Improved Equation of State for Finite-Temperature Spin-Polarized Electron Liquids on the Basis of Singwi-Tosi-Land-Sjolander Approximation

Abstract

An accurate expression for the exchange-correlation free energy f_{xc} of homogeneous electron fluids at finite temperatures is presented on the basis of Singwi-Tosi-Land-Sjolander (STLS) approximation. In addition to the derivation for the paramagnetic state, that for the ferromagnetic state is newly carried out in which a correction in the strong Coulomb coupling regime is incorporated into the construction of analytic expression as a function of the coupling constant and the Fermi degeneracy. The fitting formula for f_{xc} is then extended over any degree of spin polarization with the aid of available interpolation scheme. The proposed equation of state, called iSTLS formula, shows reasonable agreements with the existing quantum Monte Carlo evaluations at finite temperatures in the paramagnetic state, thus giving a consensus for the thermodynamic functions between many-body theories and computer simulations. On the other hand, the current status for the agreement among various evaluations of f_{xc} is relatively unsatisfactory in the ferromagnetic state, suggesting the necessity of further investigations.

19 page manuscript, 13 figures, and Supplemental Material; Submitted to Contrib. Plasma Phys

References in corpus (4)

• Path Integral Monte Carlo Simulation of the Warm-Dense Homogeneous Electron Gas
• {\em Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit
• The importance of finite-temperature exchange-correlation for warm dense matter calculations
• Accurate exchange-correlation energies for the warm dense electron gas

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• Integral equation theory based dielectric scheme for strongly coupled electron liquids
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• Revisiting the Vashishta-Singwi dielectric scheme for the warm dense uniform electron fluid
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• Homogeneous Electron Liquid in Arbitrary Dimensions: Exchange and Correlation Using the Singwi-Tosi-Land-Sjölander Approach