Abstract
A new set of self-consistent equations is proposed for the calculation of the disorder and Coulomb contributions to the electron self-energy and the electron-hole interaction in a many-electron system in the presence of a site-diagonal random potential. The treatment of the disorder is along the lines of the coherent-potential approximation. An explicit expression for the Coulomb self-energy is derived within the time-dependent screened Hartree-Fock approximation. Some possible applications of the formalism to the formation of a Coulomb gap in a doped semiconductor and to electron-hole interaction effects in the optical spectra of alloy semiconductor systems are discussed.
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Dedicated to B. Mühlschlegel on the occasion of his 60th birthday
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Vignale, G., Hanke, W. Self-consistent Green's function theory for interacting electrons in a random potential. Z. Physik B - Condensed Matter 60, 393–400 (1985). https://doi.org/10.1007/BF01304461
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DOI: https://doi.org/10.1007/BF01304461