Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-03-17
J. Phys.: Condens. Matter 9, 4061 (1997)
Physics
Condensed Matter
Statistical Mechanics
IOP-TeX, 21 pages + 7 figures, to appear, J. Phys.: Condens. Matter
Scientific paper
10.1088/0953-8984/9/20/006
Density-functional theory is applied to compute the ground-state energies of quantum hard-sphere solids. The modified weighted-density approximation is used to map both the Bose and the Fermi solid onto a corresponding uniform Bose liquid, assuming negligible exchange for the Fermi solid. The required liquid-state input data are obtained from a paired phonon analysis and the Feynman approximation, connecting the static structure factor and the linear response function. The Fermi liquid is treated by the Wu-Feenberg cluster expansion, which approximately accounts for the effects of antisymmetry. Liquid-solid transitions for both systems are obtained with no adjustment of input data. Limited quantitative agreement with simulation indicates a need for further improvement of the liquid-state input through practical alternatives to the Feynman approximation.
Ashcroft N. W.
Denton Alan R.
Nielaba Peter
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