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Density functional theory for d- and f-electron materials and compounds

Journal Article · · International Journal of Quantum Chemistry
DOI:https://doi.org/10.1002/qua.25097· OSTI ID:1246334
 [1];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here, the fundamental requirements for a computationally tractable Density Functional Theory-based method for relativistic f- and (nonrelativistic) d-electron materials and compounds are presented. The need for basing the Kohn–Sham equations on the Dirac equation is discussed. The full Dirac scheme needs exchange-correlation functionals in terms of four-currents, but ordinary functionals, using charge density and spin-magnetization, can be used in an approximate Dirac treatment. The construction of a functional that includes the additional confinement physics needed for these materials is illustrated using the subsystem-functional scheme. If future studies show that a full Dirac, four-current based, exchange-correlation functional is needed, the subsystem functional scheme is one of the few schemes that can still be used for constructing functional approximations.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1246334
Alternate ID(s):
OSTI ID: 1321776
Report Number(s):
SAND--2016-0047J; 617545
Journal Information:
International Journal of Quantum Chemistry, Journal Name: International Journal of Quantum Chemistry Journal Issue: 6 Vol. 49; ISSN 0020-7608
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (62)

The subsystem functional scheme: The Armiento-Mattsson 2005 (AM05) functional and beyond: Subsystem Functional Scheme journal May 2010
Ab-initio Gutzwiller method: first application to plutonium book January 2006
Full-Potential Electronic Structure Method book January 2010
Density Functional Theory book January 1990
High pressure X-ray diffraction of thorium to 30 GPa journal March 1981
Ab initio Gutzwiller method: first application to plutonium journal April 2005
Simultaneous Visualization of Covalent and Noncovalent Interactions Using Regions of Density Overlap journal July 2014
AM05 Density Functional Applied to the Water Molecule, Dimer, and Bulk Liquid journal March 2009
Classification of chemical bonds based on topological analysis of electron localization functions journal October 1994
Modeling and simulation of nuclear fuel materials journal January 2010
An energy functional for surfaces journal August 2001
The AM05 density functional applied to solids journal February 2008
A simple measure of electron localization in atomic and molecular systems journal May 1990
Using the electron localization function to correct for confinement physics in semi-local density functional theory journal May 2014
A technique for relativistic spin-polarised calculations journal August 1977
Generalized Hedin equations and σGσW approximation for quantum many-body systems with spin-dependent interactions journal January 2009
On the role of shear in cosmological averaging journal October 2010
Inhomogeneous Electron Gas journal November 1964
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Orbital polarization in narrow-band systems: Application to volume collapses in light lanthanides journal April 1990
Accurate and simple analytic representation of the electron-gas correlation energy journal June 1992
Exchange energy in the local Airy gas approximation journal October 2000
Spin-orbit coupling in the actinide elements: A critical evaluation of theoretical equilibrium volumes journal December 2000
Electronic structure of fcc Th: Spin-orbit calculation with 6 p 1 / 2 local orbital extension journal September 2001
Subsystem functionals in density-functional theory: Investigating the exchange energy per particle journal October 2002
Functional designed to include surface effects in self-consistent density functional theory journal August 2005
Calculation of the lattice constant of solids with semilocal functionals journal February 2009
Implementing and testing the AM05 spin density functional journal April 2009
Exchange-correlation energy functional based on the Airy-gas reference system journal July 2009
Subsystem functionals and the missing ingredient of confinement physics in density functionals journal September 2010
Quantum oscillations in the kinetic energy density: Gradient corrections from the Airy gas journal August 2014
Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces journal April 2008
Comment on “Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces” journal December 2008
Strongly Constrained and Appropriately Normed Semilocal Density Functional journal July 2015
Ground State of the Electron Gas by a Stochastic Method journal August 1980
Edge Electron Gas journal October 1998
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions journal January 1996
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Orbital polarization in narrow-band systems: Application to volume collapses in light lanthanides journal April 1990
Accurate and simple analytic representation of the electron-gas correlation energy journal June 1992
Exchange energy in the local Airy gas approximation journal October 2000
Spin-orbit coupling in the actinide elements: A critical evaluation of theoretical equilibrium volumes journal December 2000
Electronic structure of fcc Th: Spin-orbit calculation with 6 p 1 / 2 local orbital extension journal September 2001
Subsystem functionals in density-functional theory: Investigating the exchange energy per particle journal October 2002
Inhomogeneous Electron Gas journal March 1973
Functional designed to include surface effects in self-consistent density functional theory journal August 2005
Calculation of the lattice constant of solids with semilocal functionals journal February 2009
Implementing and testing the AM05 spin density functional journal April 2009
Exchange-correlation energy functional based on the Airy-gas reference system journal July 2009
Subsystem functionals and the missing ingredient of confinement physics in density functionals journal September 2010
Quantum oscillations in the kinetic energy density: Gradient corrections from the Airy gas journal August 2014
Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces journal April 2008
Comment on “Restoring the Density-Gradient Expansion for Exchange in Solids and Surfaces” journal December 2008
Strongly Constrained and Appropriately Normed Semilocal Density Functional journal July 2015
Ground State of the Electron Gas by a Stochastic Method journal August 1980
Edge Electron Gas journal October 1998
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions journal January 1996
DENSITY FUNCTIONAL THEORY: In Pursuit of the journal October 2002
Ambient pressure phase diagram of plutonium: A unified theory for α-Pu and δ-Pu journal August 2001
On the role of shear in cosmological averaging text January 2010
Quantum oscillations in the kinetic energy density: Gradient corrections from the Airy gas text January 2014
Strongly Constrained and Appropriately Normed Semilocal Density Functional preprint January 2015

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