710 research outputs found
Spin-density functional approach to thermodynamic and structural consistence in the charge and spin response of an electron gas
We use spin-density functional theory to obtain novel expressions for the
charge and spin local-field factors of an electron gas in terms of its
electron-pair structure factors. These expressions (i) satisfy the
compressibility and spin susceptibility sum rules; (ii) keep account of kinetic
correlations by means of an integration over the coupling strength; and (iii)
provide a practical self-consistent scheme for evaluating linear response and
liquid structure. Numerical illustrations are given for the dielectric response
of the paramagnetic electron gas in both three and two dimensions.Comment: 9 pages, 3 figures, submitted to Solid State Commu
Self-consistent Overhauser model for the pair distribution function of an electron gas at finite temperature
We present calculations of the spin-averaged pair distribution function
in a homogeneous gas of electrons moving in dimensionality D=3 or D=2 at
finite temperature. The model involves the solution of a two-electron
scattering problem via an effective potential which embodies many-body effects
through a self-consistent Hartree approximation, leading to two-body wave
functions to be averaged over a temperature-dependent distribution of relative
momentum for electron pairs. We report illustrative numerical results for
in an intermediate-coupling regime and interpret them in terms of
changes of short-range order with increasing temperature.Comment: 6 pages, 5 figures, submitted to Solid State Communication
Pair densities at contact in the quantum electron gas
The value of the pair distribution function g(r) at contact (r = 0) in a
quantum electron gas is determined by the scattering events between pairs of
electrons with antiparallel spins. The theoretical results for g(0) as a
function of the coupling strength r_s in the paramagnetic electron gas in
dimensionality D=2 and 3, that have been obtained from the solution of the
two-body scattering problem with a variety of effective scattering potentials
embodying many-body effects, are compared with the results of many-body
calculations in the ladder approximation and with quantum Monte Carlo data.Comment: 7 pages, 2 figure
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