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Journal Articles Physical Review B: Condensed Matter and Materials Physics (1998-2015) Year : 2010

Ab initio calculations of electronic excitations: Collapsing spectral sums

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Abstract

We present a method for the evaluation of electronic excitations of advanced materials by reformulating spectral sum-over-states expressions such that only occupied states appear. All empty states are accounted for by one effective energy. Thus we keep the simplicity and precision of the sum-over-states approach while speeding up calculations by more than an order of magnitude. We demonstrate its power by applying it to the GW method, where a huge summation over empty states appears twice (screening and self-energy). The precision is shown for bulk Si and solid and atomic Ar. We then use it to determine the band gap of the technologically important oxide SnO2.
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hal-00562657 , version 1 (03-02-2011)

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Arjan Berger, Lucia Reining, Francesco Sottile. Ab initio calculations of electronic excitations: Collapsing spectral sums. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2010, 82, pp.041103(R). ⟨10.1103/PhysRevB.82.041103⟩. ⟨hal-00562657⟩
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