Sum rules for the exchange-correlation energy functional of the extended constrained-search theory: Application to checking the validity of the vorticity expansion approximation of the current-density functional theory

Current Density ◽

Density Functional ◽

Sum Rules ◽

Correlation Energy ◽

Energy Functional ◽

Search Theory ◽

Functional Theory ◽

Exchange Correlation ◽

Evaluation of the kinetic energy contribution to the exchange-correlation energy functional in the extended constrained-search theory: Application to the current density functional theory

Journal of Physics Conference Series ◽

10.1088/1742-6596/150/4/042057 ◽

2009 ◽

Vol 150 (4) ◽

pp. 042057

Author(s):

K Higuchi ◽

M Higuchi

Keyword(s):

Kinetic Energy ◽

Density Functional ◽

Correlation Energy ◽

Energy Functional ◽

Search Theory ◽

Energy Contribution ◽

Functional Theory ◽

Exchange Correlation ◽

Current–Density Functional Theory for the Superconductor and Its Exchange–Correlation Energy Functional

Journal of the Physical Society of Japan ◽

10.7566/jpsj.86.104705 ◽

2017 ◽

Vol 86 (10) ◽

pp. 104705 ◽

Cited By ~ 4

Author(s):

Katsuhiko Higuchi ◽

Hiroyasu Niwa ◽

Masahiko Higuchi

Keyword(s):

Current Density ◽

Density Functional ◽

Correlation Energy ◽

Energy Functional ◽

Functional Theory ◽

Sum rules and bounds on the exchange and correlation energy functional of current-density functional theory

Physical Review B ◽

10.1103/physrevb.65.195122 ◽

2002 ◽

Vol 65 (19) ◽

Cited By ~ 27

Author(s):

Masahiko Higuchi ◽

Katsuhiko Higuchi

Keyword(s):

Current Density ◽

Density Functional ◽

Sum Rules ◽

Correlation Energy ◽

Energy Functional ◽

Functional Theory ◽

Exchange And Correlation

Vorticity expansion approximation of the exchange-correlation energy functional in current density functional theory

Physical Review B ◽

10.1103/physrevb.74.195122 ◽

2006 ◽

Vol 74 (19) ◽

Cited By ~ 28

Author(s):

Katsuhiko Higuchi ◽

Masahiko Higuchi

Keyword(s):

Current Density ◽

Density Functional ◽

Correlation Energy ◽

Energy Functional ◽

Functional Theory ◽

Erratum: Vorticity expansion approximation of the exchange-correlation energy functional in current density functional theory [Phys. Rev. B74, 195122 (2006)]

Physical Review B ◽

10.1103/physrevb.75.159902 ◽

2007 ◽

Vol 75 (15) ◽

Cited By ~ 13

Author(s):

Katsuhiko Higuchi ◽

Masahiko Higuchi

Keyword(s):

Current Density ◽

Density Functional ◽

Correlation Energy ◽

Energy Functional ◽

Functional Theory ◽

Evidence for a fundamental inadequacy of the gradient expansion of the exchange-correlation energy functional in the Hohenberg-Kohn-Sham density-functional theory from Compton scattering experiments

Physical Review B ◽

10.1103/physrevb.30.1010 ◽

1984 ◽

Vol 30 (2) ◽

pp. 1010-1011 ◽

Cited By ~ 8

Author(s):

Gerrit E. W. Bauer

Keyword(s):

Compton Scattering ◽

Density Functional ◽

Correlation Energy ◽

Energy Functional ◽

Functional Theory ◽

Gradient Expansion ◽

Including nonlocality in the exchange-correlation kernel from time-dependent current density functional theory: Application to the stopping power of electron liquids

Physical Review B ◽

10.1103/physrevb.76.205103 ◽

2007 ◽

Vol 76 (20) ◽

Cited By ~ 45

Author(s):

V. U. Nazarov ◽

J. M. Pitarke ◽

Y. Takada ◽

G. Vignale ◽

Y.-C. Chang

Keyword(s):

Current Density ◽

Density Functional ◽

Time Dependent ◽

Stopping Power ◽

Functional Theory ◽

Correlation Kernel ◽

Exchange Correlation ◽

Electron Liquids ◽

Exchange-correlation orbital functionals in current-density functional theory: Application to a quantum dot in magnetic fields

Physical Review B ◽

10.1103/physrevb.77.245106 ◽

2008 ◽

Vol 77 (24) ◽

Cited By ~ 22

Author(s):

N. Helbig ◽

S. Kurth ◽

S. Pittalis ◽

E. Räsänen ◽

E. K. U. Gross

Keyword(s):

Magnetic Fields ◽

Quantum Dot ◽

Current Density ◽

Density Functional ◽

Functional Theory ◽

Exchange Correlation ◽

Heisenberg Spin Hamiltonian Derived from a Multiple Grand Canonical Spin Density Functional Theory with a Principal Nonlocal Exchange–Correlation Energy Functional

Journal of the Physical Society of Japan ◽

10.7566/jpsj.91.014702 ◽

2022 ◽

Vol 91 (1) ◽

Author(s):

Masami Kusunoki

Keyword(s):

Density Functional ◽

Correlation Energy ◽

Energy Functional ◽

Spin Hamiltonian ◽

Functional Theory ◽

Heisenberg Spin ◽

Exchange Correlation ◽

Heisenberg Spin Hamiltonian ◽

Grand Canonical

Exchange and correlation energy functional in the current-density functional theory

Physica B Condensed Matter ◽

10.1016/s0921-4526(01)01180-2 ◽

2002 ◽

Vol 312-313 ◽

pp. 534-536 ◽

Cited By ~ 3

Author(s):

Katsuhiko Higuchi ◽

Masahiko Higuchi

Keyword(s):

Current Density ◽

Density Functional ◽

Correlation Energy ◽

Energy Functional ◽

Functional Theory ◽

Exchange And Correlation