Computational Approaches to Energy Materials 2013
DOI: 10.1002/9781118551462.ch2
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Energy Generation: Solar Energy

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Cited by 2 publications
(2 citation statements)
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References 161 publications
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“…Working inside of first-principles electronic structure methods, a useful way of making such treatment is consideration of the non-local hybrid functional as an approximation to the true electron selfenergy Σ(x, x ′ ; ω) , which provides theoretical constructs that map efficiently to typical elements of the hybrid functional like as follows: 39,40 Σ(x, x ′ ; ω) is projected into the direct sum of two principal terms -the first corresponds to a statically screened non-local exchange in which the amount of the exchange is driven by the inverse electronic dielectric constant ǫ −1 ∞ and the second is identified with the static and local part of the hybrid functional; the quasi-particle equation followed from such construction corresponds to the generalized Kohn-Sham equation that can be self-consistently solved for a hybrid functional. The main benefit that was originally gained in this context is that by including the fraction a (the mixing coefficient) of the Fock exchange as ǫ…”
Section: Methods and Computational Details A Methodological Aspectsmentioning
confidence: 99%
“…Working inside of first-principles electronic structure methods, a useful way of making such treatment is consideration of the non-local hybrid functional as an approximation to the true electron selfenergy Σ(x, x ′ ; ω) , which provides theoretical constructs that map efficiently to typical elements of the hybrid functional like as follows: 39,40 Σ(x, x ′ ; ω) is projected into the direct sum of two principal terms -the first corresponds to a statically screened non-local exchange in which the amount of the exchange is driven by the inverse electronic dielectric constant ǫ −1 ∞ and the second is identified with the static and local part of the hybrid functional; the quasi-particle equation followed from such construction corresponds to the generalized Kohn-Sham equation that can be self-consistently solved for a hybrid functional. The main benefit that was originally gained in this context is that by including the fraction a (the mixing coefficient) of the Fock exchange as ǫ…”
Section: Methods and Computational Details A Methodological Aspectsmentioning
confidence: 99%
“…For description of exchange effects in a periodic ion-covalent insulating system we employ the relation a≈ǫ −1 ∞ (Ref. [30][31][32][33][34]) that approximates the mixing coefficient a (fraction of the Fock exchange) in the xc potential in terms of the effective screening of the bare nonlocal exchange part of the electron-electron interaction [31,35].…”
Section: Structural Model and Computational Detailsmentioning
confidence: 99%