Electronic states in topologically disordered systems
arXiv:cond-mat/9811360 · doi:10.1002/(SICI)1521-3889(199811)7:5/6<389::AID-ANDP389>3.0.CO;2-A
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.
5 pages, 6 figures, to appear in the proceedings of PILS'98, Annalen der Physik (Leipzig)
Cited by in corpus (8)
- On Large Scale Diagonalization Techniques for the Anderson Model of Localization
- Exact multi-electronic electron-concentration dependent ground-states for disordered two-dimensional two-band systems in presence of disordered hoppings and finite on-site random interactions
- Exponents of the localization length in the 2D Anderson model with off-diagonal disorder
- Universal level-spacing statistics in quasiperiodic tight-binding models
- Energy spectra and eigenstates of quasiperiodic tight-binding Hamiltonians
- Localisation and finite-size effects in graphene flakes
- Multifractal analysis of electronic states on random Voronoi-Delaunay lattices
- Localization of electronic states in amorphous materials: recursive Green's function method and the metal-insulator transition at E<>0