Three-Body and One-Body Channels of the Auger Core-Valence-Valence decay: Simplified Approach

Details Three-Body and One-Body Channels of the Auger Core-Valence-Valence decay: Simplified Approach Three-Body and One-Body Channels of the Auger Core-Valence-Valence decay: Simplified Approach

1999-06-10

arxiv.org/abs/cond-mat/9906153v1

Phys. Rev. B 60, 11391 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

AMS-LaTeX file, 23 pages, 8 eps and 3 ps figures embedded in the text with epsfig.sty and float.sty, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.60.11391

We propose a computationally simple model of Auger and APECS line shapes from open-band solids. Part of the intensity comes from the decay of unscreened core-holes and is obtained by the two-body Green's function $G^{(2)}_{\omega}$, as in the case of filled bands. The rest of the intensity arises from screened core-holes and is derived using a variational description of the relaxed ground state; this involves the two-holes-one-electron propagator $G_{\omega}$, which also contains one-hole contributions. For many transition metals, the two-hole Green's function $G^{(2)}_{\omega}$ can be well described by the Ladder Approximation, but the three-body Green's function poses serious further problems. To calculate $G_{\omega}$, treating electrons and holes on equal footing, we propose a practical approach to sum the series to all orders. We achieve that by formally rewriting the problem in terms of a fictitious three-body interaction. Our method grants non-negative densities of states, explains the apparent negative-U behavior of the spectra of early transition metals and interpolates well between weak and strong coupling, as we demonstrate by test model calculations.

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