Localization-delocalization transition in chains with correlated disorder

Abstract

We investigate 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 (LRCD) is considered for a various disorder strength W. LRCD is defined so that it gives a power law spectral density of the form S(k)alpha k(-p), where p determines the roughness of the potential landscape. Numerical results on the localization length xi of eigenstates shows the existence of the localization-delocalization transition at p=2. It is found that the critical values for disorder strength W and also critical exponent nu for localization length changes with the values of p.