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We derive formulas for the Coulomb matrix within the full-potential linearized augmented-plane-wave (FLAPW) method. The Coulomb matrix is a central ingredient in implementations of many-body perturbation theory, such as the Hartree-Fock and…

Materials Science · Physics 2010-03-01 Christoph Friedrich , Arno Schindlmayr , Stefan Bluegel

Geminal wavefunctions have been employed to model strongly-correlated electrons. These wavefunctions represent products of weakly-correlated pairs of electrons and reasonable approximations are computable with polynomial cost. In…

The use of effective local Coulomb interactions that are dynamical, that is, frequency-dependent, is an efficient tool to describe the effect of long-range Coulomb interactions and screening thereof in solids. The dynamical character of the…

Strongly Correlated Electrons · Physics 2015-12-29 Silke Biermann , Ambroise van Roekeghem

The effective potential theory is a physically motivated method for extending traditional plasma transport theories to stronger coupling. It is practical in the sense that it is easily incorporated within the framework of the Chapman-Enskog…

Plasma Physics · Physics 2015-06-23 Scott D. Baalrud , Kim O. Rasmussen , Jerome Daligault

A second-order Taylor series expansion of the free energy functional provides analytical expressions for the magnetic field dependence of the free energy and of the magnetization of ferrofluids, here modelled by dipolar Yukawa interaction…

Soft Condensed Matter · Physics 2009-11-13 I. Szalai , S. Dietrich

The wavefunction method provides us with a useful tool to describe electron correlations in solids at the ground state. In this paper we review the recent development of the momentum-dependent local ansatz wavefunction (MLA). It is…

Strongly Correlated Electrons · Physics 2015-06-22 Yoshiro Kakehashi , Sumal Chandra , Derwyn Rowlands , M. Atiqur R. Patoary

Strong electron-electron interactions are known to significantly modify the electron-phonon coupling relative to the predictions of density functional theory, but this effect is challenging to calculate with realistic theories of strongly…

Strongly Correlated Electrons · Physics 2025-07-21 David J. Abramovitch , Jennifer Coulter , Sophie Beck , Andrew Millis

Yukawa potentials are often used as effective potentials for systems as colloids, plasmas, etc. When the Debye screening length is large, the Yukawa potential tends to the non-screened Coulomb potential ; in this small screening limit, or…

Soft Condensed Matter · Physics 2010-09-08 Martial Mazars

We describe the potential produced by a point electric charge placed into a constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length. The standard Coulomb law is modified due to the vacuum…

Astrophysics · Physics 2007-05-23 A. E. Shabad , V. V. Usov

We study the interplay between gravitational waves (GWs) from domain wall collapse and the electron electric dipole moment (EDM) in a complex singlet extension of the standard model with dimension-five Yukawa interactions. In this…

High Energy Physics - Phenomenology · Physics 2026-05-05 Hieu The Pham , Eibun Senaha

We analyze wave functions constructed as a sum of product of two-electron functions, or as a polynomial of geminals, to investigate their ability to represent the ground state of a strongly correlated few-body system. The known difficulty…

Chemical Physics · Physics 2018-05-17 Airi Kawasaki , Osamu Sugino

In order to increase the accuracy of the linearized augmented plane wave method (LAPW) we present a new approach where the plane wave basis function is augmented by two different atomic radial components constructed at two different…

Materials Science · Physics 2015-12-10 A. V. Nikolaev , D. Lamoen , B. Partoens

The ground state of the two-dimensional (2D) Hubbard model is investigated by adopting improved wave functions that take into account intersite electron correlation beyond the Gutzwiller ansatz. The ground-state energy is lowered…

Strongly Correlated Electrons · Physics 2016-11-09 Takashi Yanagisawa

A self-consistent-field theory is given for the electronic collective modes of a chain containing a finite number, $N$, of Coulomb-coupled spherical two-dimensional electron gases (S2DE's) arranged with their centers along a straight line,…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Liubov Zhemchuzhna , Godfrey Gumbs , Andrii Iurov , Danhong Huang , Bo Gao

We propose a general approach to reducing basis set incompleteness error in electron correlation energy calculations. The correction is computed alongside the correlation energy in a single calculation by modifying the electron interaction…

Euclidean point-to-point propagators or wall-to-wall correlators related to exchange by an unstable particle(sigma,rho,omega-mesons) are modified by presence of particle width. In particular, the usual method of deriving particle masses…

Nuclear Theory · Physics 2008-11-26 V. V. Flambaum , E. V. Shuryak

The Sommerfeld factor for arbitrary partial wave processes is derived in the non-relativistic limit. The s-wave and p-wave numerical results are presented for the case of Yukawa interactions. An approximate analytic expression is also found…

High Energy Physics - Phenomenology · Physics 2014-11-18 S. Cassel

An explicitly orbital-dependent correlation energy functional is proposed, which is to be used in combination with the orbital-dependent exchange energy functional in energy-band calculations. It bears a close resemblance to the…

Strongly Correlated Electrons · Physics 2009-11-10 Masahiko Higuchi , Hiroshi Yasuhara

Strong correlation effects, such as a dramatic increase in the effective mass of the carriers of electricity, recently observed in the low density electron gas have provided spectacular support for the existence of a sharp metal-insulator…

Strongly Correlated Electrons · Physics 2009-11-13 A. Camjayi , K. Haule , V. Dobrosavljevic , G. Kotliar

We formulate the calculation of the ground-state wavefunction and energy of a system of strongly correlated electrons in terms of scattering matrices. A hierarchy of approximations is introduced which results in an incremental expansion of…

Condensed Matter · Physics 2009-10-31 P. Fulde , H. Stoll , K. Kladko