple pseudo-gauge field with a bosonic matter field, we obtain the so-called Scalar…

High Energy Physics - Theory · Physics 2019-10-23 Ygor Pará , Van Sérgio Alves , Tommaso Macrì , E. C. Marino , Leandro O. Nascimento

Extending our previous work \cite{filinov-etal.jpa03ik} we present a detailed discussion of accuracy and practical applications of finite-temperature pseudopotentials for two-component Coulomb systems. Different pseudopotentials are…

Statistical Mechanics · Physics 2009-11-10 A. V. Filinov , V. O. Golubnychiy , M. Bonitz , W. Ebeling , J. W. Dufty

One approximation is made to describe a M+1 electron many-body wavefunction by a M electron many-body wavefunction and a single electron wavefunction. Under this approximation, we have derived the Coulomb energy which relates the exciton…

Materials Science · Physics 2007-05-23 Lin-Wang Wang

We show that efficient norm-conserving pseudopotentials for electronic structure calculations can be obtained from a polynomial Ansatz for the potential. Our pseudopotential is a polynomial of degree ten in the radial variable and fulfills…

Materials Science · Physics 2018-06-29 Martin Kiffner , Dieter Jaksch , Davide Ceresoli

We make a comparison between the energy levels of the hydrogen atom, calculated by using standard methods, and that by using a modified Coulomb potential due to the interaction between the magnetic moments of the proton and electron. In…

Atomic Physics · Physics 2014-07-09 Voicu Dolocan

An exponential interaction is constructed so that one-dimensional atoms and chains of atoms mimic the general behavior of their three-dimensional counterparts. Relative to the more commonly used soft-Coulomb interaction, the exponential…

Strongly Correlated Electrons · Physics 2016-03-07 Thomas E. Baker , E. Miles Stoudenmire , Lucas O. Wagner , Kieron Burke , Steven R. White

We describe a variational procedure for calculating the energy of an electron gas in which the long-range Coulomb interaction is truncated by the screening effect of a nearby metallic gate. We use this procedure to compute the quantum…

Mesoscale and Nanoscale Physics · Physics 2010-11-15 Brian Skinner , M. M. Fogler

The analysis of correlation energy of the simplest first approximation of a variational method for the intrashell states of two-electron atoms is the purpose of the present work. This method allows to divide energy of atom on Coulomb and…

Atomic Physics · Physics 2008-10-23 V. V. Kavera

The electron self-energy for long-range Coulomb interactions plays a crucial role in understanding the many-body physics of interacting electron systems (e.g. in metals and semiconductors), and has been studied extensively for decades. In…

Strongly Correlated Electrons · Physics 2020-08-25 Yunxiang Liao , Donovan Buterakos , Mike Schecter , Sankar Das Sarma

Charged systems interacting via Coulomb forces can be efficiently simulated by introducing a local, diffusing degree of freedom for the electric field. This paper formulates the continuum electrodynamic equations corresponding to the…

Statistical Mechanics · Physics 2009-11-07 A. C. Maggs

This is a follow-up of our recently proposed work on pseudopotential calculation (Ref. [21]) of atoms and molecules within DFT framework, using cartesian coordinate grid. Detailed results are presented to demonstrate the usefulness,…

Chemical Physics · Physics 2015-05-18 Amlan K. Roy

In correlated electron systems the metallic character of a material can be strongly suppressed near an integer concentration of conduction electrons as Coulomb interactions forbid the double occupancy of local atomic orbitals. While the…

Strongly Correlated Electrons · Physics 2021-05-19 Katherine Driscoll , Arnaud Ralko , Simone Fratini

We derive a generalized zero-range pseudopotential applicable to all partial wave solutions to the Schroedinger equation based on a delta-shell potential in the limit that the shell radius approaches zero. This properly models all higher…

Quantum Physics · Physics 2009-11-10 Rene Stock , Andrew Silberfarb , Eric L. Bolda , Ivan H. Deutsch

Recent high resolution Compton scattering experiments in lithium have shown significant discrepancies with conventional band theoretical results. We present a pseudopotential quantum Monte Carlo study of electron-electron and electron-ion…

Condensed Matter · Physics 2009-10-31 Claudia Filippi , David M. Ceperley

We study the behaviour of total-energy supercell calculations for dipolar molecules and charged clusters. Using a cutoff Coulomb interaction within the framework of a plane-wave basis set formalism, with all other aspects of the method…

Materials Science · Physics 2009-10-30 M. R. Jarvis , I. D. White , R. W. Godby , M. C. Payne

Dipolar Bose and Fermi gases, which are currently being studied extensively experimentally and theoretically, interact through anisotropic, long-range potentials. Here, we replace the long-range potential by a zero-range pseudo-potential…

Atomic Physics · Physics 2009-11-13 K. Kanjilal , J. L. Bohn , D. Blume