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In this paper, we investigate the localization in a tight-binding one-dimensional model with long-range correlated disorder, which was proposed by de Moura and Lyra. The diagonal on-site energies are distributed in [-W/2,W/2] and the Fourier transform S(k) of the two-point correlation function 〈εiεj〉 satisfies S(k)∝k-α with α>0. Using the participation ratio, we confirm that there is a finite range of extended eigenstates for α>2 and Wα<2.
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Keywords:
- Anderson localization /
- long-range correlation /
- extended state
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