In:
Modern Physics Letters B, World Scientific Pub Co Pte Ltd, Vol. 17, No. 27n28 ( 2003-11-30), p. 1461-1476
Abstract:
We obtain analytically a universal expression of the resonant energies for any one-dimensional (1D) models with the defects having symmetric internal structures. In a 1D periodic system with the on-site energy ε 0 =0 and a nearest-neighbor matrix element t 0 =1.0, two classes of the most interesting and simplest wavefunction behaviors are numerically obtained for the resonant energies around (a) 0, ±1, (b) [Formula: see text], respectively. We show that similar wavefunction behaviors can be found widely in many quasiperiodic and random systems where the delocalization phenomena are predicted. We suggest that the envelope of these wavefunctions can be generally used as a criterion of delocalization of electronic states in 1D random and quasiperiodic lattices.
Type of Medium:
Online Resource
ISSN:
0217-9849
,
1793-6640
DOI:
10.1142/S0217984903006530
Language:
English
Publisher:
World Scientific Pub Co Pte Ltd
Publication Date:
2003
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