Local-density approximation: Difference between revisions

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LDA is the simplest approximation for this functional, it is ''local'' in the sense that the electron exchange and correlation energy at any point in space is a function of the electron density at that point only.<ref>{{cite journal | author = John R. Smith | title = Beyond the Local-Density Approximation: Surface Properties of (110) W | journal = Phys. Rev. Lett. | volume = 25 | issue = 15 | pages = 1023–1026 | year = 1970 | url = http://link.aps.org/abstract/PRL/v25/p1023 | doi = 10.1103/PhysRevLett.25.1023 | format = abstract}}</ref>

The LDA functional assumes that the per-electron exchange-correlation energy at every point in space is equal to the per-electron exchange-correlation energy of a homogeneous electron gas.<ref name=kohn-sham />

The XC correlation functional is the sum of a correlation functional and an exchange functional<ref name=kohn-sham />