Local-density approximation: Difference between revisions

Revision as of 10:19, 1 March 2021

Revision as of 04:51, 4 March 2021

Line 49:

* Cole-Perdew (CP) <ref>{{cite journal | title = Calculated electron affinities of the elements | author = L. A. Cole and J. P. Perdew | journal = Phys. Rev. A | volume = 25 | pages = 1265–1271 | year = 1982 | doi = 10.1103/PhysRevA.25.1265 |bibcode = 1982PhRvA..25.1265C | issue = 3 }}</ref>

* Perdew-Wang (PW92) <ref name=pw92>{{cite journal | title = Accurate and simple analytic representation of the electron-gas correlation energy | author = John P. Perdew and Yue Wang | journal = Phys. Rev. B | volume = 45 | pages = 13244–13249 | year = 1992 | doi = 10.1103/PhysRevB.45.13244 | pmid = 10001404 |bibcode = 1992PhRvB..4513244P | issue = 23 }}</ref>

* Chachiyo formula <ref name="ChachiyoFormula">{{cite journal |last1=Chachiyo |first1=Teepanis |title=Simple and accurate uniform electron gas correlation energy for the full range of densities |journal=The Journal of Chemical Physics |date=14 July 2016 |volume=145 |page=021101 |doi=10.1063/1.4958669 |url=https://aip.scitation.org/doi/full/10.1063/1.4958669|doi-access=free }}</ref> and its modification <ref name="ModifiedChachiyo">{{cite journal |last1=Pinsook |first1=Udomsilp |title=Modified Chachiyo Formula for Correlation Energy of Uniform Electron Gas |journal=Thai Journal of Physics |date=30 September 2020 |volume=37 |page=117 |url=https://ph01.tci-thaijo.org/index.php/ThaiJPhys/article/view/242002}}</ref>

Predating these, and even the formal foundations of DFT itself, is the Wigner correlation functional obtained [[Møller–Plesset perturbation theory#Rayleigh-Schr.C3.B6dinger perturbation theory|perturbatively]] from the HEG model.<ref name=wigner>{{cite journal | title = On the Interaction of Electrons in Metals | author = E. Wigner | journal = Phys. Rev. | volume = 46 | pages = 1002–1011 | year = 1934 | doi = 10.1103/PhysRev.46.1002 |bibcode = 1934PhRv...46.1002W | issue = 11 }}</ref>