Electronic states in topologically disordered systems

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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5 pages, 6 figures, to appear in the proceedings of PILS'98, Annalen der Physik (Leipzig)

Scientific paper

10.1002/(SICI)1521-3889(199811)7

Networks generated from Voronoi tessellations of space are prototypes for topologically disordered systems. In order to assess the effects of random coordination on the statistical properties of energy spectra, we analyze tight-binding models for planar topologically disordered systems. To this end, the networks are generated by a simple topological model covering a wide range of naturally observed random structures. We find that the energy-level-spacing distributions exhibit level repulsion, similar to the spacings in the energetically disordered Anderson model of localization in the metallic regime.

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