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The importance of finite-temperature exchange-correlation for warm dense matter calculations

2016/01/31 by Valentin V. Karasiev, Lázaro Calderín, S. B. Trickey · 1 citation
Physics and Astronomy · #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physreve.93.063207

published as Phys. Rev. E 93, 063207 (2016)

arxiv created 2016/05/13 · arxiv updated 2016/06/29

Abstract

Effects of explicit temperature dependence in the exchange-correlation (XC) free-energy functional upon calculated properties of matter in the warm dense regime are investigated. The comparison is between the KSDT finite-temperature local density approximation (TLDA) XC functional [Phys. Rev. Lett. 112, 076403 (2014)] parametrized from restricted path integral Monte Carlo data on the homogeneous electron gas (HEG) and the conventional Monte Carlo parametrization ground-state LDA XC functional (Perdew-Zunger, "PZ") evaluated with T-dependent densities. Both Kohn-Sham (KS) and orbital-free density functional theory (OFDFT) are used, depending upon computational resource demands. Compared to the PZ functional, the KSDT functional generally lowers the direct-current (DC) electrical conductivity of low density Al, yielding improved agreement with experiment. The greatest lowering is about 15% for T= 15 kK. Correspondingly, the KS band structure of low-density fcc Al from KSDT exhibits a clear increase in inter-band separation above the Fermi level compared to the PZ bands. In some density-temperature regimes, the Deuterium equations of state obtained from the two XC functionals exhibit pressure differences as large as 4% and a 6% range of differences. However, the Hydrogen principal Hugoniot is insensitive to explicit XC T-dependence because of cancellation between the energy and pressure-volume work difference terms in the Rankine-Hugoniot equation. Finally, the temperature at which the HEG becomes unstable is T≥ 7200 K for T-dependent XC, a result that the ground-state XC underestimates by about 1000 K.

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