Abstract.
We investigated numerically localization properties of electron eigenstates in a chain with long-range correlated diagonal disorder. A tight-binding one-dimensional model with on-site energies exhibiting long-range correlated disorder (LCD) was used with various disorder strength W. LCD was defined so that it gave a power-law spectral density of the form S(k)αk-p, where p determines the roughness of the potential landscape. Numerical results on the correlation length ξ of eigenstates shows the existence of the localization-delocalization transition at p=2. It is found that the critical values for disorder strength Wc and also the critical exponent ν for localization length change with the values of p.
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Kaya, T. Localization-delocalization transition in chains with long-range correlated disorder. Eur. Phys. J. B 55, 49–56 (2007). https://doi.org/10.1140/epjb/e2007-00036-4
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DOI: https://doi.org/10.1140/epjb/e2007-00036-4