Excitonic bound state in the extended Anderson model with c-f Coulomb interaction

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3 Citations (Scopus)

Abstract

The Anderson model with the Coulomb interaction between the local and conduction electrons is studied in the semiconducting phase. Based on a perturbation theory from the atomic limit, leading contributions for the c-f Coulomb interaction are incorporated as a vertex correction to hybridization. An analytical solution shows that the effective attraction in the intermediate states leads to a bound state localized at the local electron site. Self-consistent equations are constructed as an extension of the non-crossing approximation (NCA) to include the vertex part yielding the bound state. A numerical calculation demonstrates the excitonic bound state inside the semiconducting gap for single-particle excitations, and a discontinuity at the gap edge for magnetic excitations.

Original languageEnglish
Article number064707
Journaljournal of the physical society of japan
Volume76
Issue number6
DOIs
Publication statusPublished - Jun 2007

Keywords

  • Bound state
  • Dynamical magnetic susceptibility
  • Exciton
  • Mixed-valence semiconductor
  • Non-crossing approximation (NCA)
  • Single-particle excitation
  • c-f Coulomb repulsion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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