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LDA(r). This LDA-like short-range correction shifts the quasiparticles upwards by about 500 meV in silicon and diamond, but leaves the gap unaffected.
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The values of the self-energy corrections at the conduction band minimum along ΓX are interpolated from neighboring k points.
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14944381399
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We could as well consider a piece of solid with properly saturated surfaces so that there are no defect states left in the gap.
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104
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14944345572
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Of course, a "one electron in a box" system is not physically equivalent to a low-density electron gas; this equivalence should nonetheless hold in the RPA because the electron(s) only respond to the time-dependent Hartree potential (which is a non self-interaction free average).
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14944341425
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Equation (5) can be recovered from Eq. (C1) in the GW approximation for the self-energy by analytic continuation from the real frequency axis to the imaginary frequency axis.
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