Free exchange-correlation energy of coupled electron-hole quantum wire system

2019 ◽  
Author(s):  
Akariti Sharma ◽  
Kulveer Kaur ◽  
Vinayak Garg ◽  
R. K. Moudgil
Keyword(s):  
Quantum Wire ◽  
Correlation Energy ◽  
Electron Hole ◽  
Exchange Correlation ◽  
Wire System

Free exchange-correlation energy of an electron quantum wire

2018 ◽  
Author(s):  
Akariti Sharma ◽  
Kulveer Kaur ◽  
Vinayak Garg ◽  
R. K. Moudgil
Keyword(s):  
Quantum Wire ◽  
Correlation Energy ◽  
Exchange Correlation ◽  
Electron Quantum

Mass-asymmetry effects in coupled electron-hole quantum wire system

2010 ◽  
Vol 74 (4) ◽  
pp. 517-525 ◽  
Author(s):  
R. K. Moudgil ◽  
Vinayak Garg ◽  
P. K. Ahluwalia
Keyword(s):  
Quantum Wire ◽  
Electron Hole ◽  
Mass Asymmetry ◽  
Asymmetry Effects ◽  
Wire System

NUMERICAL STUDIES OF BAND GAP RENORMALIZATION IN V-GROOVED NANO-WIRES

2006 ◽  
Vol 20 (15) ◽  
pp. 911-922
Author(s):  
K. NOZARI ◽  
M. MADADI ◽  
N. NARIMANI
Keyword(s):  
Band Gap ◽  
Quantum Wire ◽  
Electron Hole ◽  
Confinement Potential ◽  
Exchange Correlation ◽  
Numerical Studies ◽  
Electron Hole Plasma ◽  
Screened Coulomb Potential ◽  
Nano Wires ◽  
Dynamical Screening

By considering a suitable confinement potential, we calculate the exchange-correlation induced band gap renormalization (BGR) in a V-grooved quantum wire as a function of the electron-hole plasma density and quantum wire width. The leading-order GW dynamical screening approximation is used in the calculation by treating the electron-electron Coulomb interaction and electron-optical phonon interaction. A numerical scheme has been proposed, and the screened Coulomb potential, density of states (profile of charge distribution) and the value of the renormalized gap energy are calculated. We will show that the carrier concentration, the screened confinement potential and the relative band gap renormalization are functions of the ratio of the well width in the x and y directions.

Inelastic scattering at surfaces and interfaces

1986 ◽  
Vol 44 ◽  
pp. 392-393
Author(s):  
R. H. Ritchie ◽  
A. Howie
Keyword(s):  
Inelastic Scattering ◽  
Surface Properties ◽  
Correlation Energy ◽  
Condensed Matter ◽  
Charged Particles ◽  
Condensed Matter Physics ◽  
Optical Phonons ◽  
Exchange Correlation ◽  
Surfaces And Interfaces ◽  
Inelastic Interactions

An important part of condensed matter physics in recent years has involved detailed study of inelastic interactions between swift electrons and condensed matter surfaces. Here we will review some aspects of such interactions.Surface excitations have long been recognized as dominant in determining the exchange-correlation energy of charged particles outside the surface. Properties of surface and bulk polaritons, plasmons and optical phonons in plane-bounded and spherical systems will be discussed from the viewpoint of semiclassical and quantal dielectric theory. Plasmons at interfaces between dissimilar dielectrics and in superlattice configurations will also be considered.

Exchange-Correlation Energy Densities and Response Potentials: Connection Between Two Definitions and Analytical Model for the Strong-Coupling Limit of a Stretched Bond

2019 ◽  
Author(s):  
S. Giarrusso ◽  
Paola Gori-Giorgi
Keyword(s):  
Density Functional Theory ◽  
Strong Coupling ◽  
Density Functional ◽  
Correlation Energy ◽  
Order Term ◽  
Strong Coupling Limit ◽  
Local Form ◽  
Coupling Constant ◽  
Functional Theory ◽  
Exchange Correlation

We analyze in depth two widely used definitions (from the theory of conditional probablity amplitudes and from the adiabatic connection formalism) of the exchange-correlation energy density and of the response potential of Kohn-Sham density functional theory. We introduce a local form of the coupling-constant-dependent Hohenberg-Kohn functional, showing that the difference between the two definitions is due to a corresponding local first-order term in the coupling constant, which disappears globally (when integrated over all space), but not locally. We also design an analytic representation for the response potential in the strong-coupling limit of density functional theory for a model single stretched bond.<br>

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