Finite Temperature Scaling of the Free Energy Density Functional

ORAL

Abstract

Recently, we reported exact scaling relations and related bounds and inequalities for the non-interacting (``Kohn-Sham'') free-energy density functional [Phys. Rev. B \textbf{84}, 125118 (2011)]. Here we extend the analysis to obtain similar results for the full,interacting functional. The extension is obtained by dimensionless analysis for the case of $v$-representable densities. Connection with the corresponding ground-state scaling is made.

*Work supported under US DOE Grant DE-SC0002139.

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Authors

  • James Dufty

    • Department of Physics, University of Florida

  • Valentin V. Karasiev

    • Department of Physics, University of Florida
    • Quantum Theory Project, Physics Dept. U. Florida

  • S.B. Trickey

    • QTP, Physics and Chemistry, U. Florida
    • Department of Physics, University of Florida
    • Quantum Theory Project, Physics \& Chemistry, U. Florida
    • University of Florida
    • Quantum Theory Project, Physics Dept. U. Florida
    • Quantum Theory Project, University of Florida