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Some insight into the convergence of the multiple scattering series expansion

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, , Citation Didier Sébilleau and Calogero R Natoli 2009 J. Phys.: Conf. Ser. 190 012002 DOI 10.1088/1742-6596/190/1/012002

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1 Équipe de Physique des Surfaces et des Interfaces, Institut de Physique de Rennes, UMR CNRS-UR1 6251, Université de Rennes-1, 35042 Rennes-Cedex, France

2 Laboratori Nazionali di Frascati, INFN, via Enrico Fermi 40, I-00044 Frascati, Italy

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1742-6596/190/1/012002

Abstract

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.

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10.1088/1742-6596/190/1/012002