Excitonic Bound State in the Extended Anderson Model with c-f Coulomb Interaction

Details Excitonic Bound State in the Extended Anderson Model with c-f Coulomb Interaction Excitonic Bound State in the Extended Anderson Model with c-f Coulomb Interaction

2007-02-07

arxiv.org/abs/cond-mat/0702163v1

J. Phys. Soc. Jpn. 76 (2007) 064707

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 20 figures, submitted to J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.76.064707

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.

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