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Approximate bounds and temperature dependence of adiabatic connection integrands for the uniform electron gas

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/5.0079695· OSTI ID:1979025
 [1];  [2];  [2]
  1. Univ. of California, Merced, CA (United States); Florida A & M University, Tallahassee, FL (United States)
  2. Univ. of California, Merced, CA (United States)
+ Show Author Affiliations
Thermal density functional theory is commonly used in simulations of warm dense matter, a highly energetic phase characterized by substantial thermal effects and by correlated electrons demanding quantum mechanical treatment. Methods that account for temperature dependence, such as Mermin–Kohn–Sham finite-temperature density functional theory and free energy density functional theory, are now employed with more regularity and available in many standard code packages. However, approximations from zero-temperature density functional theory are still often used in temperature-dependent simulations using thermally weighted electronic densities as an input to exchange–correlation functional approximations, a practice known to miss temperature-dependent effects in the exchange–correlation free energy of these systems. Here, in this work, the temperature-dependent adiabatic connection is demonstrated and analyzed using a well-known parameterization of the uniform electron gas free energy. Useful tools based on this formalism for analyzing and constraining approximations of the exchange–correlation at zero temperature are leveraged for the finite-temperature case. Inspired by the Lieb–Oxford inequality, which provides a lower bound for the ground-state exchange–correlation energy, bounds for the exchange–correlation at finite temperatures are approximated for various degrees of electronic correlation.
Research Organization:
Florida A & M University, Tallahassee, FL (United States)
Sponsoring Organization:
USDOE; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
NA0003866
OSTI ID:
1979025
Alternate ID(s):
OSTI ID: 1860510
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 13 Vol. 156; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

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Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Adiabatic-connection formalism
Density functional theory
Electronic correlation
Exchange correlation functionals
Exchange interactions
Jellium
Local density approximations