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- W1978572977 abstract "Various approximation schemes concerning the calculation of the electron self-energy M for a semiconductor in the (bubble) GW scheme of Hedin [Phys. Rev. 139, A796 (1965)] are discussed. It is shown by using a contour-deformation procedure in the complex energy plane that M, as obtained in the first iteration cycle of the GW scheme, is Hermitian for real energies ensuremath{Vert}ensuremath{varepsilon}ensuremath{Vert}3${ensuremath{varepsilon}}_{g}$/2, where ${ensuremath{varepsilon}}_{g}$ is the unperturbed energy gap, and non-Hermitian for ensuremath{Vert}ensuremath{varepsilon}ensuremath{Vert}>3${ensuremath{varepsilon}}_{g}$/2. The Taylor expansion for M around the midgap energy value ensuremath{varepsilon}=0 has a convergence radius of 3${ensuremath{varepsilon}}_{g}$/2. Extended use of a (truncated) Taylor series at ensuremath{Vert}ensuremath{varepsilon}ensuremath{Vert}>3${ensuremath{varepsilon}}_{g}$/2 is not capable of giving the non-Hermitian part of M, while there is also no guarantee that the Hermitian part is correctly obtained in this way." @default.
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- W1978572977 date "1988-10-15" @default.
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- W1978572977 title "<i>GW</i>approach to the calculation of electron self-energies in semiconductors" @default.
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- W1978572977 doi "https://doi.org/10.1103/physrevb.38.7530" @default.
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