The nature of electronic states in a disordered chain with long-ranged hopping amplitudes

José C. Cressoni and Marcelo L. Lyra

Physica A: Statistical Mechanics and its Applications, 1998, vol. 256, issue 1, 18-29

Abstract: In this work we investigate the nature of the electronic states in a one-dimensional tight-binding model with on-site energetic disorder and long-ranged hopping amplitudes. These are assumed to follow a power-law decay behavior with distance in the form h(r)∝1/rα, with α>1. Direct numerical diagonalization, finite-size scaling and a spectral statistics analysis show that as α→1 the localization length exhibits an exponential growth as the upper band edge is approached. Strong finite-size corrections are present in this regime near the upper band edge with the one-electron states displaying a strong level repulsion even at large, although finite, chains.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:256:y:1998:i:1:p:18-29

DOI: 10.1016/S0378-4371(98)00117-4

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