On the ground state of mixed-valence semiconductors

K. A. Kikoin

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12 Scopus citations


A new variational procedure is proposed for calculating the ground-state energy of mixed-valence (MV) semiconductors such as SmS and SmB6. This procedure uses the localised basis involving one- and two-electron states of a dielectric Anderson lattice with electron-hole attraction. The mixed-valence state can be obtained only beyond the Hartree-Fock approximation. The non-orthogonality catastrophe arising due to the overlap of the exciton wavefunctions is solved by means of a modified Lowdin-Carr method. Some physical consequences of the model accepted are discussed; it is shown in particular that the model resolves the controversy between the semiconducting behaviour of the static dielectric permittivity and its metallic high-frequency properties responsible for the golden colour of SmS in the high-pressure phase.

Original languageEnglish
Article number021
Pages (from-to)6671-6684
Number of pages14
JournalJournal of Physics C: Solid State Physics
Issue number36
StatePublished - 1 Dec 1984
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • General Engineering
  • General Physics and Astronomy


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