2016
DOI: 10.1103/physrevb.93.235106
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Nonempirical range-separated hybrid functionals for solids and molecules

Abstract: Dielectric-dependent hybrid (DDH) functionals were recently shown to yield accurate energy gaps and dielectric constants for a wide variety of solids, at a computational cost considerably less than that of GW calculations. The fraction of exact exchange included in the definition of DDH functionals depends (self-consistently) on the dielectric constant of the material. Here we introduce a range-separated (RS) version of DDH functionals where short and long-range components are matched using system dependent, n… Show more

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Cited by 146 publications
(204 citation statements)
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References 103 publications
(85 reference statements)
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“…Although computationally expensive, the use of the hybrid PBE0 functional avoids the parameterization necessary for the quantitatively reliable implementation of the PBE+U method for this type of system. The use of PBE0 is further motivated by recent calculations suggesting that the mixing fraction of exact exchange in global hybrid functionals should be chosen to be the inverse of the dielectric constant (32)(33)(34). The highfrequency dielectric constant was computed to be ∼3.5 for bulk Ni(OH) 2 (35), suggesting a fraction of exact exchange of 0.29, comparable to the fraction of 0.25 for PBE0.…”
Section: Resultsmentioning
confidence: 99%
“…Although computationally expensive, the use of the hybrid PBE0 functional avoids the parameterization necessary for the quantitatively reliable implementation of the PBE+U method for this type of system. The use of PBE0 is further motivated by recent calculations suggesting that the mixing fraction of exact exchange in global hybrid functionals should be chosen to be the inverse of the dielectric constant (32)(33)(34). The highfrequency dielectric constant was computed to be ∼3.5 for bulk Ni(OH) 2 (35), suggesting a fraction of exact exchange of 0.29, comparable to the fraction of 0.25 for PBE0.…”
Section: Resultsmentioning
confidence: 99%
“…The range-separation parameter μ can be obtained through standard least-squares fitting to the dielectric function ε −1 G,G (q → 0, ω = 0) in the long-wavelength limit, as done in Ref. [56]. The inverse macroscopic dielectric constant ε −1 ∞ corresponds to the G = 0 component of the dielectric function.…”
Section: A Generalized Range-separated Hybrid Functional With Dielecmentioning
confidence: 99%
“…The scheme was later adapted to extended systems [54,55]. In the more recent range-separated DDH (RS-DDH) of Skone et al [56], the screening length of Fock exchange is determined through the dielectric function calculated from first principles. Yet, the fraction of Fock exchange in RS-DDH is pinned at 25% in the short range on an empirical basis.…”
Section: Introductionmentioning
confidence: 99%
“…254 Galli and coworkers have developed a dielectric-dependent range-separated hybrid that shows good accuracy for energy gaps of inorganic and organic solids. 255 In order to reap the benefits of both LC and SX functionals, it has been suggested to use three-ranges, with X increasing from short range to middle range and then decreasing from middle range to long range. 256 Another way to use range separation has nothing to do with Hartree-Fock exchange.…”
Section: Exchange-correlation Functionals Classified By Their Ingrmentioning
confidence: 99%