Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Thermal hybrid exchange-correlation density functional for improving the description of warm dense matter

Journal Article · · Physical Review B
 [1];  [2];  [2]
  1. Univ. of Rochester, NY (United States). Lab. for Laser Energetics; Laboratory for Laser Energetics, University of Rochester
  2. Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Finite-temperature density functional theory (FT-DFT) has become a standard tool for first principles calculations of the properties of warm dense matter (WDM) relevant to high-energy density physics (HEDP) applications. In this work we introduce theoretical grounds of thermal hybrid exchange-correlation (XC) functionals within the generalized Mermin-Kohn-Sham scheme for an improved description of WDM. Building on the previously developed KSDT (Karasiev-Sjostrom-Dufty-Trickey) [Karasiev et al., Phys. Rev. Lett. 112, 076403 (2014)] local density approximation (LDA) and the KDT16 (Karasiev-Dufty-Trickey 2016) [Karasiev et al., Phys. Rev. Lett. 120, 076402 (2018)] generalized-gradient approximation (GGA) XC free-energy density functionals, we construct a new thermal hybrid XC functional, referred to here as KDT0. The KDT0 model at low temperature reduces to the popular ground-state PBE0 hybrid due to properties of the used KDT16 density functional approximation. Application to static calculations of electronic band gap and band structure at a wide range of temperatures for various systems of interest to HEDP show that KDT0 provides a significant improvement to the lower LDA and GGA rung XC functionals and to the ground-state PBE0 hybrid.
Research Organization:
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Sponsoring Organization:
National Science Foundation (NSF); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC02-05CH11231; NA0003856
OSTI ID:
1634090
Report Number(s):
2020-37, 1571, 2527; 2020-37, 1571, 2527
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 24 Vol. 101; ISSN 2469-9950; ISSN PRBMDO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (65)

Frontiers and Challenges in Warm Dense Matter book January 2014
Stability of the thermal Hartree-Fock approximation journal January 1963
Density functional theory at finite temperatures journal May 1988
Morphology and structure of syndiotactic polystyrene journal April 1989
Structural study on syndiotactic polystyrene: 2. Crystal structure of molecular compound with toluene journal April 1993
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Introducing k-point parallelism into VASP journal August 2012
Finite-temperature orbital-free DFT molecular dynamics: Coupling Profess and Quantum Espresso journal December 2014
Physical properties of polystyrene/alum composites journal October 2004
Ab Initio Molecular Dynamics book January 2009
Density functional theory calculations of continuum lowering in strongly coupled plasmas journal March 2014
Hybrid functionals based on a screened Coulomb potential journal May 2003
Local “hybrid” functionals based on exact-expression approximate exchange journal May 2003
Energy band gaps and lattice parameters evaluated with the Heyd-Scuseria-Ernzerhof screened hybrid functional journal November 2005
Precise determination of lattice parameter and thermal expansion coefficient of silicon between 300 and 1500 K journal July 1984
A new mixing of Hartree–Fock and local density‐functional theories journal January 1993
Rationale for mixing exact exchange with density functional approximations journal December 1996
Toward reliable density functional methods without adjustable parameters: The PBE0 model journal April 1999
Direct-drive inertial confinement fusion: A review journal November 2015
Progress toward Ignition and Burn Propagation in Inertial Confinement Fusion journal September 1992
Understanding band gaps of solids in generalized Kohn–Sham theory journal March 2017
The Boltzmann Equation in the Theory of Electrical Conduction in Metals journal April 1958
Hybrid functionals applied to extended systems journal January 2008
Band gap engineering in polymers through chemical doping and applied mechanical strain journal June 2016
Thermal Properties of the Inhomogeneous Electron Gas journal March 1965
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Reduced-density-matrix-functional theory at finite temperature: Theoretical foundations journal November 2015
Exchange-correlation approximations for reduced-density-matrix-functional theory at finite temperature: Capturing magnetic phase transitions in the homogeneous electron gas journal December 2017
Self-interaction correction to density-functional approximations for many-electron systems journal May 1981
Born-Oppenheimer molecular-dynamics simulations of finite systems: Structure and dynamics of ( H 2 O ) 2 journal July 1993
Projector augmented-wave method journal December 1994
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Femtosecond pump-probe reflectivity study of silicon carrier dynamics journal October 2002
Finite-temperature quasiparticle self-consistent GW approximation journal July 2006
Extension of exact-exchange density functional theory of solids to finite temperatures journal April 2010
Temperature-dependent behavior of confined many-electron systems in the Hartree-Fock approximation journal January 2012
Exact conditions on the temperature dependence of density functionals journal May 2016
Exact thermal density functional theory for a model system: Correlation components and accuracy of the zero-temperature exchange-correlation approximation journal June 2016
Status of free-energy representations for the homogeneous electron gas journal May 2019
Exchange-correlation thermal effects in shocked deuterium: Softening the principal Hugoniot and thermophysical properties journal June 2019
Comparison of density functional approximations and the finite-temperature Hartree-Fock approximation in warm dense lithium journal November 2012
Importance of finite-temperature exchange correlation for warm dense matter calculations journal June 2016
Shock Compression of Quartz to 1.6 TPa: Redefining a Pressure Standard journal November 2009
Strong Coupling and Degeneracy Effects in Inertial Confinement Fusion Implosions journal June 2010
Exact Conditions in Finite-Temperature Density-Functional Theory journal October 2011
Path-Integral Monte Carlo Simulation of the Warm Dense Homogeneous Electron Gas journal April 2013
Accurate Homogeneous Electron Gas Exchange-Correlation Free Energy for Local Spin-Density Calculations journal February 2014
Ab Initio Simulations for the Ion-Ion Structure Factor of Warm Dense Aluminum journal April 2014
Ab Initio Quantum Monte Carlo Simulation of the Warm Dense Electron Gas in the Thermodynamic Limit journal October 2016
Warm Dense Matter Demonstrating Non-Drude Conductivity from Observations of Nonlinear Plasmon Damping journal May 2017
Continuum Lowering and Fermi-Surface Rising in Strongly Coupled and Degenerate Plasmas journal August 2017
Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions journal September 2017
Nonempirical Semilocal Free-Energy Density Functional for Matter under Extreme Conditions journal February 2018
Unified Approach for Molecular Dynamics and Density-Functional Theory journal November 1985
Generalized Gradient Approximation Made Simple journal October 1996
GaAs under Intense Ultrafast Excitation: Response of the Dielectric Function journal January 1998
Exact Exchange Treatment for Molecules in Finite-Basis-Set Kohn-Sham Theory journal December 1999
New KS Method for Molecules Based on an Exchange Charge Density Generating the Exact Local KS Exchange Potential journal December 1999
Isochoric Heating of Solid-Density Matter with an Ultrafast Proton Beam journal September 2003
Quasiparticle Self-Consistent G W Theory journal June 2006
The Cambridge Crystallographic Data Centre: computer-based search, retrieval, analysis and display of information journal October 1979
Direct observation of an abrupt insulator-to-metal transition in dense liquid deuterium journal June 2015
Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems journal June 1957
A B I NITIO M OLECULAR D YNAMICS WITH D ENSITY F UNCTIONAL T HEORY journal October 2002