skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: U ( 1 ) × SU ( 2 ) gauge invariance made simple for density functional approximations


Not provided.

; ;
Publication Date:
Research Org.:
Univ. of Missouri, Columbia, MO (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
DOE Contract Number:  
Resource Type:
Journal Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 3; Journal ID: ISSN 2469-9950
American Physical Society (APS)
Country of Publication:
United States
Materials Science; Physics

Citation Formats

Pittalis, S., Vignale, G., and Eich, F. G. U(1)×SU(2) gauge invariance made simple for density functional approximations. United States: N. p., 2017. Web. doi:10.1103/physrevb.96.035141.
Pittalis, S., Vignale, G., & Eich, F. G. U(1)×SU(2) gauge invariance made simple for density functional approximations. United States. doi:10.1103/physrevb.96.035141.
Pittalis, S., Vignale, G., and Eich, F. G. Sat . "U(1)×SU(2) gauge invariance made simple for density functional approximations". United States. doi:10.1103/physrevb.96.035141.
title = {U(1)×SU(2) gauge invariance made simple for density functional approximations},
author = {Pittalis, S. and Vignale, G. and Eich, F. G.},
abstractNote = {Not provided.},
doi = {10.1103/physrevb.96.035141},
journal = {Physical Review B},
issn = {2469-9950},
number = 3,
volume = 96,
place = {United States},
year = {2017},
month = {7}

Works referenced in this record:

Inhomogeneous Electron Gas
journal, November 1964

Self-Consistent Equations Including Exchange and Correlation Effects
journal, November 1965

A local exchange-correlation potential for the spin polarized case. i
journal, July 1972

Density-functional theory in strong magnetic fields
journal, November 1987

Spin-Orbit Coupling Effects in Zinc Blende Structures
journal, October 1955

Z2 Topological Order and the Quantum Spin Hall Effect
journal, September 2005

Topological insulators and superconductors
journal, October 2011

Topological Insulator Materials
journal, October 2013

  • Ando, Yoichi
  • Journal of the Physical Society of Japan, Vol. 82, Issue 10, Article No. 102001
  • DOI: 10.7566/JPSJ.82.102001

Colloquium: Topological insulators
journal, November 2010

Spin–orbit coupling in the spin-current-density-functional theory
journal, November 2003

Gauge invariance and current algebra in nonrelativistic many-body theory
journal, July 1993

Exact density functionals for two-electron systems in an external magnetic field
journal, September 2006

  • Zhu, Wuming; Trickey, S. B.
  • The Journal of Chemical Physics, Vol. 125, Issue 9
  • DOI: 10.1063/1.2222353

Gauge-invariant formulation of spin-current density-functional theory
journal, March 2010

Density functional theory of non-collinear magnetism
journal, March 1988

A New Approach to Noncollinear Spin Density Functional Theory beyond the Local Density Approximation
journal, June 2012

  • Scalmani, Giovanni; Frisch, Michael J.
  • Journal of Chemical Theory and Computation, Vol. 8, Issue 7
  • DOI: 10.1021/ct300441z

Transverse Spin-Gradient Functional for Noncollinear Spin-Density-Functional Theory
journal, October 2013

Transverse and longitudinal gradients of the spin magnetization in spin-density-functional theory
journal, December 2013

Nonempirical Construction of Current-Density Functionals from Conventional Density-Functional Approximations
journal, November 2005

Climbing the Density Functional Ladder: Nonempirical Meta–Generalized Gradient Approximation Designed for Molecules and Solids
journal, September 2003

Alternative expressions for the Fermi hole curvature
journal, June 1993

  • Dobson, John F.
  • The Journal of Chemical Physics, Vol. 98, Issue 11
  • DOI: 10.1063/1.464444

Current-density dependent exchange-correlation functionals
journal, June 1996

  • Becke, Axel D.
  • Canadian Journal of Chemistry, Vol. 74, Issue 6
  • DOI: 10.1139/v96-110

Current density in exchange-correlation functionals: Application to atomic states
journal, October 2002

  • Becke, Axel D.
  • The Journal of Chemical Physics, Vol. 117, Issue 15
  • DOI: 10.1063/1.1503772

Current-dependent extension of the Perdew–Burke–Ernzerhof exchange-correlation functional
journal, February 2004

  • Maximoff, Sergey N.; Ernzerhof, Matthias; Scuseria, Gustavo E.
  • The Journal of Chemical Physics, Vol. 120, Issue 5
  • DOI: 10.1063/1.1634553

Orbital currents in the Colle-Salvetti correlation energy functional and the degeneracy problem
journal, September 2007

  • Pittalis, S.; Kurth, S.; Sharma, S.
  • The Journal of Chemical Physics, Vol. 127, Issue 12
  • DOI: 10.1063/1.2777140

Random phase approximation with second-order screened exchange for current-carrying atomic states
journal, December 2016

  • Zhu, Wuming; Zhang, Liang; Trickey, S. B.
  • The Journal of Chemical Physics, Vol. 145, Issue 22
  • DOI: 10.1063/1.4971377

Classical Yang–Mills theory in condensed matter physics
journal, December 2012

Electron densities in search of Hamiltonians
journal, September 1982

Density functionals for coulomb systems
journal, September 1983

  • Lieb, Elliott H.
  • International Journal of Quantum Chemistry, Vol. 24, Issue 3
  • DOI: 10.1002/qua.560240302

Exact-Exchange Spin-Current Density-Functional Theory
journal, July 2006

Accurate first-principles structures and energies of diversely bonded systems from an efficient density functional
journal, June 2016

  • Sun, Jianwei; Remsing, Richard C.; Zhang, Yubo
  • Nature Chemistry, Vol. 8, Issue 9
  • DOI: 10.1038/nchem.2535

Exchange holes in inhomogeneous systems: A coordinate-space model
journal, April 1989

N -Representability in Noncollinear Spin-Polarized Density-Functional Theory
journal, October 2013