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A fully analytical approximation for the observable characteristics of many-electron atoms is developed via a complete and orthonormal hydrogen-like basis with a single-effective charge parameter for all electrons of a given atom. The basis…

Quantum Physics · Physics 2017-12-06 O. D. Skoromnik , I. D. Feranchuk , A. U. Leonau , C. H. Keitel

A novel dielectric scheme is proposed for strongly coupled electron liquids that handles quantum mechanical effects beyond the random phase approximation level and treats electronic correlations within the integral equation theory of…

Statistical Mechanics · Physics 2023-04-12 Panagiotis Tolias , Federico Lucco Castello , Tobias Dornheim

We report a simulation of the metal-insulator transition in a model of a doped semiconductor that treats disorder and interactions on an equal footing. The model is analyzed using density functional theory. From a multi-fractal analysis of…

Disordered Systems and Neural Networks · Physics 2014-05-13 Yosuke Harashima , Keith Slevin

We report on a theoretical derivation of the electronic dielectric response of semiconductor nanocrystals using a tight-binding framework. Extending to the nanoscale the Hanke and Sham approach [Phys. Rev. B 12, 4501 (1975)] developed for…

Materials Science · Physics 2011-11-09 F. Trani , D. Ninno , G. Iadonisi

The dielectric function method (DFM), which uses a non-adiabatic approach to calculate the critical temperatures for superconductivity, has been quite successful in describing superconductors at low carrier densities. This regime of carrier…

Superconductivity · Physics 2019-10-15 Dietrich Elst , Sergei N. Klimin , Jacques Tempere

Reporting extensions of a recently developed approach to density functional theory with correct long-range be-havior (Phys. Rev. Lett. 94, 043002 (2005)). The central quantities are a splitting functional gamma[n] and a complementary…

Materials Science · Physics 2017-09-13 Ester Livshits , Roi Baer

The gap function $\Delta(\omega)$ carries essential information on both, the pairing glue as well as the pair-breaking processes in a superconductor. Unfortunately, in nearly localized superconductors with a non-constant density of states…

Superconductivity · Physics 2022-06-22 Dušan Kavický , František Herman , Richard Hlubina

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

We extend the quasiclassical formalism for diffusive superconductors by deriving anisotropic (gradient) corrections to the Usadel equation. We demonstrate that in a number of physical situations such corrections may play a crucial role…

Superconductivity · Physics 2015-07-17 Mikhail S. Kalenkov , Andrei D. Zaikin

The dispersion of the dielectric function for wurtzite InN is analytically evaluated in the region near the fundamental energy gap. The real part of the dielectric function has a logarithmic singularity at the absorption edge. This results…

Materials Science · Physics 2009-11-13 L. A. Falkovsky

We use the two-electron wavefunctions (geminals) and the simple screened Coulomb potential proposed by Overhauser [Can. J. Phys. 73, 683 (1995)] to compute the pair-distribution function for a uniform electron gas. We find excellent…

Condensed Matter · Physics 2009-11-07 Paola Gori-Giorgi , John P. Perdew

We study the energetic properties of finite but internally homogeneous D-dimensional electron droplets in the strict-correlation limit. The indirect Coulomb interaction is found to increase as a function of the electron number, approaching…

Strongly Correlated Electrons · Physics 2011-05-11 E. Rasanen , M. Seidl , P. Gori-Giorgi

Using a relativistic mean-field single particle knock-out model for (e,e') reactions on nuclei, we investigate approximate treatments of Coulomb distortion effects and the extraction of longitudinal and transverse structure functions. We…

Nuclear Theory · Physics 2009-11-11 K. S. Kim , L. E. Wright

Using only a limited number of computationally expensive functions, we show a way how to construct accurate and computationally efficient approximations of the Colebrook equation for flow friction. The presented approximations are based on…

Numerical Analysis · Mathematics 2020-09-07 Pavel Praks , Dejan Brkic

Recently it was shown that the calculation of quasiparticle energies using the $G_0W_0$ approximation can be performed without computing explicitly any virtual electronic states, by expanding the Green function and screened Coulomb…

Materials Science · Physics 2020-01-08 Han Yang , Marco Govoni , Giulia Galli

The Schr\"odinger equation in phase space is used to calculate the Wigner function for the Helium atom in the approximation of a system of two oscillators. Dissipation effect is analysed and the non-classicality of the state is studied by…

Quantum Physics · Physics 2016-08-31 H. Dessano , R. G. G. Amorim , S. C. Ulhoa , A. E. Santana

We address the problem of including Coulomb distortion effects in inclusive quasielastic (e,e') reactions using the eikonal approximation. Our results indicate that Coulomb corrections may become large for heavy nuclei for certain…

Nuclear Theory · Physics 2014-11-18 Andreas Aste , Kai Hencken , Juerg Jourdan , Ingo Sick , Dirk Trautmann

The physics of excitons, electron-hole pairs that are bound together by their mutual Coulomb attraction, can to great extent be understood in the framework of the quantum-mechanical hydrogen model. This model has recently been challenged by…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Maxim Trushin , Mark Oliver Goerbig , Wolfgang Belzig

We calculate the one-electron Green's function of the 2D attractive Hubbard model by coupling the electrons to pair fluctuations. The latter are approximated by homogeneous amplitude fluctuations and phase correlations corresponding to the…

Condensed Matter · Physics 2009-10-31 Massimiliano Capezzali , Hans Beck

Motivated by recent experiments, we append long ranged Coulomb interactions to dominant strong local correlations and study the resulting $t$-$J$-$V_C$ model for the 2-dimensional cuprate materials. This model includes the effect of short…

Strongly Correlated Electrons · Physics 2022-06-08 B Sriram Shastry , Michael Arciniaga
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