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• W2092247070 abstract "In a tight binding framework, we analyze the characteristics of electronic states in strongly disordered materials (hopping sites are placed randomly with no local order) with tunneling matrix elements decaying exponentially in the atomic separation with various decay ranges l examined. We calculate the density of states (DOS) and the Inverse Participation Ratio (IPR) for amorphous atomic configurations in one, two, and three dimensions. With a finite size scaling analysis of the IPR statistical distributions, it is shown that states are either extended or localized for a particular energy, and phase portraits for wave functions are obtained showing extended and localized behavior in the thermodynamic limit. While we conclude that all states are localized in 1D, in the 2D case there is a threshold for l above which some eigenstates appear to be extended and below which wave functions are entirely localized. For 3D geometries, there are two mobility boundaries flanking an intermediate range of energies where states are extended with eigenstates localized for energies above or below this range. While a zone of extended states persists even for very short l, the width of the region tends to zero exponentially (i.e. scaling as exp{-A/l}) for very small decay length scales." @default.
• W2092247070 created "2016-06-24" @default.
• W2092247070 creator A5010569007 @default.
• W2092247070 date "2012-01-30" @default.
• W2092247070 modified "2023-10-14" @default.
• W2092247070 title "Electronic states in one-, two-, and three-dimensional highly amorphous materials: A tight-binding treatment" @default.
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• W2092247070 doi "https://doi.org/10.1103/physrevb.85.014209" @default.
• W2092247070 hasPublicationYear "2012" @default.
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