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Some insight into the convergence of the multiple scattering series expansion

Didier Sébilleau1 and Calogero R Natoli2

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We explore the convergence of the multiple scattering series by studying the spectral radius of the corresponding multiple scattering matrix. The energy variations of this spectral radius exhibit strong oscillations. These oscillations are shown to depend strongly on the electronic and crystallographic structure in the low energy regime. As the calculation of the eigenvalues of the multiple scattering matrix is very long, we devise a fast algorithm to approximate this spectral radius.


PACS

71.20.Be Transition metals and alloys

02.10.Ud Linear algebra

78.70.Dm X-ray absorption spectra

61.66.Bi Elemental solids

02.30.Mv Approximations and expansions

02.30.Lt Sequences, series, and summability

Subjects

Mathematical physics

Condensed matter: electrical, magnetic and optical

Condensed matter: structural, mechanical & thermal

Dates

Issue 1 (2009)



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