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dc.contributor.authorQian, Zhixineng
dc.contributor.authorVignale, Giovanni, 1957-eng
dc.date.issued2002eng
dc.descriptionURL:http://link.aps.org/doi/10.1103/PhysRevB.65.235121 DOI:10.1103/PhysRevB.65.235121eng
dc.description.abstractThe imaginary parts of the exchange-correlation kernels fxcL,T(ω) in the longitudinal and transverse current-current response functions of a homogeneous electron liquid are calculated exactly at low frequency, to leading order in the Coulomb interaction. Combining these new results with the previously known high-frequency behaviors of ImfxcL,T(ω) and with the compressibility and the third moment sum rules, we construct simple interpolation formulas for ImfxcL,T(ω) in three and two spatial dimensions. A feature of our interpolation formulas is that they explicitly take into account the two-plasmon component of the excitation spectrum: our longitudinal spectrum ImfxcL(ω) is thus intermediate between the Gross-Kohn interpolation, which ignores the two-plasmon contribution, and a recent approximate calculation by Nifosì, Conti, and Tosi, which probably overestimates it. Numerical results for both the real and imaginary parts of the exchange-correlation kernels at typical electron densities are presented, and compared with those obtained from previous approximations. We also find an exact relation between ImfxcL(ω) and ImfxcT(ω) at small ω.eng
dc.description.sponsorshipWe gratefully acknowledge support for this work from the NSF Grant No. DMR-0074959 and from the Research Board Grant No. URB-00-029 at the University of Missouri.eng
dc.identifier.citationPhys. Rev. B 65, 235121 (2002) [12 pages]eng
dc.identifier.issn1098-0121eng
dc.identifier.urihttp://hdl.handle.net/10355/7762eng
dc.languageEnglisheng
dc.publisherAmerican Physical Societyeng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. College of Arts and Sciences. Department of Physics and Astronomy. Physics and Astronomy publicationseng
dc.subjectlocal density approximationeng
dc.subjectgradient and other correctionseng
dc.subjecttheories and models of many-electron systemseng
dc.subjectexchange, correlation, dielectric and magnetic response functionseng
dc.subject.lcshDensity functionalseng
dc.subject.lcshDensityeng
dc.subject.lcshApproximation theoryeng
dc.subject.lcshConjugate gradient methodseng
dc.subject.lcshPlasmonseng
dc.titleDynamical exchange-correlation potentials for an electron liquideng
dc.typeArticleeng


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