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Fourth-order gradient contributions in extended Thomas-Fermi theory for noninteracting fermions at finite temperature

Date

1985-12/15

Authors

Geldart, D. J. W.
Sommer, E.

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Abstract

Nonlocal corrections to the free energy of a system of noninteracting fermions are considered within the framework of extended Thomas-Fermi theory. The density and temperature dependence of gradient corrections is given through fourth order in powers of the density gradient. The calculation is based on long-wavelength expansions of linear and nonlinear response functions of a nearly uniform system. Results are given in terms of Fermi-Dirac integrals and convenient forms are given which span the full density and temperature range from the degenerate limit to the classical limit

Description

Keywords

Fermion systems, Free energy, Thomas-Fermi model

Citation

Geldart, D. J. W., and E. Sommer. 1985. "Fourth-order gradient contributions in extended Thomas-Fermi theory for noninteracting fermions at finite temperature." Physical Review B (Condensed Matter) 32(12): 7694-702. Copyright © 1985 American Physical Society.

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