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Exchange Energy of a Strongly Inhomogeneous Electron Gas
Author(s) -
ElMamoun E.,
Ropke G.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220820226
Subject(s) - fermi gas , electron density , electron , electron exchange , physics , fermi energy , condensed matter physics , fermi gamma ray space telescope , atomic physics , local density approximation , energy (signal processing) , exchange interaction , quantum mechanics , electronic structure , ferromagnetism
The problem of exchange energy of a strong inhomogeneous electron gas is treated within a special model. An explicite expression for the density of exchange energy is given in dependence on the electron density as well as the gradient of the electron density, where the electron density and its gradient independently can take any arbitrary value. As a result, the relative difference between this expression and the local density approximation for the exchange energy strongly depend on the fractional change in the electron density over the local Fermi wavelength. The deformation of the Fermi‐hole in a strong inhomogeneous electron gas is considered.