Physics – Condensed Matter – Materials Science
Scientific paper
1998-07-02
Physics
Condensed Matter
Materials Science
LaTex, 8 pages, 13 figures, http://www.icmm.csic.es/Pandres/pedro.htm
Scientific paper
10.1103/PhysRevB.59.3086
We analyze statistical probability distributions of intensities collected by diffraction techniques like Low-Energy Electron Diffraction. A simple theoretical model based in hard-sphere potentials and LEED formalism is investigated for different values of relevant parameters: energy, angle of incidence, muffin-tin potential radius, maximum spherical component $l_{max}$, number of stacked layers, and full multiple-scattering or kinematic model. Given a complex enough system (e.g., including multiple scattering by at least two Bravais lattices), the computed probability distributions agree rather well with a $\chi^{2}_{2}$ one, characteristic of the Gaussian Unitary Ensemble universality class associated to quantum chaos. A hypothesis on the possible impact of the chaoticity of wavefunctions on correlation factors is tested against the behaviour of the Pendry R-factor and the Root Mean Squared Deviation factor.
de Andres Pedro L.
Verges Jose A.
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