Electronic states in topologically disordered systems

Grimm , U; Romer , RA; Schliecker, Gudrun

doi:10.1002/(SICI)1521-3889(199811)7:5/6<389::AID-ANDP389>3.0.CO;2-A

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Electronic states in topologically disordered systems

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Schliecker, Gudrun
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Grimm, U., Romer, R., & Schliecker, G. (1998). Electronic states in topologically disordered systems. Annalen der Physik, 7(5-6), 389-393.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-A72A-0

Abstract

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.