Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1997-08-30
J. of Phys. A, 30 (1997) L367-371
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages
Scientific paper
10.1088/0305-4470/30/11/004
We consider diagonal disordered one-dimensional Anderson models with an underlying periodicity. We assume the simplest periodicity, i.e., we have essentially two lattices, one that is composed of the random potentials and the other of non-random potentials. Due to the periodicity special resonance energies appear, which are related to the lattice constant of the non-random lattice. Further on two different types of behaviors are observed at the resonance energies. When a random site is surrounded by non-random sites, this model exhibits extended states at the resonance energies, whereas otherwise all states are localized with, however, an increase of the localization length at these resonance energies. We study these resonance energies and evaluate the localization length and the density of states around these energies.
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