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Manifestation of quantum chaos on ordered structures by scattering techniques: application to Low-Energy Electron Diffraction

P. L. de Andres·J. A. Verges
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Abstract

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 $χ^{2}_{2}$ 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.

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P. L. de Andres, J. A. Verges. 1998-07-02. Manifestation of quantum chaos on ordered structures by scattering techniques: application to Low-Energy Electron Diffraction. https://doi.org/10.1103/physrevb.59.3086

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